Chapter 2: Q T2.2. (page 148)
For the Normal distribution shown, the standard deviation is closest to

Short Answer
The correct option is (d)
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Chapter 2: Q T2.2. (page 148)
For the Normal distribution shown, the standard deviation is closest to

The correct option is (d)
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Step right up! Refer to Exercise Suppose that the distances from the tops of the students’ heads to the ground are converted from inches to feet (note that ).
a. What shape would the resulting distribution have? Explain your answer.
b. Find the mean of the distribution of distance in feet.
c. Find the standard deviation of the distribution of distance in feet.
Shoes How many pairs of shoes does a typical teenage boy own? To find out,
two AP® Statistics students surveyed a random sample of male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here is a dot-plot of the data: 
a. Find the percentile for Jackson, who reported owning pairs of shoes.
b. Raul’s reported number of pairs of shoes is at the percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?
Mean and median The figure displays two density curves that model different
distributions of quantitative data. Identify the location of the mean and median by letter for each graph. Justify your answers.

Measuring bone density Individuals with low bone density (osteoporosis) have a high risk of broken bones (fractures). Physicians who are concerned about low bone density in patients can refer them for specialized testing. Currently, the most common method for testing bone density is dual-energy ray absorptiometry (DEXA). The bone density results for a patient who undergoes a DEXA test usually are reported in grams per square centimeter () and in standardized units. Judy, who is years old, has her bone density measured using DEXA. Her results indicate bone density in the hip of 948 g/cm2 and a standardized score of The mean bone density in the hip is 956 in the reference population of year-old women like Judy.
a. Judy has not taken a statistics class in a few years. Explain to her in simple language what the standardized score reveals about her bone density.
b. Use the information provided to calculate the standard deviation of bone density in the reference population.
Long jump Refer to Exercise Suppose that the corrected long-jump
distances are converted from centimeters to meters (note that ).
a. What shape would the resulting distribution have? Explain your answer.
b. Find the mean of the distribution of corrected long-jump distance in meters.
c. Find the standard deviation of the distribution of corrected long-jump distance in meters.
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