Question

the graph shows the number of minutes, to the nearest five minutes, that sarah spent getting ready for school each morning. minutes per day getting ready today, she wakes up late and gets ready for school in 15 minutes. if this new point is added to the graph, which statement is true? the mean will decrease, and the median will stay the same. the median will decrease, and the mean will stay the same. the mean will decrease more than the median, but both will decrease. the median will decrease more than the mean, but both will decrease.

Explanation:

Step1: Recall mean and median concepts

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

Step2: Analyze the effect on mean

The new value (15) is less than most of the existing values. Adding a lower - value will decrease the sum of all values and thus decrease the mean.

Step3: Analyze the effect on median

If the number of data points is odd, the median is the middle value. If it is even, the median is the average of the two middle values. Since the new value is an out - lier on the lower side and we don't know the exact number of data points, but generally for a relatively large data set, adding one low value may not change the position of the middle value(s) much. So the median may stay the same.

Answer:

The mean will decrease, and the median will stay the same.