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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

Respuesta :

Answer:

Mean=1.4

Median=1

Mode=0

Step-by-step 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,

[tex]Mean=\dfrac{0\times 15+1\times 10+2\times 6+3\times 4+4\times 3+5\times 2}{40}\\\\Mean=\dfrac{0+10+12+12+12+10}{40}\\\\Mean=\dfrac{56}{40}\\\\Mean=1.4[/tex]

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

zayquannaha

Answer:

D : 1.4,1,0

Step-by-step explanation:

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