STAT 213 Study Guide - Midterm Guide: Ap Statistics, Standard Deviation, Ogive
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Chapter 1 1 V2
Chapter 1 Practice Test (0708 Actual—WITH SOLUTIONS) AP Statistics Name Period:
Multiple Choice Questions: 4 points each CORRECT IS IN BOLD
1. A researcher reports that, on average, the participants in his study lost 10.4 pounds after two months on his
new diet. A friend of yours comments that she tried the diet for two months and lost no weight, so clearly
the report was a fraud. Which of the following statements is correct?
(a) Your friend must not have followed the diet correctly, since she did not lose weight.
(b) Since your friend did not lose weight, the report must not be correct.
(c) The report only gives the average. This does not imply that all participants in the study lost 10.4
pounds or even that all lost weight. Your friend’s experience does not necessarily contradict the
(d) In order for the study to be correct, we must now add your friend’s results to those of the study and
recompute the new average.
(e) Your friend is an outlier.
2. The following is an ogive on the number of ounces of alcohol (one ounce is about 30 mL) consumed per
week in a sample of 150 students.
A study wished to classify the students as “light”, “moderate”, “heavy” and “problem” drinkers by the
amount consumed per week. About what percentage of students are moderate drinkers, that is consume
between 4 and 8 ounces per week?
(c) 40% Explanation: 60% of students drink 8 or fewer oz. 20% drink 4 or fewer, so 40% fall in between.
3. “Normal” body temperature varies by time of day. A series of readings was taken of the body temperature
of a subject. The mean reading was found to be 36.5° C with a standard deviation of 0.3° C. When
converted to °F, the mean and standard deviation are
°F = °C(1.8) + 32).
(a) 97.7, 32
(b) 97.7, 0.30
(c) 97.7, 0.54 Meaures of center are affected by multiplying and adding. Measures of spread are affected only by multiplication.
(d) 97.7, 0.97
(e) 97.7, 1.80
Chapter 1 2 V2
This is tricky. You have 50 values (The sum of frequencies = 50), so you know the 40th value from the
bottom is the 80th percetile. (Remember: The 80th percentile is that value at or below which are 80% of all
values.) So where is the 40th value? Again, counting from the bottom, you find the 40th value is within the
You should also note that the class labeling is horrible! Into what class would you place a value of exactly
10, for instance?
4. You measure the number of children, marital status and earned income of an SRS of 1463 women. The
number and type of variables you have measured is
(a) 1463; all quantitative.
(b) four; two categorical and two quantitative.
(c) four; one categorical and three quantitative.
(d) three; two categorical and one quantitative.
(e) three; one categorical and two quantitative.
5. Consumers’ Union measured the gas mileage in miles per gallon of 38 1978–1979 model automobiles on
a special test track. The pie chart below provides information about the country of manufacture of
the model cars used by Consumers Union. Based on the pie chart, we may conclude that:
(a) Japanese cars get significantly lower gas mileage than cars of other countries. This is
because their slice of the pie is at the bottom of the chart.
(b) U.S cars get significantly higher gas mileage than cars from other countries.
(c) Swedish cars get gas mileages that are between those of Japanese and U.S. cars.
(d) Mercedes, Audi, Porsche, and BMW represent approximately a quarter of the cars tested.
(e) More than half of the cars in the study were from the United States.
(Note the line in bold above. The chart speaks only to this variable.)
6. The following is a histogram showing the actual frequency of the closing prices on the
New York exchange of a particular stock. Based on the frequency histogram for New York Stock
exchange, the class that contains the 80th percentile is: