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Answer :
Final answer:
In this context, the sample skewness of -1.27 informs statistical analysis by highlighting the nature of the data distribution. The correct option is c.
Explanation:
The sample skewness, a measure of the asymmetry in the distribution of data around its mean, is calculated using the formula (mean - median) / standard deviation. In this scenario, where the mean is 83.11, the median is 105, and the standard deviation is 37.6, we substitute these values into the formula to determine the sample skewness. The computation yields a value of -1.27.
This negative skewness indicates that the dataset is skewed towards the left, implying a higher frequency of extreme values on the lower end of the distribution compared to the higher end. Understanding skewness is crucial for interpreting the shape and characteristics of a dataset, as it provides insights into the distribution's symmetry or lack thereof.
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