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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics [Latest edition]

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Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics - Shaalaa.com
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Solutions for Chapter 8: Statistics

Below listed, you can find solutions for Chapter 8 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics [English] Class 9 TN Board.


Exercise 8.1Exercise 8.2Exercise 8.3Exercise 8.4
Exercise 8.1 [Pages 277 - 278]

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.1 [Pages 277 - 278]

Exercise 8.1 | Q 1 | Page 277

In a week, temperature of a certain place is measured during winter are as follows 26°C, 24°C, 28°C, 31°C, 30°C, 26°C, 24°C. Find the mean temperature of the week

Exercise 8.1 | Q 2 | Page 277

The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56 kg, 68 kg and 72 kg respectively. Find the weight of the fourth member

Exercise 8.1 | Q 3 | Page 277

In a class test in mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 students scored 40 marks and 3 students scored 30 marks. Find the mean of their score

Exercise 8.1 | Q 4 | Page 277

In a research laboratory scientists treated 6 mice with lung cancer using natural medicine. Ten days later, they measured the volume of the tumor in each mouse and given the results in the table

Mouse marking 1 2 3 4 5 6
Tumor Volume (mm3) 145 148 142 141 139 140

Find the mean

Exercise 8.1 | Q 5 | Page 278

If the mean of the following data is 20.2, then find the value of p

Marks 10 15 20 25 30
No. of students 6 8 p 10 6
Exercise 8.1 | Q 6 | Page 278

In the class, weight of students is measured for the class records. Calculate mean weight of the class students using direct method

Weight in kg 15 − 25 25 − 35 35 − 45 45 − 55 55 − 65 65 − 75
No. of students 4 11 19 14 0 2
Exercise 8.1 | Q 7 | Page 278

Calculate the mean of the following distribution using Assumed Mean Method

Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50
Frequency 5 7 15 28 8
Exercise 8.1 | Q 8 | Page 278

Find the Arithmetic Mean of the following data using Step Deviation Method:

Age 15 − 19 20 − 24 25 − 29 30 − 34 35 − 39 40 − 44
No. of persons 4 20 38 24 10 9
Exercise 8.2 [Pages 283 - 284]

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.2 [Pages 283 - 284]

Exercise 8.2 | Q 1 | Page 283

Find the median of the given values : 47, 53, 62, 71, 83, 21, 43, 47, 41

Exercise 8.2 | Q 2 | Page 283

Find the median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51

Exercise 8.2 | Q 3 | Page 284

The median of observation 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the values of x

Exercise 8.2 | Q 4 | Page 284

A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.

Exercise 8.2 | Q 5 | Page 284

The following are the marks scored by the students in the Summative Assessment exam

Class 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60
No. of Students 2 7 15 10 11 5

Calculate the median.

Exercise 8.2 | Q 6 | Page 284

The mean of five positive integers is twice their median. If four of the integers are 3, 4, 6, 9 and median is 6, then find the fifth integer

Exercise 8.3 [Page 287]

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.3 [Page 287]

Exercise 8.3 | Q 1 | Page 287

The monthly salary of 10 employees in a factory are given below:

₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000

Find the mean, median and mode

Exercise 8.3 | Q 2 | Page 287

Find the mode of the given data: 3.1, 3.2, 3.3, 2.1, 1.3, 3.3, 3.1

Exercise 8.3 | Q 3 | Page 287

For the data 11, 15, 17, x + 1, 19, x – 2, 3 if the mean is 14, find the value of x. Also find the mode of the data

Exercise 8.3 | Q 4 | Page 287

The demand of track suit of different sizes as obtained by a survey is given below:

Size 38 39 40 41 42 43 44 45
No. of Persons 36 15 37 13 26 8 6 2

Which size is in greater demanded?

Exercise 8.3 | Q 5 | Page 287

Find the mode of the following data:

Marks 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50
Number of students 22 38 46 34 20
Exercise 8.3 | Q 6 | Page 287

Find the mode of the following distribution:

Weight (in kgs) 25 − 34 35 − 44 45 − 54 55 − 64 65 − 74 75 − 84
Number of students 4 8 10 14 8 6
Exercise 8.4 [Page 288]

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.4 [Page 288]

Multiple choice questions

Exercise 8.4 | Q 1 | Page 288

Let m be the midpoint and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

  • 2m – b

  • 2m + b

  • m – b

  • m – 2b

Exercise 8.4 | Q 2 | Page 288

The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is

  • 101

  • 100

  • 99

  • 98

Exercise 8.4 | Q 3 | Page 288

A particular observation which occurs maximum number of times in a given data is called its

  • frequency

  • range

  • mode

  • median

Exercise 8.4 | Q 4 | Page 288

For which set of numbers do the mean, median and mode all have the same values?

  • 2, 2, 2, 4

  • 1, 3, 3, 3, 5

  • 1, 1, 2, 5, 6

  • 1, 1, 2, 1, 5

Exercise 8.4 | Q 5 | Page 288

The algebraic sum of the deviations of a set of n values from their mean is

  • 0

  • n – 1

  • n

  • n + 1

Exercise 8.4 | Q 6 | Page 288

The mean of a, b, c, d and e is 28. If the mean of a, c and e is 24, then mean of b and d is

  • 24

  • 36

  • 26

  • 34

Exercise 8.4 | Q 7 | Page 288

If the mean of five observations x, x + 2, x + 4, x + 6, x + 8, is 11, then the mean of first three observations is

  • 9

  • 11

  • 13

  • 15

Exercise 8.4 | Q 8 | Page 288

The mean of 5, 9, x, 17 and 21 is 13, then find the value of x

  • 9

  • 13

  • 17

  • 21

Exercise 8.4 | Q 9 | Page 288

The mean of the square of first 11 natural numbers is

  • 26

  • 46

  • 48

  • 52

Exercise 8.4 | Q 10 | Page 288

The mean of a set of numbers is `bar(X)`. If each number is multiplied by z, the mean is

  • `bar(X) + z`

  • `bar(X) - z`

  • `zbar(X)`

  • `bar(X)`

Solutions for 8: Statistics

Exercise 8.1Exercise 8.2Exercise 8.3Exercise 8.4
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics - Shaalaa.com

Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics

Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics [English] Class 9 TN Board Tamil Nadu Board of Secondary Education solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Samacheer Kalvi solutions for Mathematics Mathematics [English] Class 9 TN Board Tamil Nadu Board of Secondary Education 8 (Statistics) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Samacheer Kalvi textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 9 TN Board chapter 8 Statistics are Measures of Central Tendency, Concept of Data Handling, Collecting Data, Organisation of Data, Frequency Distribution Table, Arithmetic Mean - Raw Data, Mean of Grouped Data, Mean of Ungrouped Data, Method of Finding Mean for Grouped Data: Direct Method, Method of Finding Mean for Grouped Data: Deviation Or Assumed Mean Method, Method of Finding Mean for Grouped Data: the Step Deviation Method, A Special Property of the Arithmetic Mean, Concept of Median, Median of Grouped Data, Median of Ungrouped Data, Concept of Mode, Mode of Grouped Data, Mode of Ungrouped Data, Empirical Relationship Between the Three Measures of Central Tendency.

Using Samacheer Kalvi Mathematics [English] Class 9 TN Board solutions Statistics exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Samacheer Kalvi Solutions are essential questions that can be asked in the final exam. Maximum Tamil Nadu Board of Secondary Education Mathematics [English] Class 9 TN Board students prefer Samacheer Kalvi Textbook Solutions to score more in exams.

Get the free view of Chapter 8, Statistics Mathematics [English] Class 9 TN Board additional questions for Mathematics Mathematics [English] Class 9 TN Board Tamil Nadu Board of Secondary Education, and you can use Shaalaa.com to keep it handy for your exam preparation.

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