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Jerra surveys 150 people about how many movies they have seen in the theater in the past year. A sample of 15 responses is shown.

Number of Movies

12

9

16

9

10

11

10

14

4

2

4

0

12

1

6



Estimate the population mean.

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1 answer

To estimate the population mean from the provided sample responses, we can calculate the mean of the sample data.

Here are the sample responses:

12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6

  1. First, we sum all the responses: \[ 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 7 9 + 4 = 126 \]

  2. Next, we count the number of responses: There are 15 responses.

  3. Now we calculate the mean: \[ \text{Mean} = \frac{\text{Sum of the responses}}{\text{Number of responses}} = \frac{126}{15} \]

  4. Performing the division: \[ \frac{126}{15} = 8.4 \]

So, the estimated population mean is 8.4.