Chapter 13.4, Problem 18STP

To determine

The false statement regarding the box-and-whisker plot.

Answer to Problem 18STP

The answer is: D.

Explanation of Solution

Given:

This is the given information:

The quiz scores for 25 students. $\{3,3,4,4,5,5,5,5,5,5,6,6,6,6,7,8,8,9,9,9,10,10,11,11,16\}$

Asterisks are used to indicate outliers. Since, asterisks are used for score 16, this is essentially an outlier. Therefore, option A is correct. Median divides the box into two parts. Therefore, median is located at 6. Thus, option C is also correct. Note, that box and whisker plot separate the data into four parts excluding outlier. The distance between minimum and lower quartile comprise 25%, lower quartile to median comprises 25%, median to upper quartile comprises 25% and upper quartile to maximum comprises 25%. Based on this information, 75% of data is less than or equal to 9. Thus, option B is also correct. Based on the same information it seems that 50% of scores lie between 6 and 11 and 50% of scores lie between 3 and 6. Thus, option D is not correct.

Therefore, the answer is: D.