You are currently viewing 10th Maths Chapter 8 Statistics and Probability Exercise 8.2

10th Maths Chapter 8 Statistics and Probability Exercise 8.2

10th Maths Chapter 8 Statistics and Probability Exercise 8.2

10th Standard Maths Chapter 8 Statistics and Probability Exercise 8.2 Guide. TN SSLC Samacheer Kalvi Guide Chapter 8 Exercise 8.2 Book Back Answers & Solutions. 10th All Subject Guide – Click Here. Class 1 to 12 All Subject Book Back Answers – Click Here.  
 

 

 

1. The standard deviation and coefficient of variation of data are 1.2 and 25.6 respectively. Find the value of the mean.

Solution:
Co-efficient of variation C.V. = \(\mathrm{C.V}=\frac{\sigma}{\overline{x}} \times 100\)

 

Samacheer Kalvi 10th Maths Book Back Answers

 

2. The standard deviation and coefficient of variation of data are 1.2 and 25.6 respectively. Find the value of the mean.

Solution:

 

Samacheer Kalvi 10th Maths Book Back Answers

3. If the mean and coefficient of variation of data are 15 and 48 respectively, then find the value of standard deviation.

Solution:

 

Samacheer Kalvi 10th Maths Book Back Answers

 

4.If n = 5 , \(\overline{x}\) = 6, \(\Sigma x^{2}\) = 765, then calculate the coefficient of variation.

Solution:

 

Samacheer Kalvi 10th Maths Book Back Answers

 

5. Find the coefficient of variation of 24, 26, 33, 37, 29,31.

Solution:
Samacheer Kalvi 10th Maths Book Back Answers

 

Samacheer Kalvi 10th Maths Book Back Answers

6. The time taken (in minutes) to complete homework by 8 students in a day is given by 38, 40, 47, 44, 46, 43, 49, and 53. Find the coefficient of variation.

Solution:

 

Samacheer Kalvi 10th Maths Book Back Answers

 

7. The total marks scored by two students Sathya and Vidhya in the 5 subjects are 460 and 480 with a standard deviation of 4.6 and 2.4 respectively. Who is more consistent in performance?

Solution:
Samacheer Kalvi 10th Maths Book Back Answers

 

Samacheer Kalvi 10th Maths Book Back Answers

 

8. The mean and standard deviation of marks obtained by 40 students of a class in three subjects Mathematics, Science, and Social Science are given below.

Samacheer Kalvi 10th Maths Book Back Answers
Which of the three subjects shows the highest variation and which shows the lowest variation in marks?
Solution:
Samacheer Kalvi 10th Maths Book Back Answers
Science subject shows the highest variation. Social science shows the lowest variation.

 

 

9. The temperature of two cities A and B in the winter season are given below.

Samacheer Kalvi 10th Maths Book Back Answers
Find which city is more consistent in temperature changes?
Solution:
Samacheer Kalvi 10th Maths Book Back Answers

 

Samacheer Kalvi 10th Maths Book Back Answers

∴ Co-efficient of variation of City A is less than the C.V of City B.
∴ City A is more consistent.

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