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16 December, 18:20

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.

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  1. 16 December, 19:16
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    3.6669

    Step-by-step 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
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