marie made the box plot below to display a set of data. which set of data could the box plot represent? 0…

marie made the box plot below to display a set of data. which set of data could the box plot represent? 0, 5, 10, 15, 25, 35, 40 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40 5, 10, 15, 20, 25, 30, 35

marie made the box plot below to display a set of data. which set of data could the box plot represent? 0, 5, 10, 15, 25, 35, 40 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40 5, 10, 15, 20, 25, 30, 35

Answer

Answer:

B. 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Explanation:

Step1: Identify box - plot features

The box - plot has minimum around 5, Q1 around 10, median around 15, Q3 around 25 and maximum around 35.

Step2: Analyze option A

For 0, 5, 10, 15, 25, 35, 40, minimum is 0 which doesn't match box - plot start.

Step3: Analyze option B

For 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, minimum is 5, Q1 (25th percentile) is close to 10, median (50th percentile) is close to 15, Q3 (75th percentile) is close to 25 and maximum is 35 which matches the box - plot.

Step4: Analyze option C

For 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40, minimum is 0 which doesn't match box - plot start.

Step5: Analyze option D

For 5, 10, 15, 20, 25, 30, 35, the distribution of values within the quartiles doesn't match the box - plot's relative lengths of segments.