Horsepower is another measure commonly used to describe auto engines. Here are the summary statistics and histogram

Question:

Horsepower is another measure commonly used to describe auto engines. Here are the summary statistics and histogram displaying horse powers of the same group of 38 cars discussed in Exercise R1.38.

a) Describe the shape, center, and spread of this distribution.
b) What is the interquartile range?
c) Are any of these engines outliers in terms of horsepower?
d) Do you think the 68–95–99.7 Rule applies to the horsepower of auto engines? Explain.
e) From the histogram, make a rough estimate of the percentage of these engines whose horsepower is within one standard deviation of the mean.
f) A fuel additive boasts in its advertising that it can “add 10 horsepower to any car.” Assuming that is true, what would happen to each of these summary statistics if this additive were used in all the cars?

Data From Exercise R1.38.

Here is a stem-and-leaf display showing profits (in $M) for 30 of the 500 largest global corporations (as measured by revenue). The stems are split; each stem represents a span of 5000 ($M), from a profit of 43,000 ($M) to a loss of 7000 ($M). Use the stem-and-leaf to answer the questions.