Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 5 - Statistics [Latest edition]

## Chapter 5: Statistics

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4
Exercise 5.1 [Pages 99 - 100]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 5 StatisticsExercise 5.1 [Pages 99 - 100]

#### Fill in the blanks

Exercise 5.1 | Q 1. (i) | Page 99

The mean of first ten natural numbers is ____________

Exercise 5.1 | Q 1. (ii) | Page 99

If the average selling price of 15 books is ₹ 235, then the total selling price is __________

Exercise 5.1 | Q 1. (iii) | Page 99

The average of the marks 2, 9, 5, 4, 4, 8, 10 is ____________

Exercise 5.1 | Q 1. (iv) | Page 99

The average of integers between −10 to 10 is __________

Exercise 5.1 | Q 2 | Page 99

Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14. Find the mean age of the students

Exercise 5.1 | Q 3. (i) | Page 99

The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the mean mark

Exercise 5.1 | Q 3. (ii) | Page 99

The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the maximum mark obtained

Exercise 5.1 | Q 3. (iii) | Page 99

The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the minimum mark obtained

Exercise 5.1 | Q 4 | Page 100

The mean height of 11 students in a group is 150 cm. The heights of the students are 154 cm, 145 cm, Y cm, Y + 4 cm, 160 cm, 151 cm, 149 cm, 149 cm, 150 cm, 144 cm and 140 cm. Find the value of Y and the heights of two students?

Exercise 5.1 | Q 5 | Page 100

The mean of runs scored by a cricket team in the last 10 innings is 276. If the scores are 235, 400, 351, x, 100, 315, 410, 165, 260, 284, then find the runs scored in the fourth innings

Exercise 5.1 | Q 6 | Page 100

Find the mean of the following data.

5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6, 5.2, 5.5

Exercise 5.1 | Q 7 | Page 100

Arithmetic mean of 10 observations was found to be 22. If one more observation 44 was to be added to the data, what would be the new mean?

#### Objective type questions

Exercise 5.1 | Q 8 | Page 100

_______________ is a representative value of the entire data

• Mean

• range

• minimum value

• maximum value

Exercise 5.1 | Q 9 | Page 100

The mean of first fifteen even numbers is ____________

• 4

• 16

• 5

• 10

Exercise 5.1 | Q 10 | Page 100

The average of two numbers are 20. One number is 24, another number is ____________

• 16

• 26

• 20

• 40

Exercise 5.1 | Q 11 | Page 100

The mean of the data 12, x, 28 is 18. Find the value of x

• 18

• 16

• 14

• 22

Exercise 5.2 [Page 104]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 5 StatisticsExercise 5.2 [Page 104]

Exercise 5.2 | Q 1 | Page 104

Find the mode of the following data.

2, 4, 5, 2, 6, 7, 2, 7, 5, 4, 8, 6, 10, 3, 2, 4, 2

Exercise 5.2 | Q 2 | Page 104

The number of points scored by a Kabaddi team in 20 matches are 36, 35, 27, 28, 29, 31, 32, 31, 35, 38, 38, 31, 28, 31, 34, 33, 34, 31, 30, 29. Find the mode of the goals scored by the team

Exercise 5.2 | Q 3 | Page 104

The ages (in years) of 11 cricket players are given below. 25, 36, 39, 38, 40, 36, 25, 25, 38, 26, 36. Find the mode of their ages.

Exercise 5.2 | Q 4 | Page 104

Find the mode of the following data.

12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.

#### Objective Type Questions

Exercise 5.2 | Q 5 | Page 104

The colors used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is ________

• blue

• green

• white

• yellow

Exercise 5.2 | Q 6 | Page 104

Find the mode of data 3, 6, 9, 12, 15

• 1

• 2

• 3

• No mode

Exercise 5.2 | Q 7 | Page 104

Find the modes of the data 2, 1, 1, 3, 4, 5, 2

• 1 and 5

• 2 and 3

• 2 and 1

• 1 and 4

Exercise 5.3 [Page 109]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 5 StatisticsExercise 5.3 [Page 109]

#### Fill in the blanks

Exercise 5.3 | Q 1. (i) | Page 109

The median of the data 12, 14, 23, 25, 34, 11, 42, 45, 32, 22, 44 is  ___________

Exercise 5.3 | Q 1. (ii) | Page 109

The median of first ten even natural numbers is ___________

Exercise 5.3 | Q 2 | Page 109

Find the median of the given data: 35, 25, 34, 36, 45, 18, 28

Exercise 5.3 | Q 3 | Page 109

The weekly sale of motor bikes in a showroom for the past 14 weeks given below. 10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7. Find the median of the data.

Exercise 5.3 | Q 4 | Page 109

Find the median of the 10 observations 36, 33, 45, 28, 39, 45, 54, 23, 56, 25. If another observation 35 is added to the above data, what would be the new median?

#### Objective type questions

Exercise 5.3 | Q 5 | Page 109

If the median of a, 2a, 4a, 6a, 9a is 8, then find the value of a is

• 8

• 6

• 2

• 10

Exercise 5.3 | Q 6 | Page 109

The median of the data 24, 29, 34, 38, 35 and 30, is ___________

• 29

• 30

• 34

• 32

Exercise 5.3 | Q 7 | Page 109

The median first 6 odd natural numbers is ____________

• 6

• 7

• 8

• 14

Exercise 5.4 [Pages 109 - 110]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 5 StatisticsExercise 5.4 [Pages 109 - 110]

#### Miscellaneous Practice problems

Exercise 5.4 | Q 1 | Page 109

Arithmetic mean of 15 observations was calculated as 85. In doing so an observation was wrongly taken as 73 for 28. What would be correct mean?

Exercise 5.4 | Q 2 | Page 109

Find the median of 25, 16, 15, 10, 8, 30

Exercise 5.4 | Q 3 | Page 109

Find the mode of 2, 5, 5, 1, 3, 2, 2, 1, 3, 5, 3

Exercise 5.4 | Q 4 | Page 109

The marks scored by the students in social test out of 20 marks are as follows: 12, 10, 8, 18, 14, 16. Find the mean and median?

Exercise 5.4 | Q 5 | Page 109

The number of goals scored by a football team is given below. Find the mode and median for the data of 2, 3, 2, 4, 6, 1, 3, 2, 4, 1, 6

Exercise 5.4 | Q 6 | Page 109

Find the mean and mode of 6, 11, 13, 12, 4, 2

#### Challenge Problems

Exercise 5.4 | Q 7 | Page 110

The average marks of six students is 8. One more student mark is added and the mean is still 8. Find the student mark that has been added

Exercise 5.4 | Q 8 | Page 110

Calculate the mean, mode and median for the following data:

22, 15, 10, 10, 24, 21

Exercise 5.4 | Q 9 | Page 110

Find the median of the given data:

14, −3, 0, −2, −8, 13, −1, 7

Exercise 5.4 | Q 10 | Page 110

Find the mean of first 10 prime numbers and first 10 composite numbers

## Chapter 5: Statistics

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4

## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 5 - Statistics

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Concepts covered in Class 7th Mathematics Term 3 Answers Guide chapter 5 Statistics are Concept of Median, Concept of Data Handling, Collection of Data, Organisation of Data, Concept of Representative Values - Average, Arithmetic Mean - Raw Data, Concept of Mode.

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