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WorksheetsAP Statistics Unit 1 Review
Total questions: 38
Worksheet time: 1hrs 19mins
Country A: 100, 125, 130, 165, 205
About what percent of Country A women weigh between 125 and 205 pounds?
What is the standardized score (z-score) for a student who scored 530 on the old SAT scale?
Here are the ages of randomly selected people at a community playground
3, 10, 42, 25, 5, 8, 6, 12, 15, 4, 3, 21
To make a stemplot of this data you would use the stems
0 and 1
1, 2, and 4
0, 1, 2, 3, and 4
3, 10, 42, 25, 5, 8, 6, 12, 15, 4, 3, and 21
none of the above is a correct answer
If a distribution is symmetrical, which of the following is true?
the mean must be less than the median
the mean and median must be equal
the mean must be greater than the median
the mean is either equal to or less than the median
it's impossible to tell which of the above statements is true without seeing the data
A
B
C
D
E
A
B
C
D
E
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to
63
67
66
72
70
At a college the scores on the Spanish final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the Humanities final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the Spanish final and 84 on the Humanities final. Relative to the students in each respective class, in which subject did this student do better?
The student did better in Spanish.
The student did better in Humanities.
There is no basis for comparison, since the subjects are different from each other and are in different departments.
The student did equally well in each course.
There is not enough information for comparison.
Which of the following is NOT a measure of spread?
IQR
Mean
Standard Deviation
Range
Some descriptive statistics for a set of test scores are shown above. For this test, a certain student has a standardized score of z = -1.2. What score did this student receive on the test?
266.28
779.42
1008.02
1083.38
1311.98
The boxplots above summarize two data sets, A and B.
Which of the following must be true?
I. Set A contains more data than Set B.
II. The box of Set A contains more data than the box of Set B.
III. The data in Set A have a larger range than the data in Set B.
I only
III only
I and II only
II and III only
I, II, and III
At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the chemistry final and 84 on the calculus final. Relative
to the students in each respective class, in which subject did this student do better?
The student did better in chemistry.
The student did better in calculus.
The student did equally well in each course.
There is no basis for comparison, since the subjects are different from each other and are in different
departments.
There is not enough information for comparison, because the number of students in each class is not
known.
A random sample of 374 United States pennies was collected, and the age of each penny was determined.
According to the boxplot below, what is the approximate interquartile range (IQR) of the ages?
8
10
16
40
50
The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.
Which of the following could be the median of the waiting times, in minutes?
2.5
7.25
12.25
15
17.50
The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately normally distributed with a mean of 300 pounds and a standard deviation of 40 pounds.
Approximately, what would be the weight of a female grizzly bear with the same standardized score (z-score) as a male grizzly bear with a weight of 530 pounds?
276 pounds
324 pounds
330 pounds
340 pounds
530 pounds
For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds.
Which of the following is most likely true about the weights for the rabbits in this sample?
The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies.
The distribution of weights is approximately normal because the standard deviation is less than the mean.
The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean.
The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean.
The distribution of weights has a median that is greater than the mean.
The histogram above shows the number of minutes needed by 45 students to finish playing a computer game.
Which of the following statements is correct?
The distribution is skewed to the right.
The distribution is skewed to the left.
The distribution appears to be normal.
The distribution appears to be chi-square.
The distribution appears to be uniform.
Of the following dotplots, which represents the set of data that has the greatest standard deviation?
Which of the following histograms has a shape that is approximately uniform?
Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given in the picture.
Which of the following statements must be true for these customers?
At least half of the customers spent less than or equal to $44.27 and at least half spent greater than or equal to $44.27.
Seventy-five percent of the customers spent between $36.27 and $58.97.
Twenty-five percent of the customers spent less than or equal to $58.97 and the remaining 75 percent spent greater than or equal to $58.97.
The mean amount spent by customers is $44.27.
A majority of customers spent $44.27.
The back-to-back stem-and-leaf plot below gives the percentage of students who dropped out of school at each of the 49 high schools in a large metropolitan school district.
Which of the following statements is NOT justified by these data?
The drop-out rate decreased in each of the 49 schools between the 1989-90 and 1992-1993 school years.
For the school years shown, most students in the 49 schools did not drop out of high school.
In general drop-out rates decreased between the 1989-90 and 1992-1993 school years.
The median drop-out rate of the 49 high schools decreased between the 1989-90 and 1992-1993 school years.
The spread between the schools with the lowest drop-out rates and those with the highest drop-out rates did not change much between the 1989-90 and 1992-1993 school years.
Gina's doctor told her that the standardized score (z- score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.50.
Which of the following is the best interpretation of this standardized score?
Gina's systolic blood pressure is 150.
Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.
Gina's systolic blood pressure is 1.50 above the average systolic blood pressure of women her age.
Gina's systolic blood pressure is 1.50 times the average systolic blood pressure for women her age.
Only 1.5% of women Gina's age have a higher systolic blood pressure than she does.
For which of the following distributions is the mean greater than the median?
The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes. If the student leaves home at 8:25 A.M., what is the probability that the student will arrive at the college campus later than 9 A.M.?
0.16
0.32
0.50
0.84
1.00
The distribution of the weights of loaves of bread from a certain bakery follows approximately a normal
distribution. Based on a very large sample, it was found that 10 percent of the loaves weighed less than 15.34
ounces, and 20 percent of the loaves weighed more than 16.31 ounces. What are the mean and standard deviation of
the distribution of the weights of the loaves of bread?
μ = 15.82,
σ = 0.48
μ = 15.82,
σ = 0.69
μ = 15.87,
σ = 0.50
μ = 15.93,
σ = 0.46
μ = 16.00,
σ = 0.50
For a certain population of penguins, the distribution of weight is approximately normal with mean 15.1 kilograms (kg) and standard deviation 2.2 kg. Approximately what percent of the penguins from the population have a weight
between 13.0 and 16.5?
17%
34%
57%
68%
74%
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Rachael is at the 99th percentile in height for adult women, then her height, in inches, is closest to
60
62
68
70
74
A company wanted to determine the health care costs of its employees. A sample of 25 employees were interviewed
and their medical expenses for the previous year were determined. Later the company discovered that the highest medical expense in the sample was mistakenly recorded as 10 times the actual amount. However, after correcting the error, the corrected amount was still greater than or equal to any other medical expense in the sample. Which of the following sample statistics must have remained the same after the correction was made?
Mean
Median
Mode
Range
Variance
Which of the following is the best estimate of the standard deviation of the distribution shown in the figure above?
5
10
30
50
60
