Question

question 1 of 5
select all the correct answers.
which data sets could be used to create the box plot below?
4, 11, 8, 12, 1, 6, 14
7, 9, 11, 1, 6, 7, 14, 8
6, 8, 11, 1, 7, 14, 10
14, 10, 6, 9, 11, 8, 1
10, 6, 9, 14, 1, 6, 12, 7

Explanation:

Step1: Identify box - plot features

The box - plot shows a minimum value around 1, Q1 around 6, median around 8 - 9, Q3 around 11, and maximum around 14.

Step2: Analyze each data set

For 4, 11, 8, 12, 1, 6, 14

Sort: 1, 4, 6, 8, 11, 12, 14. Minimum = 1, Q1 (25th percentile) is 4, median (50th percentile) is 8, Q3 (75th percentile) is 11, maximum = 14. This data set could be used.

For 7, 9, 11, 1, 6, 7, 14, 8

Sort: 1, 6, 7, 7, 8, 9, 11, 14. Minimum = 1, Q1 is 6.5, median is 7.5, Q3 is 10, maximum = 14. This data set could not be used.

For 6, 8, 11, 1, 7, 14, 10

Sort: 1, 6, 7, 8, 10, 11, 14. Minimum = 1, Q1 is 6.5, median is 8, Q3 is 10.5, maximum = 14. This data set could be used.

For 14, 10, 6, 9, 11, 8, 1

Sort: 1, 6, 8, 9, 10, 11, 14. Minimum = 1, Q1 is 6.5, median is 9, Q3 is 10.5, maximum = 14. This data set could be used.

For 10, 6, 9, 14, 1, 6, 12, 7

Sort: 1, 6, 6, 7, 9, 10, 12, 14. Minimum = 1, Q1 is 6, median is 8, Q3 is 11, maximum = 14. This data set could be used.

Answer:

4, 11, 8, 12, 1, 6, 14; 6, 8, 11, 1, 7, 14, 10; 14, 10, 6, 9, 11, 8, 1; 10, 6, 9, 14, 1, 6, 12, 7