You have the following data set of ages of students in a com

You have the following data set of ages of students in a community college chemistry class.

A. Create a normal probability to determine whether these age data are normally distributed. Offer supporting evidence for your conclusion. (You don\'t need to draw the plot, but do describe what you see when you make the plot on your calculator.)

B. Given what you know about this data, describe the shape of the distribution of ages and comment on the existence of outliers. In this instance, it may be useful to construct a histogram or box-and-whisker plot to find outliers and support your answer.

B.

09442 22322 19021 21222 02-30 90800 12122 01219 22221 01300 22223 55104 24222 99189 11211

Solution

The second column gives the data arranged in ascending order.

Except one outlier 45, the data is symmetrical with uni mode and mean, median mode close to each other

If we remove 45, the new mean = 21.48718 very close to median

Mode = 20 does not show much deviation

Hence it can be taken as normal distribution.

18		19
19		19
25		19
45		19
21		19
20		20
24		20
20		20
21		20
23		20
20		20
30		20
20		20
21		20
22		20
21		20
19		21
19		21
20		21
18		21
20		21
20		21
20		21
22		21
21		22
23		22
20		22
21		22
19		23
20		23
22		24
21		24
20		25
29		29
34		30
24		34
22		45
22.075	Mean
21	Median
20	Mode