Statistics And Probability Question 134
Question: The variance of the data 2, 4, 6, 8, 10 is
[AMU 1992]
Options:
A) 6
B) 7
C) 8
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Here, $ \bar{x}=\frac{2+4+6+8+10}{5}=6 $ Hence, variance = $ \frac{1}{n}\Sigma {{(x_{i}-\overline{x})}^{2}} $ $ =\frac{1}{5}{{{(2-6)}^{2}}+{{(4-6)}^{2}}+{{(6-6)}^{2}}+{{(8-6)}^{2}}+{{(10-6)}^{2}}} $ $ =\frac{1}{5}{ (16+4+0+4+16 } $ $ =\frac{1}{5}{ 40 } $ $ =8 $ .
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