Question

if the frequency distribution is symmetrical the coefficient of skewness is ​

Answer 1

$\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}$

Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.

The importance of these coefficients lies in the fact that they give some idea about the shape of the curve obtained from the frequency distribution. For symmetrical distribution, all the moments of odd order about the mean vanish or (are zero) and therefore �3 = 0 and hence β1 = 0.

Alone :)

Answer 2

Answer:

The coefficient of skewness is zero.

Step-by-step explanation:

Skewness is used to measure the asymmetric distribution of the probability of random variable. The formula for measuring skewness is given by

Skewness = (Mean - Mode)/Standard deviation

1. If there is a long tail of the distribution towards the higher values or right hand-side then the skewness is positive.

In this case, Mean $>$ mode.

2. If there is a long tail of the distribution towards the lower values or left  hand-side then the skewness is negative.

In this case, Mean $<$ mode.

3. The value of coefficient is zero in symmetrical distribution.

4. The value of skewness is unitless.

#SPJ6