The following list shows the number of goals scored by a soccer team in each of 9 games. 0, 0, 1, 1, 1, 3, 3, 4, 5 How does the median number of goals scored compare with the mean number of goals scored?

The median is less than the mean by 1.

The median is equal to the mean

The median is greater than the mean by 1.

The median is less than the mean by 2.

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58 One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 × IQR rule for outliers, is there evidence to support the student’s claim?

No, there is only one outlier at 58 minutes.

Yes, there are two outliers. One outlier is 9 minutes and the other outlier is 58 minutes.

No, there is only one outlier at 9 minutes.

No, there are three outliers. One outlier is 9 minutes, one outlier is 35 minutes, and one outlier is 58 minutes.

A reporter collected data on the purchase prices, in thousands of dollars, of 72 cars sold in a region. The above histogram summarizes the reporter’s data. For a presentation on the data collected, the reporter used the median of the distribution to describe the typical purchase price. Which of the following might explain the use of median to describe the typical purchase price?

There is an outlier between $80,000 and $85,000. Medians are resistant to outliers, while means are not.

The number of observations that fall within a given interval is known. However, within each interval, the actual values are not known.

The distribution is left skewed.

The values represented in the histogram are in the thousands.

The above boxplot summarizes the heights of a group of people who participate in a weekend biking club. Which of the following statements is supported by the boxplot?

Approximately 50% of the people have a height between 62 inches and 70 inches.

The number of people with height at least 70 inches is greater than the number of people with height at most 62 inches.

The number of people with height at least 67 inches is less than the number of people with height at most 67 inches.

Approximately 25% of the people have a height greater than 62 inches.

The above table shows statistics on the ages, in years, of the people who attended a lecture last week. The data are summarized in the boxplot shown. Which of the following statements is supported by the table and boxplot?

At least 75% of the people who attended the lecture were age 53 years or younger.

The range of the distribution is 20 years.

There were 43 people who attended the lecture.

At least 50% of the people who attended the lecture were 43 years or younger.

At least 25% of the people who attended the lecture were 33 years old.

The following boxplot summarizes the earnings made on one day at 45 movie theaters. Which of the following best compares the median movie theater earnings with the mean movie theater earnings?

The median is less than the mean because the distribution is likely skewed to the right.

The median and mean are equal because the distribution is likely symmetric.

The median and mean are equal because the distribution is likely skewed to the right.

The median is less than the mean because the distribution is likely symmetric.

The median is less than the mean because the distribution is likely skewed to the left.

Researchers studying catfish estimated the number of fingerling catfish and large catfish living in different rivers throughout the country. The above histograms summarize the relative frequency for each type of catfish. Based on the histograms, which of the following is the best comparison of the means and the ranges for the two distributions?

The mean and range of the fingerling catfish are both greater than those of the large catfish.

The mean and range of the fingerling catfish are both equal to those of the large catfish.

The mean and range of the fingerling catfish are both less than those of the large catfish.

The mean of the fingerling catfish is equal to that of the large catfish, and the range of the fingerling catfish is greater than that of the large catfish.

The mean of the fingerling catfish is equal to that of the large catfish, and the range of the fingerling catfish is less than that of the large catfish.

A sociologist studying marriage customs collected data on the length of time, in months, between the proposal and wedding. The above boxplot and table give the five-number summary for couples in which at least one person was getting married for the first time and for couples in which both people had been previously married. Based on the summary statistics, which of the following statements is supported by the boxplots and table?

The interquartile range of length of time for first-time couples is greater than that of previously married couples.

The mean length of time for first-time couples is 18 months, and the mean length of time for previously married couples is 12 months.

There is a gap between 20 and 36 for the first-time married distribution.

Because both distributions have a minimum of 0.5 months, the distributions are skewed to the left.

The number of first-time couples in the study is greater than the number of previously married couples in the study.

AP Statistics - Unit 1

Quiz

•

Mathematics

•

11th Grade - University

•

Practice Problem

•

Hard

•

CCSS

HSS.ID.A.2, HSS.ID.A.3, HSS.ID.A.4

+3

Standards-aligned

William Lee

Used 608+ times

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How would you describe this graph?

Symmetric

Skewed Right

Skewed Left

Bimodal

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all students on the quiz?

A. 84.3

B. 85.0

C. 85.7

D. None of these

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.MD.A.2

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got a 75% on the test.
II. You can't really tell what this means without knowing the standard deviation.
III. You can't really tell what this means unless the class distribution is nearly normal.

A. None of these

B. I only

C. II only

D. III only

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The advantage of making a stem and leaf display instead of a dotplot is that a stem and leaf plot

A. Satisfies the area principle

B. Shows the shape of the distribution better than a dotplot

C. Preserves the individual data values

D. A stem and leaf display is for quantitative data, while the dotplot is for categorical data

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does μ stand for?

Population standard deviation

Population mean

Sample standard deviation

Sample mean

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does σ stand for?

Population standard deviation

Population mean

Sample standard deviation

Sample mean

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does s_x stand for?

Population standard deviation

Population mean

Sample standard deviation

Sample mean

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

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AP Statistics - Unit 1

19 questions

How would you describe this graph?

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all students on the quiz?

Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got a 75% on the test.
II. You can't really tell what this means without knowing the standard deviation.
III. You can't really tell what this means unless the class distribution is nearly normal.

The advantage of making a stem and leaf display instead of a dotplot is that a stem and leaf plot

What does μ stand for?

What does σ stand for?

What does s_x stand for?

What does x̄ stand for?

The above table shows the number of miles a hiker walked on a trail each day for 6 days.

What was the mean number of miles the hiker walked for the 6 days?

The following list shows the number of goals scored by a soccer team in each of 9 games.

0, 0, 1, 1, 1, 3, 3, 4, 5

How does the median number of goals scored compare with the mean number of goals scored?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

AP Statistics - Unit 1

19 questions

How would you describe this graph?

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all students on the quiz?

Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true?I. You got a 75% on the test.II. You can't really tell what this means without knowing the standard deviation.III. You can't really tell what this means unless the class distribution is nearly normal.

The advantage of making a stem and leaf display instead of a dotplot is that a stem and leaf plot

What does μ stand for?

What does σ stand for?

What does sx stand for?

What does x̄ stand for?

The above table shows the number of miles a hiker walked on a trail each day for 6 days.What was the mean number of miles the hiker walked for the 6 days?

The following list shows the number of goals scored by a soccer team in each of 9 games.0, 0, 1, 1, 1, 3, 3, 4, 5How does the median number of goals scored compare with the mean number of goals scored?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got a 75% on the test.
II. You can't really tell what this means without knowing the standard deviation.
III. You can't really tell what this means unless the class distribution is nearly normal.

What does s_x stand for?

The above table shows the number of miles a hiker walked on a trail each day for 6 days.

What was the mean number of miles the hiker walked for the 6 days?

The following list shows the number of goals scored by a soccer team in each of 9 games.

0, 0, 1, 1, 1, 3, 3, 4, 5

How does the median number of goals scored compare with the mean number of goals scored?