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Question
(d) mean = 99, median = 98.1, standard deviation = 3
the coefficient of skewness is
this distribution is select
Step1: Apply skewness formula
Use Pearson's coefficient of skewness: $Skewness = \frac{3 \times (Mean - Median)}{Standard\ Deviation}$
Step2: Substitute given values
Substitute Mean=99, Median=98.1, Standard Deviation=3:
$Skewness = \frac{3 \times (99 - 98.1)}{3}$
Step3: Simplify the expression
Cancel 3 in numerator/denominator, compute $99-98.1=0.9$:
$Skewness = 0.9$
Step4: Classify distribution
Positive skewness means right-skewed.
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The coefficient of skewness is $0.9$.
This distribution is right-skewed (positively skewed).