The free throw percentages for participants in a basketball tournament were compiled.The percents ranged from 31% to 91% with a mean of 63% and a standard deviation of 6%.The quartiles and median percentages were 41%,79%,and 63%.Suppose one participant did not make any of his attempted free throws (0%) .Which of the summary statistics might not change if that data value was added to the distribution?

A) Median,range
B) Q1,Q3
C) Range,SD
D) Mean,IQR
E) Median,IQR

Question

Shelby Smith · Accepted Answer

Final Answer : E, Explanation :  Adding a value of 0% would lower the minimum value of the dataset, affecting the range and potentially the mean and standard deviation. However, the median and interquartile range (IQR), which are measures of central tendency and spread that are not influenced by extreme values, would remain unchanged. The median is the middle value when data is ordered, and the IQR is the range between the first and third quartiles, neither of which would be affected by the addition of a new minimum value outside the existing range.

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