Question

Measures of Center & Outliers

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.

Answer:

(b) Find the median weight.

Answer:

(c) Find the mode.

Answer:

(d) Are there any outliers?

Answer: Select an answerYesNo

Answer 1

a) Add the values and divide by 25 gives

mean weight

b) Arrange the data in ascending order we find the middle value in the data as 123

So, Median is 123

c) A value which appears more than any other one is 127

So, Mode is 127

d) In the data first quartile is 104, as the 7-data term is 104, and the third quartile is 143 the 19th data value

Hence the interquartile range is

Now     and

As no data value lies outside (45.5, 201.5)

There are no outliers

a) Add the values and divide by 25 gives

mean weight  

b)