ms. redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest…

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. monologue times the next student presents a monologue that is about 0.5 minutes long. what effect will this have on the graph? the median will decrease. the mean will decrease. the median will increase. the mean will increase. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 number of minutes

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. monologue times the next student presents a monologue that is about 0.5 minutes long. what effect will this have on the graph? the median will decrease. the mean will decrease. the median will increase. the mean will increase. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 number of minutes

Answer

Answer:

The mean will decrease.

Explanation:

Step1: Recall mean and median concepts

Mean is sum of values/number of values. Median is middle - value.

Step2: Analyze the data set

Original data set has 10 values. New data set has 11 values (with new 0.5 - minute monologue).

Step3: Consider the impact on median

For 10 values, median is average of 5th and 6th ordered values. For 11 values, median is 6th ordered value. Since new value is small, it may not change median much or at all.

Step4: Consider the impact on mean

The new value (0.5 minutes) is likely smaller than the original mean. Adding a smaller - than - mean value to the data set will decrease the sum/number of values (the mean).