Statistics And Probability Question 494
Question: The variance of the data 2, 4, 6, 8, 10 is
Options:
A) 6
B) 7
C) 8
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Here, $ \bar{x}=\frac{2+4+6+8+10}{5}=6 $ Hence, variance $ =\frac{1}{n}\sum{{{(x_{i}-\bar{x})}^{2}}} $ $ =\frac{1}{5}{ {{(2-6)}^{2}}+{{(4-6)}^{2}}+(6-6)+{{(8-6)}^{2}}+{{(10-6)}^{2}} } $ $ =\frac{1}{5}{ (16+4+0+4+16) }=\frac{1}{5}{40}=8 $
BETA
