Statistics And Probability Question 431
Question: Karl-Pearson?s coefficient of skewness of a distribution is 0.32. Its S.D. is 6.5 and mean 39.6. Then the median of the distribution is given by
[Kurukshetra CEE 1991]
Options:
A) 28.61
B) 38.81
C) 29.13
D) 28.31
Show Answer
Answer:
Correct Answer: B
Solution:
We know that $ S_{k}=\frac{M-M_{o}}{\sigma } $ , where M = Mean, $ M_{o} $ = Mode, s = S.D. i.e., $ 0.32=\frac{39.6-M_{o}}{6.5} $
Þ $ M_{o}=37.52 $ and also know that, $ M_{o}= $ 3median ? 2mean $ 37.52= $ 3(Median) ? 2(39.6) Median = 38.81 (approx.).
BETA
