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 the mean

The original data points are all greater than 15. Adding a value (15) that is less than the original values will decrease the sum of all values relative to the number of values, thus decreasing the mean.

Step3: Analyze the effect on the median

The number of data - points is odd originally. When we add a new data - point, the number of data - points becomes even. But since 15 is much smaller than most of the original data points, the middle - two values (when ordered) of the new data set will still be from the original larger values. So the median will stay the same.

Answer:

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