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

   

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

10th Maths Exercise 8.2 Samacheer Kalvi 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. = \(\mathrm{C.V}=\frac{\sigma}{\overline{x}} \times 100\)
10th Maths Exercise 8.2 Samacheer Kalvi Statistics and Probability

10th Maths Exercise 8.2 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:
10th Maths Exercise 8.2 Samacheer Kalvi Statistics and Probability

Class 10th Math Exercise 8.2 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:
Class 10th Math Exercise 8.2 Samacheer Kalvi Statistics and Probability

Ex 8.2 Class 10 Question 4.
If n = 5 , \(\overline{x}\) = 6, \(\Sigma x^{2}\) = 765, then calculate the coefficient of variation.
Solution:
Ex 8.2 Class 10 Samacheer Kalvi Statistics and Probability

8.2 Class 10 Question 5.
Find the coefficient of variation of 24, 26, 33, 37, 29,31.
Solution:
8.2 Class 10 Samacheer Kalvi Statistics and Probability
Exercise 8.2 Class 10 Samacheer Kalvi Statistics and Probability
10th Maths Statistics And Probability Samacheer Kalvi

Exercise 8.2 Class 10 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:
10th Class Exercise 8.2 Samacheer Kalvi Statistics and Probability

10th Maths Statistics And Probability 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:
10th Math 8.2 Samacheer Kalvi Statistics and Probability
Class 10 Chapter 8 Exercise 8.2 Samacheer Kalvi Statistics and Probability

10th Class Exercise 8.2 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.
Exercise 8.2 Class 10 Maths Samacheer Kalvi Statistics and Probability
Which of the three subjects shows highest variation and which shows lowest variation in marks?
Solution:
Class 10 Maths 8.2 Solution Samacheer Kalvi Statistics and Probability
Science subject shows highest variation. Social science shows lowest variation.

10th Math 8.2 Question 9.
The temperature of two cities A and B in a winter season are given below.
Samacheer Kalvi 10th Maths Chapter 8 Statistics and Probability Ex 8.2 13
Find which city is more consistent in temperature changes?
Solution:
Samacheer Kalvi 10th Maths Chapter 8 Statistics and Probability Ex 8.2 14
Samacheer Kalvi 10th Maths Chapter 8 Statistics and Probability Ex 8.2 15
Samacheer Kalvi 10th Maths Chapter 8 Statistics and Probability Ex 8.2 16
∴ Co-efficient of variation of City A is less than C.V of City B.
∴ City A is more consistent.