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 inter - quartile range concept

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), $IQR = Q_3 - Q_1$. It represents the spread of the middle 50% of the data. A smaller IQR indicates less variability.

Step2: Analyze box - plots

For the French box - plot, the box (which represents the IQR) is shorter compared to the Spanish box - plot. This means the inter - quartile range is less for French scores, indicating less variability in French scores.

Answer:

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