Question

which measure of center is sensitive to extreme values?
median
mode
midrange
which measure of center is resistant to extreme values?
mean
median
mode
midrange
which measure of dispersion is sensitive to extreme values?
iqr
standard deviation
which measure of dispersion is resistant to extreme values?
iqr
standard deviation

Explanation:

First Question: Which measure of center is sensitive to extreme values?

The mean (average) is calculated as the sum of all values divided by the number of values. Extreme values (outliers) can significantly pull the mean up or down because it uses all data points in its calculation. The median is the middle value, mode is the most frequent value, and midrange is the average of the maximum and minimum; these are less affected by extremes compared to the mean.

The median is the middle value when data is ordered. It only depends on the middle (or middle two) values, so extreme values at the ends of the data set do not change the median much. The mean is sensitive, mode depends on frequency (not resistant in the same way), and midrange uses min and max (sensitive to extremes).

Standard Deviation is calculated using the mean and squared differences from all data points. Extreme values (outliers) have large squared differences, so they increase the standard deviation. The Interquartile Range (IQR) is based on the middle 50% of data (Q3 - Q1) and ignores the extremes, so it's resistant.

Answer:

mean (assuming the first option was mean, as the first option's text is partially cut but contextually it's mean for this question type)

Second Question: Which measure of center is resistant to extreme values?