The freethrow percentages for the participants of a basketball tournament were compiled.The percents ranged from 39% to 99% with a mean of 50% and a standard deviation of 5%.The quartiles and median percentages were 49%,87%,and 50%.Suppose one participant did not make any of his attempted freethrows (0%).Which of the summary statistics might not change if that data value was added to the distribution?
A)Q1,Q3
B)Mean,IQR
C)Median,IQR
D)Range,SD
E)Median,range

Question

Quizplus · Accepted Answer

The median and IQR only depend on the order and range of the data, not on the actual values in the data set. Adding a 0% value to the distribution will not affect the position of the median or the calculation of the IQR. The other summary statistics, such as mean, range, and standard deviation, are affected by the actual values in the data set and will change with the addition of a new data point.

The Freethrow Percentages for the Participants of a Basketball Tournament