A researcher in a city took a sample of 81 families in a nei

A researcher in a city took a sample of 81 families in a neighborhood. One of the questions on the survey was the number of children in the household. The results of the survey are listed below Number of children # of families 20 24 18 81 Compute the Mean, Median, and Mode family size.

Solution

Answer 1

Mean= x=x/N

x=81/6

Mean=13.5

Answer 2

The median is the middle value, so to rewrite the list in order:

1,7,11,18,20,24

Median=(N/2)th term + (N/2 + 1)th term / 2

=(6/2) + (6/2 + 1) /2

= (3)th term + (4) th term /2

= (7) th term / 2

= 3.5 th term

= so we take 4th term as median

= 4th term, so the median is 18

Answer 3

The Mode

The mode is the most frequently occuring score or value.

Mode = 24

  

Number of children	# no of families
0	11
1	20
2	24
3	18
4	7
5	1
N=6	81