(c) mean = 18.2, median = 18.3, standard deviation = 1\nthe coefficient of skewness is \nthis distribution…
(c) mean = 18.2, median = 18.3, standard deviation = 1\nthe coefficient of skewness is \nthis distribution is select
Answer
Explanation:
Step1: Recall skewness formula
The formula for the coefficient of skewness (using the relationship between mean, median and standard - deviation) is $Sk = 3\frac{\text{Mean}-\text{Median}}{\text{Standard Deviation}}$.
Step2: Substitute given values
We are given that $\text{Mean}=18.2$, $\text{Median}=18.3$ and $\text{Standard Deviation}=1$. Substitute these values into the formula: $Sk = 3\times\frac{18.2 - 18.3}{1}$.
Step3: Calculate the value
First, calculate the numerator: $18.2-18.3=- 0.1$. Then, multiply by 3: $3\times(-0.1)=-0.3$.
If the coefficient of skewness $Sk < 0$, the distribution is negatively skewed.
Answer:
The coefficient of skewness is $- 0.3$. This distribution is negatively skewed.