Question

a coffee company surveyed 40 potential customers to see where they would like the company's new organic coffee sold. respondents were given the following four locations and asked to choose as many as they liked: grocery stores, drugstores, health food stores, and big box stores. the results are summarized in the bar graph below, with the number of time each location was chosen noted above the corresponding bar.

20 = grocery stores
14 = drugstores
10 = health food stores
16 = big box stores

what was the average number of locations chosen per potential customer?

4
1.5
2
2.5

Answer 1

To find the average number of locations chosen per potential customer, we will first calculate the total number of choices made by all respondents.

From the survey results:
- Grocery stores were chosen 20 times.
- Drugstores were chosen 14 times.
- Health food stores were chosen 10 times.
- Big box stores were chosen 16 times.

Now, we add these numbers together to get the total number of choices:

\[
20 + 14 + 10 + 16 = 70
\]

Next, we divide the total number of choices by the number of respondents (40 potential customers) to find the average number of locations chosen per customer:

\[
\text{Average} = \frac{\text{Total choices}}{\text{Number of respondents}} = \frac{70}{40} = 1.75
\]

The question asks what the average number of locations chosen is, and among the options given (4, 1.5, 2, 2.5), the closest option is:

**1.5**.

(Note: 1.75 is not exactly in the given options, but the closest lower option is 1.5.)