Statistics And Probability Question 345
Question: The standard deviation of $ 9,16,23,30,37,44,51 $ is
Options:
A) 7
B) 9
C) 12
D) 14
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Standard deviation $ =\sigma =d\sqrt{\frac{n^{2}-1}{12}} $ d= size between each observation = 7 n= total number of observation = 7
$ \therefore \sigma =7\sqrt{\frac{{{(7)}^{2}}-1}{12}}=7\sqrt{\frac{49-1}{12}} $ $ =7\sqrt{\frac{48}{12}}=7\times 2=14 $
BETA
