Question

The box plots show Devonte’s scores in Spanish and in French. Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s 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.

Answer 1

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

Explanation:

The scoring range indicates the deviance from the standard values. It can only be inferred that the interquartile range is very narrow. In other words, there is less variability in the scores. Thus, a smaller quartile range means that there is less variability in the quantity being measured. The interqurtile range is the difference in the values of the the 75th percentile and the 25th percentile of a cumulative frequency distribution curve.

Answer 2

Devonte is correct because the interquartile range is less for French

Explanation:

The first box plot at the top shows scores in Spanish, while the second box plot below it shows French scores.

Variability can be ascertain by finding out the interquartile range of a data set.

The higher the value of the IQR, the more the variability, while the lower the IQR, the less the variability.

IQR = Q3 - Q1

IQR for Spanish score = 85 - 60 = 25

IQR for French score = 80 - 65 = 20

From the above, we can say that Spanish scores has more variability when compared to French scores.

Therefore, Devonte is correct because the interquartile range is less for French, which shows that the variability in French scores is lesser than that of Devonte's Spanish scores.