Question

mr. burns measured the heights of 16 apple trees in his orchard. the results are shown in the dot plot. which statement about the data is true?
heights of apple trees
height (feet)

1. there are no clusters of data on the dot plot, so there are an equal number of trees at each height.
2. there is a cluster of data from 19 to 21, so most trees are about 19 feet to 21 feet tall.
3. data are clustered to the left of 20, so most trees must be less than 20 feet tall.
4. data are clustered to the right of 20, so most trees must be more than 20 feet tall.

Explanation:

Step1: Count trees per height

15:1, 17:1, 19:4, 20:5, 21:3, 23:1

Step2: Identify data clusters

Clustered at 19,20,21 (total 4+5+3=12 trees)

Step3: Evaluate each statement

• 1st: False (unequal counts per height)
• 2nd: True (12 of 16 trees in 19-21)
• 3rd: False (only 6 trees <20)
• 4th: False (only 9 trees >20, <12 total)

Answer:

B. There is a cluster of data from 19 to 21, so most trees are about 19 feet to 21 feet tall.