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## Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 8 Statistics and Probability Ex 8.2

Question 1.

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

Solution:

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

Question 2.

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

Solution:

Question 3.

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

Solution:

Question 4.

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

Solution:

Question 5.

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

Solution:

Question 6.

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

Solution:

Question 7.

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

Solution:

Question 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 highest variation and which shows lowest variation in marks?

Solution:

Science subject shows highest variation. Social science shows lowest variation.

Question 9.

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

Find which city is more consistent in temperature changes?

Solution:

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

∴ City A is more consistent.