1. In August, 2019, a sample of 50 songs from Spotify was analyzed using a special algorithm in order to measure song popularity. A higher popularity measure is better and reflects how popular a song is relative to other songs on Spotify. The distribution of popularity measures for the songs in this sample is presented below. What is the shape of this distribution?

(Please use graphical display in the link for question 1, I sent you below)

Choose the correct answer

A. Symmetric

B. Skewed to the left

C. Skewed to the right

D. Erratic

E. Uniform

2. Return to the distribution presented in Question 1. What should you conclude based on an examination of this

distribution?

Choose correct answer

A. There is no variability among the popularity measures in this distribution.

B. More than 50% of the popularity measures are 90 or higher.

C. This type of graphical display is known as a bar graph.

D. Exactly one song has a popularity measure of 70.

E. Three songs have popularity measures less than 80.

3. A sample of chemistry students was asked to keep track of the number of hours they spent studying for their midterm exam. The responses from each student in the sample are presented in the table below. Which response is at the 25th percentile?

(Please use the table in the link for question 3, I sent you below)

Choose the correct answer

A. 12

B. 18

C. 21

D. 7

E. 5

4. A(n) ________________ can be negative, but a ________________ can never be negative.

Choose correct answer

A. IQR; standard deviation

B. mean; median

C. median; mean

D. mean; standard deviation

E. standard deviation; median

5. Students in a high school English class completed a vocabulary test worth 100 points, and all students in the class ended up receiving a different score on this test. When the test scores were summarized, the following measures were obtained: Minimum = 25 points, Q1 = 59 points, Median = 78 points, Q3 = 87 points, and Maximum = 100 points. If Vu's score on this test is at the 70th percentile, what does this mean?

Choose correct answer

A. Vu's test score is between 25 points and 59 points.

B. Vu's test score is between 59 points and 78 points.

C. Vu's test score is between 78 points and 87 points.

D. Vu's test score is between 87 points and 100 points.

E. Vu earned 70 points on this test.

6. The ________________________ are generally more impacted by outliers than the ________________________.

Choose the correct answer

A. mean and median; standard deviation and interquartile range

B. median and standard deviation; mean and interquartile range

C. first quartile and third quartile; minimum and maximum

D. mean and standard deviation; median and interquartile range

E. interquartile range and median; standard deviation and mean

7. In Dr. Hathaway's physics course, most students earned low scores on the final exam, and only a very small number of students earned high scores. When summarizing the final exam scores, Dr. Hathaway computed two measures of center: 69.5 points and 82.5 points. One of these measures is the mean and one is the median. Which measure must be the mean?

Choose the correct answer

A. The mean is 69.5 points because the distribution of exam scores would be skewed to the left.

B. The mean is 69.5 points because the distribution of exam scores would be skewed to the right.

C. The mean is 82.5 points because the distribution of exam scores would be skewed to the left.

D. The mean is 82.5 points because the distribution of exam scores would be skewed to the right.

E. It is impossible to answer this question without more information.

8. If a sample of data has a standard deviation equal to 0, we should conclude that

Choose the correct answer

A. there must be positive and negative values in the sample that cancel each other out.

B. the mean of the sample will be smaller than the median

C. all data values in sample must be the same.

D. all data values in sample must be equal to 0.

E. a mistake was made in calculating the standard deviation since a standard deviation can never be 0.

9. In 1988, The Beatles were inducted into the Rock and Roll Hall of Fame. The Beatles released 12 studio albums in the United Kingdom, and across all of these albums, there were a total of 175 songs recorded. The boxplot below and the accompanying table of summary statistics presents information about the lengths, in seconds, of this sample of 175 songs. Based on this information, which one of the following answers is correct?

(Please use boxplot in the link and the accompanying table of summary statistics, I sent you a link below)

Choose the correct answer

A. The average length of songs in this sample is 153 seconds. B. More than 50 songs have lengths between 175 seconds and 493 seconds. C. The average distance of the songs in this sample from the mean is 58.71 seconds. D. The IQR for this sample is 23 seconds. E. The song that is at the 50th percentile is 161.31 seconds long.

10. A nice thing about boxplots is that they can allow us to compare groups. Returning to the Beatles example from Question 9, let's say we want to compare song lengths across two different Beatles' albums: Let it Be (LIB) and Yellow Submarine (YSB). Based on what you see in the accompanying boxplots and table of summary statistics, what should you conclude?

( Please use boxplot in the link and the accompanying table of summary statistics, I sent you a link below)

Choose correct answer

A. The distribution of song lengths on the Let it Be album is skewed to the left, whereas the distribution of song

lengths on the Yellow Submarine album is skewed to the right.

B. The distribution of song lengths on the Let it Be album is skewed to the right, whereas the distribution of song lengths on the Yellow Submarine album is skewed to the left.

C. The distributions of song lengths on both albums are symmetric.

D. The Let it Be distribution has a larger IQR than the Yellow Submarine distribution.

E. There were fewer songs on the Let it Be album than on the Yellow Submarine album.