M l aggarwal understanding icse mathematics class 8 Solutions for Chapter 19 data handling

The result of a survey of 200 people about their favourite fruit is given below: Represent the above data by a bar graph

Mr Khurana has two kitchen appliance stores. He compares the sales of two stores during a month and recovered as given below

Represent the above data by a double bar graph.

The number of goals scored by a football team in different matches is given below: 3, 1, 0, 4, 6, 0, 0, 1, 1, 2, 2, 3, 5, 1, 2, 0, 1, 0, 2, 3, 9, 2, 0, 1, 0, 1, 4, 1, 0, 2, 5, 1, 2, 2, 3, 1, 0, 0, 0, 1, 1, 0, 2, 3, 0, 1, 5, 2, 0

Make a frequency distribution table using tally marks

Given below a bar graph:

Read the bar graph carefully and answer the following questions: (i) What is the information given by the bar graph? (ii) On which item the expenditure is maximum? (iii) On which item the expenditure is minimum? (iv) State whether true or false: Expenditure on education is twice the expenditure on clothing

Given below a double bar graph

Read the double bar graph carefully and answer the following questions:

(i) What is the information given by the double graph?

(ii) Which mode of transport girls using more than the boys?

(iii) Which mode of transport boys using the most?

(iv) In which mode of transport number of girls is half the number of boys?

Using class intervals 0-5, 5-10, construct the frequency distribution table for the following data: 13, 6, 12, 9, 11, 14, 2, 8, 18, 16, 9, 13, 17, 11, 19, 6, 7, 12, 22, 21, 18, 1, 8, 12, 18

Given below are the marks secured by 35 students in a surprise test: 41, 32, 35, 21, 11, 47, 42, 00, 05, 18, 25, 24, 29, 38, 30, 04, 14, 24, 34, 44, 48, 33, 36, 38, 41, 48, 08, 34, 39, 11, 13, 27, 26, 43, 03.

Taking class intervals 0-10, 10-20 ……. Construct frequency distribution table.

Find the number of students obtaining below 20 marks.

The electricity bills (in ?) of 40 houses in a locality are given below:

78, 87, 81, 52, 59, 65, 101, 108, 115, 95, 98, 65, 62, 121, 128, 63, 76, 84, 89, 91, 65, 101, 95, 81, 87, 105, 129, 92, 75, 105, 78, 72, 107, 116, 127, 100, 80, 82, 61, 118.

Construct a grouped frequency distribution table of class size 10.

Draw a histogram for the frequency table made for data in Question 8, and answer the following questions:

(i) Which group has the maximum number of houses?

(ii) How many houses pay less than Rs 100?

(iii) How many houses pay Rs 100 or more?

The weights of 29 patients in a hospital were recorded as follows:

Draw a histogram to represent this data visually

In a study of diabetic patients, the following data was obtained:

Represent the above data by a histogram

The histogram showing the weekly wages (in Rs) of workers in a factory is given alongside:

Answer the following:

(i) What is the frequency of class 400-425?

(ii) What is the class having a minimum frequency?

(iii) How many workers get more than Rs 425?

(iv) How many workers get less than Rs 475?

(v) Number of workers whose weekly wages are more than or equal to Rs 400 but less than Rs 450

The number of hours for which students of a particular class watched television during holidays is shown in the histogram below.

Answer the following:

(i) For how many hours did the maximum number of students watch T.V.?

(ii) How many students watched T.V. for less than 4 hours?

(iii) How many students spent more than 5 hours in watching T.V.?

(iv) How many students spent more than 2 hours but less than 4 hours in watching T.V.?

The number of literate females in the age group of 10 to 40 years in a town is shown in the histogram alongside.

Answer the following questions:

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

(ii) What is the class size?

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

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

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

The following data represents the monthly expenditure of a family (in T) on various items. Draw a pie chart to represent this data.

The following data represents the percentage distribution of the expenditure incurred in publishing a book.

The following data represents the number of students got admission in different streams of a college:

Draw a pie chart to represent this data

The adjoining pie chart shows the expenditure of a country on various sports during year 2012. Study the pie chart carefully and answer the following questions:

(i) What percent of total expenditure is spent on cricket?

(ii) How much percent more is spent on hockey than that on tennis?

(iii) If the total amount spent on sports in 2012 is Rs 1, 80, 00, 000 then find the amount spent on Badminton

(iv) If the total amount spent on sports in 2012 is Rs 2, 40, 00, 000 then find the amount spent on cricket and hockey together.

The adjoining pie chart shows the number of students enrolled in class VI to class X of a school.

If 1440 students are enrolled from VI to X, then answer the following questions:

(i) How many students are enrolled in class VIII?

(ii) How many students are more in class IX than in class X?

(iii) What is the sum of students enrolled in VII and VIII?

(iv) Find the ratio of students enrolled in VI to students enrolled in X

List the outcomes you can see in these experiments

A die is rolled once. Find the probability of getting

(i) an even number

(ii) a multiple of 3

(iii) not a multiple of 3

Two coins are tossed together. Find the probability of getting

(i) two tails

(ii) atleast one tail

(iii) no tail

Three coins are tossed together. Find the probability of getting

(i) atleast two heads

(ii) atleast one tail

(iii) atmost one tail

Two dice are rolled simultaneaously. Find the probability of getting

(i) the sum as 7

(ii) the sum as 3 or 4

(iii) prime numbers on both the dice

A box contains 600 screws, one tenth are rusted. One screw is taken out at random from the box. Find the probability that it is

(i) a rusted screw

(ii) not a rusted screw

A letter is chosen from the word ‘TRIANGLE’. What is the probability that it is a vowel?

A bag contains 5 red, 6 black and 4 white balls. A ball is drawn at random from the bag, find the probability the ball is drawn is

(i) white

(ii) not black

(iii) red or black

(iv) neither red nor black

A box contains 17 cards numbered 1, 2, 3…….., 17 and are mixed thoroughly. A card is drawn at random from the box. Find the probability that the number on that card is

(i) odd

(ii) even

(iii) prime

(iv) divisible by 3

(v) divisible by 2 and 3 both

A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is: (i) an ace

(ii) a red card

(iii) neither a king nor a queen

(iv) a red face card or an ace

(v) a card of spade

(vi) non-face card of red colour

In a lottery, there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket. Find the probability of his winning a prize.