Ncert solutions mathematics class 7 Solutions for Chapter 3 data handling

Q1) Find the range of heights of any ten students of your class.

Q2) Organise the following marks in a class assessment, in a tabular form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

(i) Which number is the highest? (ii) Which number is the lowest?

(iii) What is the range of the data? (iv) Find the arithmetic mean.

Q3) Find the mean of the first five whole numbers.

Q4) A cricketer scores the following runs in eight innings:

58, 76, 40, 35, 46, 45, 0, 100. Find the mean score.

Q5) Following table shows the points of each player scored in four games:

Now answer the following questions:

(i) Find the mean to determine A’s average number of points scored per game.

(ii) To find the mean number of points per game for C, would you divide the total

points by 3 or by 4? Why?

(iii) B played in all the four games. How would you find the mean?

(iv) Who is the best performer?

Q6) The marks (out of 100) obtained by a group of students in a science test are 85, 76,

90, 85, 39, 48, 56, 95, 81 and 75. Find the:

(i) Highest and the lowest marks obtained by the students.

(ii) Range of the marks obtained.

(iii) Mean marks obtained by the group.

Q7) The enrolment in a school for six consecutive years was as follows:

1555, 1670, 1750, 2013, 2540, 2820

Find the mean enrolment of the school for this period.

Q8) The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

(i) Find the range of the rainfall in the above data.

(ii) Find the mean rainfall for the week.

(iii) On how many days was the rainfall less than the mean rainfall.

Q9)

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

(i) What is the height of the tallest girl? (ii) What is the height of the shortest girl?

(iii) What is the range of the data? (iv) What is the mean height of the girls?

(v) How many girls have heights more than the mean height?

Q1 The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they the same?

The following are marks in a class assessment:

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Which number is the lowest?

The following are marks in a class assessment:

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Find the arithmetic mean.

The following are marks in a class assessment:

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

What is the range of the data?

The following are marks in a class assessment:

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Which number is the highest?

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the height of the shortest girl?

What is the mean of the first five whole numbers?

In a class, the heights of the students are as follow:

130, 143, 135, 139, 140,132, 142, 145, 148, 137

Find the range.

The following table shows the points of each player scored in four games:

What is the mean to determine A’s average number of points scored per game?

A cricketer scores the following runs in eight innings:

58, 76, 40, 35, 46, 45, 0, 100.

What is the mean score?

Following table shows the points of each player scored in four games:

Who is the best performer?

Following table shows the points of each player scored in four games:

B played in all four games. What is the mean of his score?

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75.

What is the lowest marks obtained by the students?

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81, and 75.

What is the range of the marks obtained?

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75.

What is the mean marks obtained by the group?

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75.

What is the highest marks obtained by the students?

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

On how many days was the rainfall less than the mean rainfall?

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the range of the data?

The enrolment in a school during six consecutive years was as follows:

1555, 1670, 1750, 2013, 2540, 2820.

What is the mean enrolment of the school for this period?

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

What is the range of rainfall in the above data?

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

What is the mean rainfall for the week?

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the height of the tallest girl?

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

How many girls have heights more than the mean height.

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the mean height of the girls?

Find the range of heights of any ten students of your class.

Organise the following marks in a class assessment, in a Tabular Form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Which number is the Lowest?

Organise the following marks in a class assessment, in a Tabular Form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Find the Arithmetic Mean.

Organise the following marks in a class assessment, in a Tabular Form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

Which number is the Highest?

Organise the following marks in a class assessment, in a Tabular Form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

What is the Range of the Data?

Find the mean of the First Five Whole Numbers.

A cricketer scores the following Runs in Eight Innings:

58, 76, 40, 35, 46, 45, 0, 100. Find the mean Score.

Following table shows the points of each player scored in four games:

To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?

Following table shows the points of each player scored in Four Games:

Find the mean to determine A’s average number of points Sored per Game.

Following table shows the points of each player scored in four games:

Who is the best performer?

Following table shows the points of each player scored in four games:

B played in all the four games. How would you find the mean?

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the:

Mean marks obtained by the group.

The marks (out of 100) obtained by a group of students in a science test are 85, 76,

90, 85, 39, 48, 56, 95, 81 and 75. Find the:

Highest and the Lowest Marks obtained by the students.

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the:

Range of the marks obtained.

The enrolment in a school during six consecutive years was as follows:

1555, 1670, 1750, 2013, 2540, 2820.

Find the mean enrolment of the school for this period.

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Find the mean rainfall for the week.

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Find the range of the rainfall in the above data.

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

On how many days was the rainfall less than the mean rainfall.

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

How many girls have heights more than the Mean Height.

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the Mean height of the girls?

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the Range of the data?

The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the Height of the Tallest Girl?

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

What is the height of the Shortest Girl?

Q2) The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

Q4) Find the mode and the median of data: 13, 16, 12, 14, 19, 12, 14, 13, 14

Q3 The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

(i) Find the mode and median of this data.

(ii) Is there more than one mode?

Q5) Tell whether the statement is true or false:

(i) The mode is always one of the numbers in data.

(ii) The mean is one of the numbers in data.

(iii) The median is always one of the numbers in data.

(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

What is the mode of this data?

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

What is the mean of this data?

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

What is the mode of this data?

What is the median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14?

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

What is the median of this data?

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

What is the median of this data?

State whether the given statement is true or false:

The mean is always one of the numbers in data.

What is the mode of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14?

State whether the given statement is true or false:

The mode is always one of the numbers in a data.

The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

What is the median of this data?

The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

What is the mode of this data?

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47.

There are more than one mode for this data.

The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the Mode and Median of this Data. Are they same?

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the Mean, Mode and Median of this data. Are the Three same?

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

Find the Mode and Median of this data.

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

Is there more than One Mode?

Find the Mode and Median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14

Tell whether the statement is True or False:

The data 6, 4, 3, 8, 9, 12, 13, 9 has Mean 9.

Tell whether the statement is true or false:

The Mean is one of the numbers in a Data.

Tell whether the statement is true or false:

The Mode is always one of the numbers in a data.

Tell whether the statement is true or false:

The Median is always one of the numbers in a data.

Q6) Take the data giving the minimum and the maximum temperature of various cities

given at the beginning of this Chapter. Plot a double bar graph using the

data and answer the following:

(i) Which city has the largest difference in the minimum and maximum temperature

on the given date?

(ii) Which is the hottest city and which is the coldest city?

(iii) Name two cities where maximum temperature of one was less than the minimum

temperature of the other.

(iv) Name the city which has the least difference between its minimum and the

maximum temperature.

Q5) Consider this data collected from a survey of a colony.

(i) Draw a double bar graph choosing an appropriate scale.

What do you infer from the bar graph?

(ii) Which sport is the most popular?

(iii) Which is more preferred, watching or participating in sports?

Q4) The performance of a student in 1st Term and 2nd Term is given. Draw a double bar

graph choosing appropriate scale and answer the following:

(i) In which subject, has the child improved his performance the most?

(ii) In which subject is the improvement the least?

(iii) Has the performance gone down in any subject?

Q3 A number of children in six different classes are given below. Represent the data on a

bar graph.

(a) How would you choose a scale?

(b) Answer the following questions:

(i) Which class has the maximum number of children? And the minimum?

(ii) Find the ratio of students of class sixth to the students of class eight.

Q2) Read the bar graph which shows the number of books sold by a bookstore

during five consecutive years and answer the following questions:

(i) About how many books were sold in 1989? 1990? 1992?

(ii) In which year were about 475 books sold? About 225 books sold?

(iii) In which years were fewer than 250 books sold?

(iv) Can you explain how you would estimate the number of books sold in 1989?

Q1) Use the bar graph to answer the following questions.

(a) Which is the most popular pet? (b) How many students have a dog as a pet?

Number of children in six different classes are given below.

How would you choose a scale?

The performance of a student in 1st Term and 2nd Term is given:

Has the performance gone down in any subject?

Number of children in six different classes are given below.

Which class has the maximum number of children?

Number of children in six different classes are given below.

Which class has the minimum number of children?

The performance of a student in 1st Term and 2nd Term is given:

In which subject is the improvement the least?

The performance of a student in 1st Term and 2nd Term is given:

In which subject, has the child improved his performance the most?

Number of children in six different classes are given below.

Find the ratio of students of class sixth to the students of class eight and select correct option

Consider this data collected from a survey of a colony.

Which is the least liked sports by people?

Consider this data collected from a survey of a colony.

Which is more preferred, watching or participating in sports?

Consider this data collected from a survey of a colony.

Which sport is most popular in terms of participation?

Consider this data collected from a survey of a colony.

Which is the most popular sport?

Read the bar graph giving the minimum and the maximum temperature of various cities:

Which city has the largest difference in the minimum and maximum temperature from the given data?

Read the bar graph giving the minimum and the maximum temperature of various cities:

Which is the hottest city ?

Read the bar graph giving the minimum and the maximum temperature of various cities:

Name the city which has the least difference between its minimum and the maximum temperature.

Read the bar graph giving the minimum and the maximum temperature of various cities:

Which is the coldest city ?

Use the bar graph (Fig 3.3) to answer the following questions.

Which is the most Popular Pet?

Use the bar graph (Fig 3.3) to answer the following questions.

How many students have dog as a pet?

Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:

In which year were about 475 books sold? About 225 books sold?

Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:

In which years were fewer than 250 books sold?

Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:

Can you explain how you would estimate the number of books sold in 1989?

Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore

during five consecutive years and answer the following questions:

About how many books were sold in 1989? 1990? 1992?

Number of children in six different classes are given below. Represent the data on a bar graph.

Find the ratio of students of class sixth to the students of class eight.

Number of children in six different classes are given below. Represent the data on a bar graph.

Which class has the maximum number of children? And the minimum?

Number of children in six different classes are given below. Represent the data on a bar graph.

How would you choose a scale?

The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

In which subject, has the child improved his performance the most?

The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

Has the performance gone down in any subject?

The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

In which subject is the Improvement the Least?

Consider this data collected from a survey of a colony.

Which sport is most popular?

Consider this data collected from a survey of a colony.

Draw a double bar graph choosing an appropriate scale.

What do you infer from the bar graph?

Consider this data collected from a survey of a colony.

Which is more preferred, watching or participating in sports?

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:

Name the city which has the least difference between its minimum and the maximum temperature.

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:

Which is the hottest city and which is the coldest city?

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:

Name two cities where maximum temperature of one was less than the minimum temperature of the other.

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:

Which city has the largest difference in the minimum and maximum temperature on the given date?

Q3) A coin is flipped to decide which team starts the game. What is the probability that your team will start?

Q2) There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

(i) What is the probability of drawing a marble with number 2?

(ii) What is the probability of drawing a marble with number 5?

Q1)

Tell whether the following is certain to happen, impossible, can happen but not certain.

(i) You are older today than yesterday. (ii) A tossed coin will land heads up.

(iii) A die when tossed shall land up with 8 on top.

(iv) The next traffic light seen will be green. (v) Tomorrow will be a cloudy day.

Select the correct option whether the given event is certain to happen, impossible, can happen but not certain.

You are older today than yesterday.

Select the correct option whether the given event is certain to happen, impossible, can happen but not certain.

A die when tossed shall land up with 8 on top.

Select the correct option whether the given event is certain to happen, impossible, can happen but not certain.

A tossed coin will land with heads up.

Select the correct option whether the given event is certain to happen, impossible, can happen but not certain.

The next traffic light seen will be green.

Select the correct option whether the given event is certain to happen, impossible, can happen but not certain.

Tomorrow will be a cloudy day.

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

What is the probability of drawing a marble with number 2?

A coin is flipped to decide which team starts the game. What is the probability that your team will start?

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

What is the probability of drawing a marble with the number 5?

Tell whether the following is certain to Happen, impossible, can happen but not Certain.

Tomorrow will be a Cloudy day.

Tell whether the following is certain to Happen, impossible, can happen but not Certain.

The next traffic light seen will be Green.

Tell whether the following is certain to happen, impossible, can Happen but Not Certain.

A die when tossed shall land up with 8 on top.

Tell whether the following is certain to happen, impossible, can happen but not certain.

You are older today than yesterday.

Tell whether the following is certain to happen, impossible, can happen but not certain.

A tossed coin will land heads up.

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

What is the probability of drawing a marble with number 2?

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

A coin is flipped to decide which team starts the game. What is the probability that your team will start?