Question

Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9

Answer 1

The fourth option is the answer. When graphed, Min is 2, Q1 is 3, Median is 7, Q3 is 11, and Max is 24. The fourth option is the one that follow all of those!

Answer 2

(D)

Explanation:

The given data set is:

10, 12, 2, 4, 24, 2, 7, 7, 9

Firstly arrange the given data set in ascending order, we get

2, 2, 4, 7, 7, 9, 10, 12, 24

Now, the median of the above given data set is:

`Median=7`

The upper quartile is:

9, 10, 12, 24

thus,
`LQ=(10+12)/(2)=(22)/(2)=11`

The lower quartile is:

2, 2, 4, 7

thus,
`LQ=(2+4)/(2)=3`

The highest value of the given data set is 24 and the lowest value is 2.

Therefore, option D is correct.