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Elementary Statistics: Quiz 2: Descriptive Statistics

Module by: Susan Dean, Dr. Barbara Illowsky

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.

Exercise 1

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

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:

Figure 1
Box plot showing data from 0 to 7 with Q1 at 2, Q2 at 4, and Q3 at 5

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.

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.

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:

Figure 2
Histogram showing frequency of faculty car ownership. Frequencies are 0.15 for 1 car, 0.45 for 2 cars, 0.25 for 3 cars, and 0.15 for 7 cars, with all other frequencies equal to 0.

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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