Question

(c) mean = 96, median = 94.8, standard deviation = 3
the coefficient of skewness is
this distribution is select

Explanation:

Step1: Recall skewness formula

The formula for the coefficient of skewness (using the relationship between mean, median and standard - deviation) is $Sk = 3\frac{\bar{x}-M_d}{s}$, where $\bar{x}$ is the mean, $M_d$ is the median and $s$ is the standard deviation.

Step2: Substitute given values

Given $\bar{x}=96$, $M_d = 94.8$ and $s = 3$. Substitute into the formula: $Sk=3\times\frac{96 - 94.8}{3}$.

Step3: Simplify the expression

First, calculate the numerator: $96-94.8 = 1.2$. Then, $3\times\frac{1.2}{3}=1.2$.
If $Sk>0$, the distribution is right - skewed.

Answer:

The coefficient of skewness is $1.2$. The distribution is right - skewed.