AP Statistics Exam Review

If a distribution is skewed to the right, which of the following is true?

• The mean must be less than the median.

• The mean and median must be equal

• The mean is either equal to or less than the median

• The mean must be greater than the median

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A small company that prints custom t-shirts has 6 employees, one of whom is the owner and manager. Suppose the owner makes $120,000 per year and the other employees make between $40,000 and $50,000 per year. One day, the owner decides to give himself a$30,000 raise. Which of the following describes how the company's mean and median?

• The median would increase by $6,000 and the mean would not change.

• The mean would increase by $5,000 and the median would not change.

• The mean and median would both increase by $5,000.

• The mean would increase by $6,000, but we cannot determine the change in the median without more information.

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A medical researcher collects health data on many women in each of several countries. One of the variables measured for each woman in the study is her weight in pounds. Thefollowing list gives the five-number summary for the weights of adult women in one of the countries.

C country A 92, 110, 120, 160, 240

About percent of Country A women weigh between 110 and 240 pounds?

• 75%

• 50%

• 80%

• 65%

A sample of 99 distances has a mean of 22 feet and a median of 22.5 feet. Unfortunately, it has just been discovered that the minimum value in the distribution, which was erroneously recorded as 15 actually has a value of 10. If we make this correction to the data, then

• The median decreases, but the mean remains the same

• The median remains the same, but the mean is decreased

• The median increases, but the mean decreases

• The median stays the same, but the mean increases

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The population of the United States is aging. At right is a stemplot of the percentage of residents aged 65 and older in each of the 50 states, according to the 2010 census. There are three outliers: Alaska has the lowest, Utah second lowest, and Florida has the highest. What is the percentage for Utah?

• 8.9%

• 12.5%

• 6.3%

• 9.4%

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At right is a cumulative relative frequency graph for the 48 racers who finished the grueling 50km cross-country ski race at the 2014 Sochi Olympics. Approximately what proportion of the racers finished the race in MORE than 2.15 hours?

• 1.34

• 0.45

• 0.238

• 0.54

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Data for children between the ages of 18 and 30 months show that there is an approximately linear relationship between height and age. The relationship can be represented by y = 63.81 + 0.39x, where y represents height in cm and x represents age in months.Joseph is 22.5 months old. What is his predicted height?

• 74.38

• 83.46

• 72.59

• 95.67

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An agricultural economist says that the correlation between corn prices and soybean prices is r = 0.7. This means that...

• When corn prices are above average, soybean prices tend to stay the same

• When corn prices are below average, soybean prices tend to be above average

• When corn prices are above average, soybean prices tend to be below average

• When corn prices are above average, soybean prices also tend to be above average

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In order to test the effect of music on productivity, a group of assembly line workers are given music players to play whatever music they choose while working for one month. For another month, they work without music. The order of the two treatments for each worker is determined randomly. This is...

• A survey expirament

• A randomized expirament

• A matched pairs expirament

• A factorial expirament

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Draw a bimodal distribution