Question 1

Which of the following best describes a qualitative variable?

Accepted Answer

A variable that classifies individuals based on an attribute or characteristic.

Question 2

Given the formula $$ 	ext{relative frequency} = \frac{	ext{frequency}}{	ext{sum of all frequencies}} $$, what is the relative frequency of a category with a frequency of 9 in a data set with a total of 45 observations?

Accepted Answer

$$0.25$$

Question 3

Which type of graph is most appropriate for displaying the distribution of M&M colors in a single bag?

Accepted Answer

Bar graph

Question 4

A frequency distribution table for M&M colors shows the following frequencies: Brown: 12, Yellow: 10, Red: 9, Orange: 7, Blue: 3, Green: 4. What is the cumulative frequency after the 'Red' category?

Accepted Answer

31

Question 5

Which of the following statements about histograms and bar graphs is correct?

Accepted Answer

Histograms are used for quantitative data, and their bars touch each other.

Question 6

A pie chart is constructed to show the marital status of a population. If 58% are married, what is the angle of the sector representing married individuals?

Accepted Answer

$$208.8^\circ$$

Question 7

Which of the following is an advantage of a stem-and-leaf plot over a histogram?

Accepted Answer

It allows the raw data to be retrieved from the plot.

Question 8

A grouped frequency distribution is needed when:

Accepted Answer

The range of the data is large and there are many different values.

Question 9

If the class width for a grouped frequency distribution is calculated as $$ \frac{34}{7} = 4.86 $$, what value should be used for the class width?

Accepted Answer

$$5$$

Question 10

Which of the following best describes a distribution that is 'skewed right'?

Accepted Answer

The peak is on the left and the tail to the right is longer.

Question 11

A dot plot is most useful for which type of data set?

Accepted Answer

A small data set with quantitative variables.

Question 12

In a frequency polygon, what is plotted on the horizontal axis?

Accepted Answer

Class midpoints

Question 13

A time series plot is most appropriate for which of the following scenarios?

Accepted Answer

Displaying the change in average temperature over several years.

Question 14

Which of the following is NOT a step in constructing a grouped frequency distribution?

Accepted Answer

Sort the data in alphabetical order.

Question 15

If a bar graph is constructed with horizontal bars instead of vertical bars, what is a likely reason for this choice?

Accepted Answer

The category names are lengthy.

Question 16

Given the following frequency table for number of cars per household: 0 cars: 4, 1 car: 13, 2 cars: 22, 3 cars: 7, 4 cars: 3, 5 cars: 1. What is the cumulative frequency after 2 cars?

Accepted Answer

39

Question 17

Which of the following best describes a uniform distribution?

Accepted Answer

The frequency of each value is evenly spread out across the values.

Question 18

What is the main difference between a frequency polygon and a histogram?

Accepted Answer

A frequency polygon uses class midpoints and connects points with lines, while a histogram uses bars for each class.

Question 19

If you want to compare the distribution of marital status in 1990 and 2006, which type of graph would be most appropriate?

Accepted Answer

Side-by-side bar graph

Organizing and Displaying Data in Statistics

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