Answer to Question #298348 in Statistics and Probability for Leyman

Question

An analysis of the monthly allowances received by a sample of five engineers

from a telco company has been conducted recently. The mean and median of

the allowances is RM7000. A unimodal among the observations is RM12,000.

Find the standard deviation if the allowances paid to each engineer were in full

thousands

Answer 1

Mean $\mu=7000$

x=12000

N=5

So,

$1000=\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\\implies \dfrac{\sigma}{\sqrt{5}}=\dfrac{12000-7000}{1000}\\\implies \sigma=5\times \sqrt{5}=11.18$