Question

7.

The data represent the number of cans collected by different classes for a service
project.
12
14
22
14
18
23
42
13
9
19
22
14
a.
Find the mean.
b.
Find the median.
C.
Eliminate the greatest value, 42, from the data set. Explain how the measures of
center change.

Answer 1

a)18.5 b)16 c)14

Explanation:

a) Total number of classes: 12

9,12,13,14,14,14,18,19,22,22,23,42 (arrange in ascending order)

mean=
`(Total numbers of cans)/(Total numbers of classes)`=
`((9+12+13+14+14+14+18+19+22+22+23+42))/(14)`=
`(222)/(12)`=18.5

b) median=
`(14+18)/(2)`=16

c) 9,12,13,14,14,14,18,19,22,22,23

The center will change to 14 as the total number of classes decrease by 1.