Shown Below Are the Boxplot and the Histogram for the Highest

question 94

Multiple Choice

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.

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Definitions:

Reverse Bias

A condition in semiconductor devices where the voltage is applied in the opposite direction of the forward bias, often to block current flow.

Initial Cost

The initial expenditure involved in starting a project, acquiring an asset, or initiating an investment.

Annual Cash Flows

The total amount of money being transferred into and out of a business, captured yearly.

Cross-over Rate

The Cross-over Rate is the point at which two different projects or investments have the same net present value or rate of return, used in capital budgeting to compare projects.