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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 Solutions Chapter 8 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 Solutions Chapter 8 Statistics And Probability

10th Maths 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:
10th Maths 8.2 Samacheer Kalvi Solutions Chapter 8 Statistics And Probability

Samecheer Kalvi.Guru Question 4.
If n = 5 , \(\overline{x}\) = 6, \(\Sigma x^{2}\) = 765, then calculate the coefficient of variation.
Solution:
Samecheer Kalvi.Guru 10th Maths Solutions Chapter 8 Statistics And Probability Ex 8.2

Ex 8.2 Class 10 Question 5.
Find the coefficient of variation of 24, 26, 33, 37, 29,31.
Solution:
Ex 8.2 Class 10 Samacheer Kalvi Maths Solutions Chapter 8 Statistics And Probability
Exercise 8.2 Class 10 Samacheer Kalvi Maths Solutions Chapter 8 Statistics And Probability
10th Maths Statistics And Probability Samacheer Kalvi Solutions Chapter 8 Ex 8.2

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

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.
Class 10 Chapter 8 Exercise 8.2 Samacheer Kalvi Maths Solutions Statistics And Probability
Which of the three subjects shows highest variation and which shows lowest variation in marks?
Solution:
10th Class Exercise 8.2 Samacheer Kalvi Maths Solutions Chapter 8 Statistics And Probability
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.
Class 10 Maths Chapter 8 Exercise 8.2 Samacheer Kalvi Solutions Statistics And Probability
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.

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