Question

question 4 2 pts a classroom of students has their heights measured (in inches) for statistics investigation. the tallest student in the class is 71 inches tall. one student is assigned to record all the values. that student made a mistake when recording one of the values. when they meant to record the 71, they accidentally entered 711. what is the affect of this mistake on the median and iqr? the median and iqr will be increased by the mistake. the median and iqr will be decreased by the mistake. the median and iqr will be unaffected by the mistake.

Explanation:

Step1: Recall median and IQR concepts

Median is middle - value, IQR = Q3 - Q1.

Step2: Analyze effect of outlier

Increasing the largest value (from 71 to 711) doesn't affect median if number of data points is odd and the position of middle - value remains the same. Also, Q1 and Q3 are based on position of data points in ordered set, so IQR is not affected by a single extreme value at the end.

Answer:

The median and IQR will be unaffected by the mistake.