To determine the average number of pools sold per month by the Allied Pool company over a six-month period, follow these steps:
1. Identify the sales data for each month:
- February: 11 pools
- March: 10 pools
- April: 12 pools
- May: 16 pools
- June: 15 pools
- July: 18 pools
2. Sum the total number of pools sold over the six months:
[tex]\[
11 + 10 + 12 + 16 + 15 + 18 = 82 \text{ pools}
\][/tex]
3. Count the number of months during which pools were sold:
There are 6 months in the period from February to July.
4. Calculate the average number of pools sold per month:
[tex]\[
\text{Average} = \frac{\text{Total number of pools sold}}{\text{Number of months}} = \frac{82}{6} \approx 13.666666666666666
\][/tex]
5. Round the average to the nearest tenth:
[tex]\[
13.666666666666666 \text{ rounded to the nearest tenth is } 13.7
\][/tex]
Thus, the average number of pools sold per month during this period, rounded to the nearest tenth, is 13.7 pools.
Therefore, the correct answer is:
[tex]\[
\boxed{13.7 \text{ pools}}
\][/tex]