Question

Mean=50 median=40 standard deviation=5 what is the shape of standard deviation

Answer 1

Answer:

15

Explanation:

50-40=10,10+5=15

mean-mediam,ans of subtraction of mean and median+standard deviation

Answer 2

Answer:

Right-skewed

Given:

Mean=50 median=40 standard deviation=5

To find:

Shape of standard deviation

Solution:

The skewness of a data-set with mean M, median Me and standard deviation s is given by:

S = 3(M-Me) / s

If |S| < 0.5, the distribution is said to be symmetric.

If S <-0.5, the distribution is left-skewed.

If S > 0.5, the distribution is right-skewed.

Mean of 50, thus, M = 50

Median of 40, thus Me = 40M

Standard deviation of 5, thus, s = 5

The coefficient is:

S = 3(M-Me)/s = 3(50-40)/5 = 30/5 = 6

Thus, the distribution is right-skewed.

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