Question

the line plot shows the number of miles lisa ran each week.
miles ran each week
what would be the appropriate measure of the spread of the distribution shown?
mean absolute deviation
inter quartile range

Explanation:

Analyze the distribution shape

Using the Symmetric Distribution knowledge point
The line plot shows a bell-shaped, symmetric distribution centered at 31, with no extreme outliers.

Determine the appropriate measure of spread

Using the Measures of Spread knowledge point
For symmetric distributions without outliers, mean-based measures of spread like mean absolute deviation or standard deviation are most appropriate.

Compare the given options

Using the Measures of Spread knowledge point
Mean absolute deviation is preferred here over interquartile range, which is typically reserved for skewed distributions.

Answer:

• Mean absolute deviation (Correct answer)
• Inter quartile range