A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12
Solution:
The given data is 6, 7, 10, 12, 13, 4, 8, 12.
Mean of the data is given by
x = (∑8i = 1xi)/n
= (6 + 7 + 10 + 12 + 13 + 4 + 8 + 12)/8
= 72/8
= 9
The following table is obtained from the given above data
xi | (xi - x) | (xi - x)2 |
6 | -3 | 9 |
7 | -2 | 4 |
10 | 1 | 1 |
12 | 3 | 9 |
13 | 4 | 16 |
4 | -5 | 25 |
8 | -1 | 1 |
12 | 3 | 9 |
74 |
Variance of the data
(σ²) = 1/n 8∑i = 1(xi - x)2
= 1/8 × 74
= 9.25
NCERT Solutions Class 11 Maths Chapter 15 Exercise 15.2 Question 1
Find the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12
Summary:
The mean and variance for the given data are 9 and 9.25
Math worksheets and
visual curriculum
visual curriculum