Here are some statistics for the annual Wildcat golf tournament: lowest score = 56,mean ${ score } = 90 \text {, }$ ${ median } = 98 \text {, }$ ${ range } = 94 \text {, }$ $\mathrm { IQR } = 106 \text {, }$ $Q1=36\mathrm { Q } 1 = 36$ standard ${ deviation } = 11 \text {. }$ Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

A) Skewed to the left; mean higher than median.
B) Skewed to the left; mean lower than median.
C) Symmetric; mean lower than median.
D) Skewed to the right; mean higher than median.
E) Skewed to the right; mean lower than median.

Question

Here are some statistics for the annual Wildcat golf tournament: lowest score = 56,mean

{ score } = 90 \text {, }

{ median } = 98 \text {, }

{ range } = 94 \text {, }

\mathrm { IQR } = 106 \text {, }

Q1=36\mathrm { Q } 1 = 36

standard

{ deviation } = 11 \text {. }

Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

A) Skewed to the left; mean higher than median.
B) Skewed to the left; mean lower than median.
C) Symmetric; mean lower than median.
D) Skewed to the right; mean higher than median.
E) Skewed to the right; mean lower than median.

Reaksmey Chhun · Accepted Answer

Final Answer : B, Explanation :  Since the lowest score is considerably lower than the mean, the distribution is likely skewed to the left. This means that the tail of the distribution is longer on the left side and the median is likely higher than the mean. Option B indicates a left skew with a lower mean than median, which matches the characteristics of this distribution.

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