Question

Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.

A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.

The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?

A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.

Answer 1

Let's see if we can recreate the histogram from the description.

Time count

0.5 0

1 0

1.5 2

2 1

2.5 3

3 1

3.5 2

4 1

4.5 0

5 0

The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.

For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.

Answer: B the mean will decrease

Answer 2

B

Explanation:

This is because the mean will decrease