What is the shape of the distribution for the data: 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6?

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Multiple Choice

What is the shape of the distribution for the data: 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6?

Explanation:
Skewness is about where the tail of a distribution extends. In this set, most values cluster toward the higher end (4s and 5s), while only a couple of values are very small (1 and 2). That creates a longer tail to the left, toward smaller numbers. The mean is slightly less than the median (mean about 3.92, median 4), which also signals a left, or negative, skew. So the data are best described as negatively skewed.

Skewness is about where the tail of a distribution extends. In this set, most values cluster toward the higher end (4s and 5s), while only a couple of values are very small (1 and 2). That creates a longer tail to the left, toward smaller numbers. The mean is slightly less than the median (mean about 3.92, median 4), which also signals a left, or negative, skew. So the data are best described as negatively skewed.

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