A local ice cream shop hand scoops each of its ice cream cones.The cones vary in weight from 126 grams to 291 grams with a mean of 181 grams and a standard deviation of 34 grams.The quartiles and median weights are 157,255,and 202 ounces.A customer makes a special order of a 448 ounce cone. Which of the summary statistics might not change if that data value was added to the distribution?

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

Question

Pembroke Brave · Accepted Answer

Final Answer : E, Explanation :  Adding a value far from the existing data set, like the 448 ounce cone, will affect the mean and standard deviation due to their sensitivity to extreme values. However, the median and interquartile range (IQR), which are measures of central tendency and spread that are resistant to outliers, are unlikely to change. The median remains the middle value, and the IQR, the range between the first and third quartiles, would not be affected by a single extreme value.

Definitions

Learning Objectives

Learning Objectives

Related questions