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

### 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:**

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

∴ City A is more consistent.