Question

The histogram shows the number of hours volunteers worked one week.

What percent of the volunteers worked 8 to 11 hours or 16 to 19 hours?

Enter your answer in the box.


%

A histogram titled Volunteer hours with the vertical axis titled Number of volunteers ranging from 0 to 10 in increments of 1. The horizontal X axis titled Hours worked ranges from 0 to 23 in increments of 3. Bin width 0 to 3 is 4. Bin width 4 to 7 is 2. Bin width 8 to 11 is 5. Bin width 12 to 15 is 4. Bin width 16 to 19 is 4. Bin width 20 to 23 is 1.

Answer 1

To calculate the percentage of volunteers who worked between 8 to 11 hours and 16 to 19 hours, we'll first find the total number of volunteers and then the number of volunteers in these two bins.

From the histogram data you provided:

- For the bin from 8 to 11 hours, there are 5 volunteers.
- For the bin from 16 to 19 hours, there are 4 volunteers.

Now, let's find the total number of volunteers:

- Bin 0 to 3 hours: 4 volunteers
- Bin 4 to 7 hours: 2 volunteers
- Bin 8 to 11 hours: 5 volunteers
- Bin 12 to 15 hours: 4 volunteers
- Bin 16 to 19 hours: 4 volunteers
- Bin 20 to 23 hours: 1 volunteer

Now, summing these values:

\[
4 + 2 + 5 + 4 + 4 + 1 = 20 \text{ total volunteers}
\]

Next, we calculate the number of volunteers who worked 8 to 11 hours and 16 to 19 hours:

\[
5 + 4 = 9 \text{ volunteers in those time ranges}
\]

Now, we express this as a percentage of the total number of volunteers:

\[
\text{Percentage} = \left( \frac{9}{20} \right) \times 100 = 45\%
\]

So the answer is:

**45%**