Question

If my dot plot is not skewed or symmetrical which measure of variability should I use? (15 data points) please help asap! :)

Answer 1

Answer:

1 Choosing Appropriate Measures

The dot plot shows the average number of hours students in a class

sleep each night.

6 7 8 9 10

Time (hours)

Amount of Sleep

a. What are the most appropriate measures to describe the center

and the variation?

Most of the data values are on the right clustered around 9, and the

tail extends to the left. The distribution is skewed left.

So, the median and the interquartile range are the most

appropriate measures to describe the center and the variation.

b. Describe the center and the variation of the data set.

The median is 8.5 hours. The fi rst quartile is 7.5, and the third

quartile is 9. So, the interquartile range is 9 − 7.5 = 1.5 hours.

The data are centered around 8.5 hours. The middle half of the

data varies by no more than 1.5 hours.