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Elementary Statistics: Quiz 2: Descriptive Statistics

Summary: This module is a quiz containing 10 multiple choice questions covering topics related to descriptive statistics. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

The following table shows the lengths of 64 international phone calls using a $5 prepaid calling card. Table 1: Frequency of Phone Call Lengths Data (minutes) Frequency Relative Frequency Cumulative Relative Frequency 4 25 0.3906 14 15 24 10 0.1563 34 9 0.1406 44 4 0.0625 54 1 0.0156 1.0000 Using the data, determine which ONE of the answers is correct: • A. The mean and the median are equal. • B. The mean is smaller than the median. • C. The mean is larger than the median. Exercise 2 Interpret the following box plot: Which of the following is correct? • A. 75% of the data are at most 5. • B. There is about the same amount of data from 2-5 as there is from 5-7. • C. There are no data values of 3. • D. 50% of the data are 4. Exercise 3 In a set of data, if all of the data appear with the same frequency, then: • A. The standard deviation is always 0. • B. The mean is always larger than the standard deviation. • C. All of the data have the same value. • D. The boxplot does not always look symmetrical. Exercise 4 The following table shows the lengths of 64 international phone calls using a$5 prepaid calling card.

Table 2: Frequency of Phone Call Lengths
Data (minutes) Frequency Relative Frequency Cumulative Relative Frequency
4 25 0.3906
14 15
24 10 0.1563
34 9 0.1406
44 4 0.0625
54 1 0.0156 1.0000

Find the 60th percentile.

• A. 14
• B. 60
• C. 15
• D. 0.2344

Exercise 5

Consider the following data set:

4; 6; 6; 12; 18; 18; 18; 200

What value is 2 standard deviations above the mean?

• A. There is not enough information
• B. Approximately -98
• C. Approximately 102
• D. Approximately 169

Exercise 6

Consider the following data:

14; 16; 16; 22; 25; 38; 38; 38; 38; 2000

Which of the measures of central tendency would be the least useful?

• A. mean
• B. mode
• C. median

Exercise 7

The following table shows the lengths of 64 international phone calls using a \$5 prepaid calling card.

Table 3: Frequency of Phone Call Lengths
Data (minutes) Frequency Relative Frequency Cumulative Relative Frequency
4 25 0.3906
14 15
24 10 0.1563
34 9 0.1406
44 4 0.0625
54 1 0.0156 1.0000

What percent of the data is either 34 or 44 minutes?

• A. Approximately 78%
• B. Approximately 13%
• C. Approximately 98%
• D. Approximately 20%

Questions 8 – 10 refer to the following:

Sixty-four faculty members were asked the number of cars they owned (including spouse's and children's cars). The results are given in the histogram below:

Exercise 8

The number of responses that were either "1" or "3" is approximately:

• A. 0.4
• B. 27
• C. 40
• D. 2

Exercise 9

Which of the following DOES NOT describe the data?

• A. there are approximately 10 faculy members that own 7 cars
• B. skewed left
• C. There are no values of 5
• D. skewed right

Exercise 10

The third quartile is:

• A. 1
• B. 2
• C. 3
• D. 0.75

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