the graph shows the number of minutes, to the nearest five minutes, that sarah spent getting ready for…

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.

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.

Answer

Answer:

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

Explanation:

Step1: Understand mean and median

Mean is sum of values/number of values. Median is middle - value.

Step2: Analyze the data set

Original data set has some values. Adding 15 (a value less than most of data) will lower sum for mean calculation.

Step3: Consider median

If number of data - points is odd, median is middle value; if even, average of two middle values. Adding 15 doesn't change middle - value position as long as number of data - points is large enough compared to new value's position. So median stays same while mean decreases.