Shown below are the boxplot and the histogram for the highest temperatures ever recorded (in °F)in 32 different states in the U.S.A.
i)What features of the distribution can you see in both the histogram and the boxplot?
ii)What features of the distribution can you see in the histogram that you could not see in the boxplot?
A)i)The distribution is highly skewed to the right,with two outliers at 128°F and 134°F.Most high temperatures are between 105°F and 129°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.
B)i)The distribution is highly skewed to the left,with an outlier at 134°F.Most high temperatures are between 108°F and 130°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.
C)i)The distribution is fairly symmetric,with no outliers.Most high temperatures are between 99°F and 117°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.
D)i)The distribution is highly skewed to the right,with an outlier at 134°F.Most high temperatures are between 105°F and 129°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.
E)i)The distribution is fairly symmetric,with an outlier at 134°F (although this value is only obvious from the boxplot).Most high temperatures are between 107°F and 118°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.

Question

Shown below are the boxplot and the histogram for the highest temperatures ever recorded (in °F)in 32 different states in the U.S.A. 
i)What features of the distribution can you see in both the histogram and the boxplot?
ii)What features of the distribution can you see in the histogram that you could not see in the boxplot?
A)i)The distribution is highly skewed to the right,with two outliers at 128°F and 134°F.Most high temperatures are between 105°F and 129°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. 
B)i)The distribution is highly skewed to the left,with an outlier at 134°F.Most high temperatures are between 108°F and 130°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. 
C)i)The distribution is fairly symmetric,with no outliers.Most high temperatures are between 99°F and 117°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. 
D)i)The distribution is highly skewed to the right,with an outlier at 134°F.Most high temperatures are between 105°F and 129°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. 
E)i)The distribution is fairly symmetric,with an outlier at 134°F (although this value is only obvious from the boxplot).Most high temperatures are between 107°F and 118°F. ii)When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.

Quizplus · Accepted Answer

Choice E is the only option that mentions a fairly symmetric distribution with an outlier, which is visible in the boxplot. The bimodal shape in the histogram is noted in all options, but it is not relevant to the best choice as it is not a feature that can only be seen in the histogram and not in the boxplot. Option A, B, and D mention a highly skewed distribution, which is not evident in the boxplot as it does not show the exact shape of the distribution. Option C mentions a symmetric distribution with no outliers, but this is not visible in the boxplot, which shows a range of values that are not necessarily evenly distributed. Therefore, the best choice is E, as it includes an outlier in the boxplot and describes the distribution as fairly symmetric.

Shown Below Are the Boxplot and the Histogram for the Highest