Question

On a piece of paper, draw a box plot to represent the data below. Then determine which answer choice matches the box plot you drew. 11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38. PLEASE HELP ME DETERMINE WHICH BOX PLOT IS CORRECT!

Answer 1

The whisker box-plot that represents this data is:

Option: C

Explanation:

We have the set of data points as:

11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38

From these data points we could observe that the:

Minimum value of whisker-box plot is: 11

Maximum value of whisker-box plot is: 38

The median is the central tendency of the data and the middle line in the box-plot represents the median.

Hence, here we have:

Median i.e.
`Q_2`=19

Also, we know that the minimum value of the box represents the lower quartile and it is the median of the lower set of the data and is:

Also lower set of data is:

11, 12, 15, 16, 17

and the middle value of data is: 15

Hence,

Lower quartile i.e.
`Q_1`=15

Similarly,

the minimum value of the box represents the upper quartile and it is the median of the upper set of the data.

The upper set of data is:

22,24,29,33,38

and median of the uppers set of data is 29.

Hence,

Upper quartile i..e
`Q_3`=29.

Option: C is the correct answer.