Question

mean = 50
median = 40
standard deviation = 5
What is the shape of the distribution?

Answer 1

Answer:

your solution is as follows

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Step-by-step explanation:

$to \: find : \\ shape \: of \: distribution \\ (nature \: of \: skewness) \\ \\ given : \\ mean \: = 50 \\ median = 40 \\ standard \: deviation \: (S.D) = 5 \\ \\ we \: know \: that \\ \\ Skp = \frac{3.(mean - median \: )}{S.D} \\ \\ = \frac{3.(50 - 40)}{5} \\ \\ = \frac{3 \times 10}{5} \\ \\ = 3 \times 2 \\ \\ Skp = 6 \\ \\ ∵Skp > 0 \\ distrubution \: of \: data \: is \: positively \\ asymmetrically \: skewed \: \: ie\\ mean > median > mode$

Answer 2

Given : mean = 50

median = 40

standard deviation = 5

To Find : shape of the distribution

Solution:

Mean < median  -ve  coefficient skewness   Left Tailed , Tail is longer on the left

 Mean > Median + ve coefficient skewness  Right Tailed , Tail is longer on the Right

mean = 50

median = 40

50 > 40

Mean > Median

Hence  + ve coefficient skewness  Right Tailed , Tail is longer on the Right

shape of the distribution  is longer Tail on Right side.

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