Question

A baker recorded the number of batches of

cookies he made on each of seven days. He

baked a different number of batches of cookies

each day. This box-and-whisker plot

summarizes his data.

Number of Cookies

+

9 10 11 12 13 14 15

1 2

3

4

5

6

7

8

The baker baked 20 batches of cookies on the

eighth day. He redraws the box-and-whisker plot

to include his data. Which statement comparing

the new box-and-whisker plot to the original box-

and-whisker plot is NOT true?

A. The median increased.

B. The lower extreme increased.

C. The upper extreme increased.

D. The value of the interquartile range

increased

Answer 1

B. The lower extreme increased.

Explanation:

From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.

The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.

The lower extreme isn't affected as the obtained value isn't below 5.

The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase