Question

2. A pet food company wants to know the number of pets owned by adults ages 21 to 70. The frequency table shows the data from a simple random sample of the targeted population.

Total pets owned 1 2 3 4 5 6 7
Number of adults 248 567 1402 728 419 456 203

What is the estimated mean for the population? Explain your answer and show your work.

Answer 1

3.6669

Explanation:

Given is a frequency distribution and we are expected to find the mean of the distribution.

Let X be the no of total pets owned and f be the number of adults owning those pets.

Total

x 1 2 3 4 5 6 7

F 248 567 1402 728 419 456 203 4023

x*f 248 1134 4206 2912 2095 2736 1421 14752

Mean 3.666915237

Thus we find the total of all frequencies and then sum of product of x*f.

Mean = sum of f*x/sum of x

Here mean= 3.6669