Samacheer kalvi 10th Maths - Statistics and Probability Ex 8.2

10th Maths Book Back Question and Answers – Chapter 8 Exercise 8.2:

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Samacheer Kalvi 10th Maths Book Back Answers – Ex 8.2 Statistics and Probability

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Chapter 8 Exercise 8.2 Statistics and Probability

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. = \(\mathrm{C.V}=\frac{\sigma}{\overline{x}} \times 100\)

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

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

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

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

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:

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:

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.

Which of the three subjects shows the highest variation and which shows the lowest variation in marks?
Solution:

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.

Find which city is more consistent in temperature changes?
Solution:

∴ Coefficient of variation of City A is less than the C.V of City B.
∴ City A is more consistent.

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06 Apr 2022