At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

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