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.
1 answer:
Answer:
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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