Question

part: 1 / 4
part 2 of 4
(b) mean = 37, median = 34, standard deviation = 5
the coefficient of skewness is
this distribution is
select

Explanation:

Step1: Apply skewness formula

The Pearson's coefficient of skewness is calculated as $\frac{3(\text{Mean}-\text{Median})}{\text{Standard Deviation}}$

Step2: Substitute given values

Substitute $\text{Mean}=37$, $\text{Median}=34$, $\text{Standard Deviation}=5$:
$\frac{3(37-34)}{5} = \frac{3\times3}{5} = \frac{9}{5} = 1.8$

Step3: Classify distribution type

Since the skewness value is positive, the distribution is right-skewed (positively skewed).

Answer:

The coefficient of skewness is $1.8$.
This distribution is right-skewed (positively skewed).