Question

Given the following data set, what is the shape of the data? 60, 68, 70, 72, 80, 84, 85, 90, 90, 92, 92, 94, 94, 94, 96, 96, 98, 100 Select one: O constant O skewed left O skewed right O symmetric

Answer 1

the correct answer is The data is skewed right

Explanation:

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Answer 2

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