Question

The following are the weights of a sample of female high school students:

08 |8

09 | 5 2 0 9

10 | 4 9 3

11 | 5 9 8 3

12 | 3 9 7 7 6

14 | 0 6 3

15 | 4 1 7 2

18 | 5

This table, for example, indicates that one female weighs 88 pounds and that no female students weigh between 130 and 139 pounds.

(a) Find the mean weight.

(b) Find the median weight.

(c) Find the mode.

(d) Are there any outliers?

Answer 1

Mean=

Median is the middle observation.

We first put the values in increasing order and then find the middle observation.

So the 13th observation is the middle one, which is 123.

Hence Median = 123

A mode is an observation which has the highest frequency, that is which comes more frequently.

Here we can see only 127 comes twice, so 127 is the mode.

d)

The figure above shows no outliers in the data set. Outliers can be seen as dots or stars outside the whiskers of this boxplot.