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: Understand 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 new data point

The original data points seem to be mostly in the 30 - 55 range. The new data point is 15, which is a lower value.

Step3: Effect on the mean

Adding a lower value to the data set will decrease the sum of all values relative to the number of values, thus the mean will decrease.

Step4: Effect on the 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 two middle values. Since the new value is lower, and depending on the original number of data points, if we order the data with the new point included, the position of the middle value(s) may or may not change significantly. In many cases with a relatively large data - set, adding one very low value may not change the median. Here, the median will likely stay the same.

Answer:

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