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Answer :

For a left skewed shape, the mean is typically less than the median. Also, the median is closer to the third quartile than to the first quartile

For a right skewed shape, the mean is typically greater than the median.

The first step is to determine the mean of the data set

Mean = (60 + 68 + 70 + 72 + 80 + 84 + 85 + 90 + 90 + 92 + 92 + 94 + 94 + 94 + 96 + 96 + 98 + 100)/18

Mean = 1463/18 = 81.3

Median = (90 + 92)/2 = 91

We can see that the mean is less than the median

We can go further by determining the first and third quartile

First quartile = 80

Third quartile = 94

The median is slightly closer to the third quartile than the first quartile.

Thus, the data set is left skewed

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