Question

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.

Answer 1

To estimate the population mean based on the sample provided, you can calculate the sample mean. The sample mean is found by summing all the values in the sample and then dividing by the number of values.

**Given responses:**
- 12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6

**Step 1: Compute the sum of the sample values.**

\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 = 21\\
21 + 16 = 37\\
37 + 9 = 46\\
46 + 10 = 56\\
56 + 11 = 67\\
67 + 10 = 77\\
77 + 14 = 91\\
91 + 4 = 95\\
95 + 2 = 97\\
97 + 4 = 101\\
101 + 0 = 101\\
101 + 12 = 113\\
113 + 1 = 114\\
114 + 6 = 120
\]

The total sum is **120.**

**Step 2: Count the number of samples.**

In this case, there are **15 responses.**

**Step 3: Calculate the sample mean.**

\[
\text{Sample Mean} = \frac{\text{Sum of Responses}}{\text{Number of Responses}} = \frac{120}{15} = 8
\]

So, the estimated population mean is **8**.