One day, a pet supply store selected every 20th person on a customer list and asked each how many dogs he or she had at home. Ten persons were asked in all.

Question

Number of dogs at home: 2, 1, 3, 2, 2, 1, 4, 0, 1, 4

What is an estimate of the mean number of dogs in a customer’s home?

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dogs

Answer 1

To calculate the mean number of dogs in a customer's home based on the data given, we first sum the number of dogs reported and then divide by the total number of respondents.

The number of dogs reported by the 10 persons is: 2, 1, 3, 2, 2, 1, 4, 0, 1, 4

Now, we calculate the sum: \( 2 + 1 + 3 + 2 + 2 + 1 + 4 + 0 + 1 + 4 = 20 \)

Next, we divide the total sum by the number of respondents (which is 10): \[ \text{Mean} = \frac{\text{Total Sum}}{\text{Number of Respondents}} = \frac{20}{10} = 2 \]

Thus, the estimated mean number of dogs in a customer’s home is: 2 dogs