Questions: Statistics: Representing Data The distribution of the heights in feet of black cherry trees is shown in the histogram below. 1. How many trees are in the data set? 2. What percentage of the trees have a height less than 65 feet? (Round your answer to 2 decimal places.) % 3. What percentage of the trees have a height between 65 and 80 feet? (Round your answer to 2 decimal places.)

Statistics: Representing Data The distribution of the heights in feet of black cherry trees is shown in the histogram below. 1. How many trees are in the data set? 2. What percentage of the trees have a height less than 65 feet? (Round your answer to 2 decimal places.) % 3. What percentage of the trees have a height between 65 and 80 feet? (Round your answer to 2 decimal places.)
Transcript text: Statistics: Representing Data The distribution of the heights in feet of black cherry trees is shown in the histogram below. 1. How many trees are in the data set? $\square$ 2. What percentage of the trees have a height less than 65 feet? (Round your answer to 2 decimal places.) $\square$ \% 3. What percentage of the trees have a height between 65 and 80 feet? (Round your answer to 2 decimal places.) $\square$
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Solution

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Solution Steps

Step 1: Calculate the total number of trees.

Add the frequencies for each interval in the histogram: 1 + 3 + 7 + 8 + 5 = 24 trees.

Step 2: Calculate the percentage of trees less than 65 feet.

The number of trees less than 65 feet are the trees between 55 and 60 feet and the trees between 60 and 65 feet. The corresponding frequencies are 1 and 3. So, the number of trees less than 65 feet are 1 + 3 = 4 trees. The percentage of trees less than 65 feet is (4/24) * 100% = 16.67%.

Step 3: Calculate the percentage of trees between 65 and 80 feet.

The frequencies between 65 and 80 feet are 7, 8, and 5. Summing these frequencies, 7 + 8 + 5 = 20. The percentage is calculated as (20/24) * 100% = 83.33%.

Final Answer:

  1. 24
  2. 16.67%
  3. 83.33%
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