Question

Statistic Name Value Mean 1548.57 Median 1553.64 Variance 1286.75 Standard Deviation 35.87 Use the mean and...

Statistic Name

Value

Mean

1548.57

Median

1553.64

Variance

1286.75

Standard Deviation

35.87
  • Use the mean and the median to describe the distribution of relative skill of your team.
    • Describe the skew: Is it left, right, or bell-shaped?
    • Explain which measure of central tendency is best to use to represent the center of the distribution based on its skew.

Please walk me through the above 2 questions. Thank you!! :)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

As provided in the question,

Mean

1548.57

Median

1553.64

Variance

1286.75

Standard Deviation

35.87

The Mean of the distribution is a little less than Median, i.e. the distribution is Negatively skewed or Left-Skewed. Also, using the given data, we can approximately compute the skewness by:

i.e.

, which supports our claim of the distribution being Left -Skewed.

Usually, Median is the middlemost value of a distribution.So, Median could be the best measure of central tendency, but given the negative skewness prominent in the distribution ,we can also take Mean to be the best representative as center of the distribution.

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