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

Explanation:

Step1: Recall mean and median concepts

Mean is the sum of all values divided by number of values. Median is middle - value when data is ordered.

Step2: Analyze effect on mean

The existing data points seem to be mostly around 2 - 4 minutes. A new value of 0.5 minutes is much lower than most of the existing values. When we add this new, lower value to the data - set and recalculate the mean (sum of all values/number of values), the sum of values will decrease relative to the number of values, causing the mean to decrease.

Step3: Analyze effect on median

There are currently 10 data points. The median is the average of the 5th and 6th ordered values. Adding one more data point (11 data points in total), the median will be the 6th ordered value. Since the new value (0.5 minutes) is likely to be one of the lower values in the ordered data - set, it may not change the position of the 6th value (if the original 5th and 6th values were relatively large compared to 0.5), so the median may not change or may change minimally.

Answer:

The mean will decrease.