Question

activity 7.4.1 - making inferences from sample surveys
answer the following questions. make sure to show all steps on how you got your answer.

1. students in a class were asked how many pets they had at home. their answers are given below.

0,0,0,0,2,2,2,2,3,3,4,5,6,6,6,6,7,7,7,7,7,8,8,8,8
refer to the data above. what was the population mean of the number of pets living in the students homes according to the pet survey? (4 points)

Explanation:

Step1: Find the sum of the data.

$0\times4 + 2\times4+3\times2 + 4\times1+5\times1+6\times4+7\times5+8\times4$
$=0 + 8+6 + 4+5+24+35+32$
$=114$

Step2: Find the number of data points.

$4 + 4+2+1+1+4+5+4=25$

Step3: Calculate the mean.

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}=\frac{114}{25} = 4.56$

Answer:

$4.56$