Statistics And Probability Question 375
Question: Variance of the numbers $ 3,7,10,18,22 $ is equal to
Options:
A) 12
B) 6.4
C) $ \sqrt{49.2} $
D) 49.2
Show Answer
Answer:
Correct Answer: D
Solution:
[d] The mean of the given items $ \overline{x}=\frac{3+7+10+18+22}{5}=12 $ Hence, variance $ =\frac{1}{n}\sum{{{(x_{i}-\bar{x})}^{2}}} $ $ =\frac{1}{5}{ {{(3-12)}^{2}}+{{(7-12)}^{2}}+{{(10-12)}^{2}}+{{(18-12)}^{2}}+{{(22-12)}^{2}} } $ $ =\frac{1}{5}{81+25+4+36+100}=\frac{246}{5}=49.2 $
BETA
