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.

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.

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 situation

Original data has 10 values. New value (0.5) is smaller than most of original values.

Step3: Consider effect on mean

Adding a smaller value to sum and increasing count will decrease mean.

Step4: Consider effect on median

For 10 values, median is average of 5th and 6th ordered values. Adding 0.5 may not change middle - two values' average, so median may not change. So mean will decrease.