8.

The following boxplots show the distribution of restaurant inspection scores (first inspection in the year) for the years 2017-2019, and January- August 2020.

You have been recently hired as the health commissioner for the city of Austin. You have received emails from 3 restaurant owners claiming the inspections have been made with inconsistent criteria for the years 2017 -2020. Is there evidence in these data of systematic inconsistency across the years?

a. Yes, because the median score in 2018 was substantially lower than the median score in the other three years.

b. Yes, because the restaurant scores are not (approximately) normally distributed in any of the years.

c. No, because in each of the four years, some restaurants received perfect inspection scores of 100.

d. No, because the distributions over the four years are generally similar in terms of shape, median values and the interquartile ranges (25th - 75th percentiles)