which measure is most appropriate to describe the center of the data in the stem - and - leaf plot below…

which measure is most appropriate to describe the center of the data in the stem - and - leaf plot below? pounds of food collected 0 | 5 6 1 | 0 2 3 3 4 2 | 1 9 3 | 4 | 2 5 | 1 interquartile range median

which measure is most appropriate to describe the center of the data in the stem - and - leaf plot below? pounds of food collected 0 | 5 6 1 | 0 2 3 3 4 2 | 1 9 3 | 4 | 2 5 | 1 interquartile range median

Answer

Explanation:

Step1: Recall measure - types

Inter - quartile range is a measure of spread, not center. Mean is affected by outliers. Median is the middle value and is robust to outliers.

Step2: Check for outliers

The data set is 5, 6, 10, 12, 13, 13, 14, 21, 29, 42, 51. The value 42 and 51 are relatively large compared to others, so there are outliers.

Step3: Select the appropriate measure

Since there are outliers, median is the most appropriate measure to describe the center of the data.

Answer:

median