Here are some summary statistics for the size of forest fires last year: smallest fire = 74 acres, $=451\text { mean } = 451$ acres, $=451\text { median } = 451$ acres, $=7926\text { range } = 7926$ acres, $IQR=387\mathrm { IQR } = 387$ $Q 1 = 180,$ standard deviation = 61 acres.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

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

Question

Here are some summary statistics for the size of forest fires last year: smallest fire = 74 acres,

=451\text { mean } = 451

acres,

=451\text { median } = 451

acres,

=7926\text { range } = 7926

acres,

IQR=387\mathrm { IQR } = 387

Q 1 = 180,

standard deviation = 61 acres.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

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

Autumn Jewel Wood · Accepted Answer

Final Answer : B, Explanation :  The distribution is considered symmetric because the mean and the median are equal, which typically indicates a symmetric distribution.

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