Answer:
<u>The correct answer is A. 45.2</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Number of trees of the sample = 31
Number of trees of the sample with a height between 60 and 65 feet tall height = 3
Number of trees of the sample with a height between 65 and 70 feet tall height = 3
Number of trees of the sample with a height between 70 and 75 feet tall height = 8
Number of trees of the sample with a height between 75 and 80 feet tall height = 10
Number of trees of the sample with a height between 80 and 85 feet tall height = 5
Number of trees of the sample with a height between 85 and 90 feet tall height = 2
<u>2. Let's calculate the percentage of the trees that are less than 75 feet tall:</u>
Percentage of the trees less than 75 feet tall = [(Number of trees of the sample with a height between 60 and 65 feet tall + Number of trees of the sample with a height between 65 and 70 feet tall + Number of trees of the sample with a height between 70 and 75 feet tall)/Number of the trees of the sample] * 100
Replacing with the real values, we have:
Percentage of the trees less than 75 feet tall = [(3 + 3 + 8)/31] * 100
Percentage of the trees less than 75 feet tall = [(14)/31] * 100
Percentage of the trees less than 75 feet tall = 0.451613 * 100
<u>Percentage of the trees less than 75 feet tall = 45.1613% = 45.2% (Rounding to one decimal place)</u>
<u>The correct answer is A. 45.2</u>
