Question

Seventy-two families were asked how many pets they have with the following results. Find the Mean, Median, and Mode of the data set. Show your work for the Mean. MEAN: (Show your work.) MEDIAN: (Show your work.) MODE:

Number of pets	Number of families
0	10
1	20
2	22
3	12
4	6
5	2
Total	72

Answer 1

Solution-a

Number of pets(x)	Number of families(f)	fx
0	10	0
1	20	20
2	22	44
3	12	36
4	6	24
5	2	10
	total	134

Mean= $\sum fx/\sum f$

=134/72

=1.8611

Solution-b:

Number of pets(x)	Number of families(f)	Cumulative frequency
0	10	10
1	20	30
2	22	52	n/2=72/2=36
3	12	64
4	6	70
5	2	72
Total	72

median is n/2 th item

=36 th item

From cumulative frequency ,36 th item is 2

median=2

Solution-c

:

mode is highest frequency

Here highest frequency is 22

so mode is 2

mode =2