Ncert exemplar solutions mathematics class 8 Solutions for Chapter 2 data handling

Look at the histogram below and answer the questions that follow.

What is the class size?

**When a dice is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally likely.

In a histogram __________ are drawn with width equal to a class interval without leaving any gap in between.

The class size of the interval 80 – 85 is _______ .

When the number of observations is large, the observations are usually organised in groups of equal width called _________ .

State wether the statment is True or False.

10 marks the highest frequency.

State wether the statment is True or False.

Getting a prime number on throwing a die is an event.

State wether the statment is True or False.

The central angle of a sector in a pie chart cannot be more than 180^o.

State wether the statment is True or False.

If a pair of coins is tossed, then the number of outcomes are 2.

State wether the statment is True or False.

In a pie chart a whole circle is divided into sectors.

State wether the statment is True or False.

9 students got full marks.

State wether the statment is True or False.

On throwing a dice once, the probability of occurence of an even number is ½.

State wether the statment is True or False.

Sum of all the central angles in a pie chart is 360°.

State wether the statment is True or False.

From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.

The number of times a particular observation occurs in a given data is called its _______.

The top speeds of thirty different land animals have been organized into a frequency table. Check whether the given histogram for the given data is same.

State wether the statment is True or False.

To verify Pythagoras theorem is a random experiment.

State wether the statment is True or False.

In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number

A dice is rolled once. What is the probability that the number on top will be a multiple of 3 ?

State wether the statment is True or False.

The probability of getting number 6 in a throw of a dice is 1/6. Similarly the probability of getting a number 5 is 1/5.

State wether the statment is True or False.

The following pictorial representation of data is a histogram.

State wether the statment is True or False.

On throwing a dice once, the probability of occurence of a composite number is ½.

State wether the statment is True or False.

The class size of the class interval 60 – 68 is 8.

Given below is a frequency distribution table. Read it and answer the question that follows.

**What is the upper limit of the last class interval?

State wether the statment is True or False.

The frequency of more than 8 marks is 21.

State wether the statment is True or False.

If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first class interval is 45 –50.

Given below is a frequency distribution table. Read it and answer the question that follow.

What is the class size?

Given below is a frequency distribution table. Read it and answer the question that follow.

Which interval has the lowest frequency?

Given below is a frequency distribution table. Read it and answer the question that follow.

Which interval has a frequency of 10?

Given below is a frequency distribution table. Read it and answer the question that follow.

What is the frequency of the third class?

Given below is a frequency distribution table. Read it and answer the question that follow.

What is the lower limit of the second class interval?

State wether the statment is True or False.

The probability of getting a prime number is the same as that of a composite number in a throw of a dice.

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.

How many children spend 3 or lesser hours in playing games?

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

By which two modes of transport are equal number of children travelling?

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

What fraction of children travel by car?

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

How many children use taxi to travel to school?

Look at the histogram below and answer the questions that follow.

How many students have height more than or equal to 135 cm but less than 150 cm?

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.

Which is greater — number of children who spend 2 hours or more per day or number of children who play for less than one hour?

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

What is the most common mode of transport?

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.

How many children spend at least one hour in playing games?

A dice is rolled once. What is the probability that the number on top will be Odd ?

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.

How many children spend more than 2 hours in playing games?

A dice is rolled once. What is the probability that the number on top will be a factor of 6 ?

A dice is rolled once. What is the probability that the number on top will be a factor of 36 ?

State wether the statment is True or False.

One or more outcomes of an experiment make an event.

Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 2/9. If the total number of balls in the bag is 36, find the number of yellow balls.

A dice is rolled once. What is the probability that the number on top will be greater than 5 ?

A dice is rolled once. What is the probability that the number on top will be less than 1 ?

Classify the following statement under appropriate options:

Sun rising from the west.

Classify the following statement under appropriate options:

Getting 7 when a die is thrown.

Classify the following statement under appropriate options:

Sun setting in the evening.

Classify the following statement under appropriate options:

India winning a cricket match against Pakistan.

Classify the following statement under appropriate options:

Getting the sum of angles of a triangle as 180°.

Look at the histogram below and answer the questions that follow.

How many students have height less than 140 cm?

Look at the histogram below and answer the questions that follow.

Which class interval has the least number of students?

The following data represents the different number of animals in a zoo.

Find which graph is most appropriate to the given data.

The following pie chart depicts the expenditure of a state government under different heads.

What fraction of the total expenditure is spent on both roads and public welfare together?

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

**14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20. Class interval is 4 –8 (excluding 8 and including

4).

Check if the given histogram is of the following data.**

The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Class interval is (30 – 35), 35 not included. Which class has the least frequency?

The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Class interval is (30 – 35), 35 not included. Which class has the maximum frequency?

The following pie chart depicts the expenditure of a state government under different heads.

If the total spending is 10 crores, how much money was spent on roads?

Playing cards

From a pack of cards the following cards are kept face down:

[Queen, King and Jack cards are called face cards.]

Suhail wins if he picks up a face card. Find the probability of Suhail winning?

The following pie chart depicts the expenditure of a state government under different heads.

If the total spending money is 10 crore then how many times is the amount of money spent on education compared to the amount spent on roads?

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

Which weight group has the highest frequency?

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

How many classes are there in the frequency distribution table?

Check wether the following table corresponds to the given histogram.

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

In which age group are literate females the least?

In a hypothetical sample of 20 people, the amount of money (in thousands of rupees) with each was found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Check wether the histogram corresponds to the given data.

In a district, the number of branches of different banks is given below:

Find the corresponding pie chart.

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

In which age group is the number of literate females the highest?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

What is the class width?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

How many teachers have teaching experience of 10 to 20 years?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

How many teachers are having the least teaching experience ?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

How many teachers are having the maximum teaching experience ?

State wether the statment is True or False.

In a pie chart two or more central angles can be equal.

A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the findings of this survey. From this pie chart answer the following:

Which type of beverage is liked by the maximum number of people?

Identify which symbol should appear in sector which is having 28%.

At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting any toy except a chocolate ?

In the time table of a school, periods allotted per week to different teaching subjects are given below:

Find which pie chart corresponds to the given data.

At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a toy car ?

At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a ball ?

Sonia picks up a card from the given cards.

Calculate the probability of getting a G card.

Identify which symbol should appear in sector which is having 22%.

The following data represents the approximate percentage of water in various oceans. Prepare a pie chart for the given data.

Sonia picks up a card from the given cards.

Calculate the probability of getting an odd number.

For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows:

Find which pie chart corresponds to the given data.

Sonia picks up a card from the given cards.

Calculate the probability of getting a B card bearing number > 7.

Sonia picks up a card from the given cards.

Calculate the probability of getting a Y card.

Identify which symbol should appear in sector which is having 38%.

Identify which symbol should appear in sector which is having 32%.

Identify which symbol should appear in sector which is having 18%.

Identify which symbol should appear in sector which is having 30%.

Identify which symbol should appear in sector which is having 32%.

Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.

Which type of media advertising is the greatest amount of the total?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Phone category?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Clothing category?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Food category?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Utilities category?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Housing category?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Car Loan & Maintanence category?

Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.

Which type of media advertising is the least amount of the total?

Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.

What per cent of the total advertising amount is spent on direct mail campaigns?

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in Entertainment category?

State wether the statment is True or False.

The frequency of less than 8 marks is 29.

If 400 students voted in all, then how many did vote ‘Others’ colour as their favorite?

State wether the statment is True or False.

From the given pie chart, we can infer that production of Manganese is least in state B.

Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

A survey was carried out to find the favorite beverage preferred by a certain group of young people. The following pie chart shows the findings of this survey. From this pie chart answer the following:

If 45 people like tea, how many people were surveyed?

Classify the following statement under appropriate options:

Winning a racing competition by you.

Playing cards

From a pack of cards the following cards are kept face down:

What is the probability of Suhail winning ? Reshma wins if she picks up a 4. What is the probability of Reshma winning?

The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is _______.

Given below is a frequency distribution table. Read it and answer the question that follow.

What is the class size?

Tally marks are used to find:

Check wether the following table corresponds to the given histogram.

The below histogram shows the number of literate females in the age group of 5 to 35 years in a town.

In which age group is the number of literate females the highest?

The height of the trees has been organized into a frequency table. Check whether the given histogram for the given data is the same

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

What is the classes width?

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

How many classes are present assuming all the classes are of equal width.

Shoes of the following brands are sold in Nov. 2007 at a shoe store.

Which is the appropriate pie chart represented for the above data?

Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.

What per cent of the advertising amount is spent on newspaper and magazine advertisements?

The height of a rectangle in a histogram shows the

A geometric representation showing the relationship between a whole and its parts is a

In a pie chart, the total angle at the centre of the circle is

Which of the following is not a random experiment?

The range of the data 30, 61, 55, 56, 60, 20, 26, 46, 28, 56 is

Size of the class 150 –175 is

The following pie chart represents the distribution of proteins in parts of a human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?

Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is

Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is

What is the probability of choosing a vowel from the alphabets?

The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is

A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hari takes out a marble from the jar at random. What is the probability that the chosen marble is of red colour?

In a school only, 3 out of 5 students can participate in a competition. What is the probability of the students who do not make it to the competition?

Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?

In a frequency distribution with classes 0 –10, 10 –20 etc., the size of the class intervals is 10. The lower limit of fourth class is

Which of the following is a reasonable conclusion for the given data?

In a throw of a dice, the probability of getting the number 7 is

What is the central angle of the sector (in the above pie chart) representing hormones enzymes and other proteins?

Listed below are the temperature in ^oC for 10 days.

–6, –8, 0, 3, 2, 0, 1, 5, 4, 4

What is the range of the data?

Upper limit of class interval 75 –85 is

Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is

What is the central angle of the sector (in the above pie chart) representing skin and bones together?

A dice is tossed two times. The number of possible outcomes is

A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is

A graph showing two sets of data simultaneously is known as

An experiment whose outcomes cannot be predicted exactly in advance is called a ________ experiment.

Tally marks are used to find

Data represented using circles is known as

Which colour received 1/5 of the votes?

A coin is tossed two times. The number of possible outcomes is

A coin is tossed three times. The number of possible outcomes is

In the class interval 20 – 30, the lower class limit is ______.

In the class interval 26 – 33, 33 is known as ______.

In the experiment of tossing a coin one time, the outcome is either _______ or _______ .

When a dice is rolled, the six possible outcomes are _______

Each outcome or a collection of outcomes in an experiment makes an _______ .

The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is _______.

The difference between the upper and lower limit of a class interval is called the _______ of the class interval.

A pie chart is used to compare ______ to a whole.

The total number of outcomes when a coin is tossed is ________ .

State wether the statment is True or False.

In a pie chart two central angles can be of 180^o.

In a histogram, class intervals and frequencies are taken along __________ axis and __________ axis.

In the class intervals 10 –20, 20 –30, etc., respectively, 20 lies in the class __________ .

The height of a rectangle in a histogram shows the

(a) Width of the class

(b) Upper limit of the class

(c) Lower limit of the class

(d) Frequency of the class

A geometric representation showing the relationship between a whole and its parts is a

(a) Pie chart

(b) Histogram

(c) Bar graph

(d) Pictograph

In a pie chart, the total angle at the centre of the circle is

(a) 180 (b) 360 (c) 270 (d) 90

The range of the data 30, 61, 55, 56, 60, 20, 26, 46, 28, 56 is

(a) 26 (b) 30 (c) 41 (d) 61

Which of the following is not a random experiment?

(a) Tossing a coin

(b) Rolling a dice

(c) Choosing a card from a deck of 52 cards

(d) Throwing a stone from a roof of a building

What is the probability of choosing a vowel from the alphabets?

(a) 21/26 (b) 5/26 (c) 1/26 (d) 3/26

In a school only, 3 out of 5 students can participate in a competition. What is the probability of the students who do not make it to the competition?

(a) 0.65 (b) 0.4 (c) 0.45 (d) 0.6

Students of a class voted for their favourite colour and a pie chart was prepared based on the data collected.

Which colour received 1/5 of the votes?

(a) Red (b) Blue (c) Green (d) Yellow

Students of a class voted for their favourite colour and a pie chart was prepared based on the data collected.

If 400 students voted in all, then how many did vote ‘Others’ colour as their favourite?

(a) 6 (b) 20 (c) 24 (d) 40

Students of a class voted for their favorite colour and a pie chart was prepared based on the data collected.

Which of the following is a reasonable conclusion for the given data?

(a) (1/20)th student voted for blue colour

(b) Green is the least popular colour

(c) The number of students who voted for red colour is two times the number of students who voted for yellow colour

(d) Number of students liking together yellow and green colour is approximately the same as those for red colour.

Listed below are the temperature in degree celcius for 10 days.

–6, –8, 0, 3, 2, 0, 1, 5, 4, 4

What is the range of the data?

(a) 8 (b) 13 degree celcius (c) 10 degree celcius (d) 12 degree celcius

Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

(a) 7/20 (b) 3/5 (c) 1/5 (d) ¼

Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins if the spinner lands on red. Varun wins if spinner lands on blue and Yash win if it lands on the green. Which of the following spinner should be used to make the game fair?

(a) (i) (b) (ii) (c) iii (d) (iv)

In a frequency distribution with classes 0 –10, 10 –20 etc., the size of the class intervals is 10. The lower limit of fourth class is

(a) 40 (b) 50 (c) 20 (d) 30

A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is

(a) 2/5 (b) 3/5 (c) 1/5 (d) 4/5

Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is

(a) 120 (b) 150 (c) 144 (d) 40°

The monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount spends on food and house rent is

(a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000

The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is

(a) 108 (b) 54 (c) 30 (d) 216

Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

(a) 2/5 (b) 1/5 (c) 3/5 (d) 4/5

The following pie chart represents the distribution of proteins in parts of a human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?

(a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1

What is the central angle of the sector (in the above pie chart) representing skin and bones together?

(a) 36 (b) 60 (c) 90 (d) 96

What is the central angle of the sector (in the above pie chart) representing hormones enzymes and other proteins.

(a) 120 (b) 144 (c) 156 (d) 176

A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurrence of Head is

(a) ½ (b) 5/12 (c) 7/12 (d) 5/7

Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is

(a) 8 (b) 7 (c) 9 (d) 12

A graph showing two sets of data simultaneously is known as

(a) Pictograph

(b) Histogram

(c) Pie chart

(d) Double bar graph

Size of the class 150 –175 is

(a) 150 (b) 175 (c) 25 (d) –25

In a throw of a dice, the probability of getting the number 7 is

(a) ½ (b) 1/6 (c) 1 (d) 0

Data represented using circles is known as

(a)Bar graph

(b) Histogram

(c) Pictograph

(d) Pie chart

Tally marks are used to find

(a) Class intervals

(b) Range

(c) Frequency

(d) Upper limit

Upper limit of class interval 75 –85 is

(a) 10 (b) –10 (c) 75 (d) 85

Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?

(a) 1/5 (b) 2/5 (c) 3/5 (d) 4/5

A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hari takes out a marble from the jar at random. What is the probability that the chosen marble is of red colour?

(a) 7/10 (b) 3/10 (c) 4/5 (d) 2/5

A coin is tossed two times. The number of possible outcomes is

(a) 1 (b) 2 (c) 3 (d) 4

A coin is tossed three times. The number of possible outcomes is

(a) 3 (b) 4 (c) 6 (d) 8

A dice is tossed two times. The number of possible outcomes is

(a) 12 (b) 24 (c) 36 (d) 30

Data available in an unorganised form is called __________ data.

In the class interval 20 – 30, the lower class limit is _________ .

In the class interval 26 – 33, 33 is known as ________ .

The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is _________ .

A pie chart is used to compare __________ to a whole.

In the experiment of tossing a coin one time, the outcome is either ______ or __________.

.

When a dice is rolled, the six possible outcomes are _________ .

Each outcome or a collection of outcomes in an experiment makes an ___________ .

An experiment whose outcomes cannot be predicted exactly in advance is called a ___________ experiment.

The difference between the upper and lower limit of a class interval is called the __________ of the class interval.

The sixth class interval for a grouped data whose first two class intervals are 10 – 15 and 15 – 20 is ___________ .

The total number of people surveyed is __________ .

The number of people owning books more than 60 is ___________ .

The number of people owning books less than 40 is _____________ .

The number of people having books more than 20 and less than 40 is ___________ .

The number of times a particular observation occurs in a given data is called its ________ .

When the number of observations is large, the observations are usually organised in groups of equal width called __________ .

The total number of outcomes when a coin is tossed is _________ .

The class size of the interval 80 – 85 is _________ .

In a histogram __________ are drawn with width equal to a class interval without leaving any gap in between.

When a dice is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally _____ .

In a histogram, class intervals and frequencies are taken along __________ axis and __________ axis.

In the class intervals 10 –20, 20 –30, etc., respectively, 20 lies in the class ________ .

In a pie chart a whole circle is divided into sectors.

The central angle of a sector in a pie chart cannot be more than 180.

Sum of all the central angles in a pie chart is 360°.

In a pie chart two central angles can be of 180.

In a pie chart two or more central angles can be equal.

Getting a prime number on throwing a die is an event.

9 students got full marks.

The frequency of less than 8 marks is 29.

The frequency of more than 8 marks is 21.

10 marks the highest frequency.

If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first class interval is 45 –50.

From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.

The class size of the class interval 60 – 68 is 8.

If a pair of coins is tossed, then the number of outcomes are 2.

On throwing a dice once, the probability of occurence of an even number is ½.

On throwing a dice once, the probability of occurence of a composite number is ½.

From the given pie chart, we can infer that production of Manganese is least in state B.

One or more outcomes of an experiment make an event.

The probability of getting number 6 in a throw of a dice is 1/6. Similarly the probability of getting a number 5 is 1/5.

The probability of getting a prime number is the same as that of a composite number in a throw of a dice.

In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number.

To verify Pythagoras theorem is a random experiment.

The following pictorial representation of data is a histogram.

Given below is a frequency distribution table. Read it and answer the question that follows.

(a) What is the lower limit of the second class interval?

(b) What is the upper limit of the last class interval?

(c) What is the frequency of the third class?

(c) What is the frequency of the third class?

(e) Which interval has the lowest frequency?

(f) What is the class size?

The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

Given below is a pie chart showing the time spent by a group of 350 children in different games. Observe it and answer the questions that follow.

(a) How many children spend at least one hour in playing games?

(b) How many children spend more than 2 hours in playing games?

(c) How many children spend 3 or lesser hours in playing games?

(d) Which is greater — number of children who spend 2 hours or more per day or number of children who play for less than one hour?

The pie chart on the right shows the result of a survey Carried out to find the modes of travel used by the children to g to school. Study the pie chart and answer the questions that follow.

(a) What is the most common mode of transport?

(b) What fraction of children travel by car?

(c) If 18 children travel by car, how many children took part in the survey?

(d) How many children use taxi to travel to school?

(e) By which two modes of transport are equal number of children travelling?

A dice is rolled once. What is the probability that the number on top will be

(a) Odd

(b) Greater than 5

(c) A multiple of 3

(d) Less than 1

(e) A factor of 36

(f) A factor of 6

Classify the following statements under appropriate headings.

(a) Getting the sum of angles of a triangle at 180°.

(b) India winning a cricket match against Pakistan.

(c) Sun setting in the evening.

(d) Getting 7 when a die is thrown.

(e) Sun rising from the west.

(f) Winning a racing competition by you.

Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 2/9. If the total number of balls in the bag is 36, find the number of yellow balls.

Look at the histogram below and answer the questions that follow.

Following are the number of members in 25 families of a village:

6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5. Prepare a frequency distribution table for the data using class intervals 0 –2, 2 –4, etc.

Draw a histogram to represent the frequency distribution in question 91.

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.

Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 –8 (excluding 8 and including 4).

Prepare a histogram from the frequency distribution table obtained in question 93.

The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.

(i) Which class has the least frequency?

(ii) Which class has the maximum frequency?

Shoes of the following brands are sold in Nov. 2007 at a shoe store. Construct a pie chart for the data.

The following pie chart depicts the expenditure of a state government under different heads.

The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.

Playing cards

(a) From a pack of cards the following cards are kept face down:

[Queen, King and Jack’s cards are called face cards.]

Suhail wins if he picks up a face card. Find the probability of Suhail winning?

(b) Now the following cards are added to the above cards:

What is the probability of Suhail winning now? Reshma wins if she picks up a 4. What is the probability of Reshma winning?

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

(a) How many classes are there in the frequency distribution table?

(b) Which weight group has the highest frequency?

Complete the following table:

Find the total number of persons whose weights are given in the above table.

Draw a histogram for the following data.

In a hypothetical sample of 20 people, the amount of money (in thousands of rupees) with each was found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw a histogram of the frequency distribution, taking one of the class intervals as 50 –100.

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

(a) Write the classes assuming all the classes are of equal width.

(b) What is the classes width?

(c) In which age group are literate females the least?

(d) In which age group is the number of literate females the highest?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

In a district, the number of branches of different banks is given below:

Draw a pie chart for this data.

For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows:

Draw a pie chart for this data.

A survey was carried out to find the favorite beverage preferred by a certain group of young people. The following pie chart shows the findings of this survey. From this pie chart answer the following:

The following data represents the approximate percentage of water in various oceans. Prepare a pie chart for the given data.

Pacific 40%

Atlantic 30%

Indian 20%

Others 10%

At a Birthday Party, the children spin a wheel to get a gift. Find the probability of

Sonia picks up a card from the given cards.

Calculate the probability of getting

Identify which symbol should appear in each sector in 113, 114.

A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs. 50,000 each month, how much should he spend in each category?

Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.