Question

Forty people were randomly sampled and surveyed as to the number of pets in their household. The results are listed below.

1
1
0
4
1
0
1
2
3
5
2
0
2
0
3
1
2
0
0
1
0
4
0
0
3
1
0
0
2
1
0
0
4
0
1
3
5
0
2
1

What is the mean, median, and mode of the household pet data?
a.
1.4, 2, 1
c.
1.5, 1, 0
b.
1.5, 2, 1
d.
1.4, 1, 0

Answer 1

D : 1.4,1,0

Explanation:

Answer 2

Mean=1.4

Median=1

Mode=0

Explanation:

We will make the frequency table based on our data as:

Number of Pets Frequency

0 15

1 10

2 6

3 4

4 3

5 2

Hence, the mean of the data is calculated as the ratio of sum of all the data point to the number of data points.

Hence,

`Mean=(0* 15+1* 10+2* 6+3* 4+4* 3+5* 2)/(40)\\\\Mean=(0+10+12+12+12+10)/(40)\\\\Mean=(56)/(40)\\\\Mean=1.4`

Hence, Mean=1.4

Now the median is calculated as cumulative frequency.

Number of Pets Frequency

0 15 15

1 10 15+10=25

2 6 25+6=31

3 4 31+4=35

4 3 35+3=38

5 2 38+2=40

i.e. N=40

N/2=40/2=20

Hence, the value that lies in this range is: 25

Hence, Median=1

Also mode is the value corresponding to highest frequency.

Hence, Mode=0