Question

devonte inferred that his french scores have less variability than his spanish scores. which explains whether devontes inference is correct? devonte is correct because the range is greater for french. devonte is correct because the interquartile range is less for french. devonte is not correct because his highest grade is in spanish. devonte is not correct because the interquartile range is less for spanish.

Explanation:

Step1: Recall variability measures

Variability can be measured by range or inter - quartile range. Smaller values of these measures indicate less variability.

Step2: Analyze inter - quartile range

The inter - quartile range (IQR) is the length of the box in a box - and - whisker plot. For French, the box is shorter than for Spanish, which means the IQR for French is less than that for Spanish. A smaller IQR implies less variability.

Step3: Analyze range

We are not given enough information to accurately calculate the range from the box - and - whisker plots, but the IQR is a more robust measure of variability than the range.

Answer:

Devonte is correct because the interquartile range is less for French.