Q: Which of the following is a correct formula for calculating relative frequency?

$$\text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Sum of all frequencies}}$$

Question 1

Which of the following best describes a frequency distribution?

Accepted Answer

A table that lists all classes and the number of values in each class, but does not maintain the original data values.

Question 2

Given the following class limits for a frequency distribution: 10-19, 20-29, 30-39, what is the class width?

Accepted Answer

$$	ext{Class width} = 10$$

Question 3

If a frequency distribution has the following frequencies: 5, 8, 12, 10, what is the relative frequency of the class with frequency 12?

Accepted Answer

$$\frac{12}{35} = 0.343$$

Question 4

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

Accepted Answer

Choose the maximum data value as the first lower class limit.

Question 5

A cumulative frequency distribution for pulse rates shows 'Less than 90' has a cumulative frequency of 37. What does this mean?

Accepted Answer

There are 37 females with pulse rates less than 90.

Question 6

What is the midpoint of the class 80-89?

Accepted Answer

$$\frac{80 + 89}{2} = 84.5$$

Question 7

Which type of graph is most appropriate for displaying the cumulative frequency of a data set?

Accepted Answer

Ogive

Question 8

A histogram is constructed for the pulse rates of females. What does the height of each bar represent?

Accepted Answer

The frequency of pulse rates within each class interval.

Question 9

Which of the following is a potential error in graph construction?

Accepted Answer

Using a bar graph to display time series data.

Question 10

Given the following frequency distribution for wild bear weights: 26-95 (5), 96-165 (6), 166-235 (7), 236-305 (1), 306-375 (4), 376-445 (2), what is the cumulative frequency for the class 166-235?

Accepted Answer

$$5 + 6 + 7 = 18$$

Question 11

Which of the following best describes a stemplot?

Accepted Answer

A plot that separates each value into a stem and a leaf to display quantitative data.

Question 12

A relative frequency histogram differs from a regular histogram in that:

Accepted Answer

The vertical axis shows relative frequencies instead of absolute frequencies.

Question 13

If the class boundaries for the class 60-69 are 59.5 and 69.5, what is the class boundary between 69 and 70?

Accepted Answer

$$69.5$$

Question 14

Which of the following graphs is best for showing the relationship between temperature and cricket chirps?

Accepted Answer

Scatter plot

Question 15

A frequency polygon is constructed by:

Accepted Answer

Connecting points above class midpoints at heights equal to class frequencies.

Question 16

Which of the following best describes a symmetric histogram?

Accepted Answer

The left and right sides are approximately mirror images.

Question 17

If a class in a frequency distribution has a lower class limit of 20 and a class width of 10, what is the upper class limit?

Accepted Answer

$$20 + 10 - 1 = 29$$

Question 18

Which of the following is a correct formula for calculating relative frequency?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of the class}}{	ext{Sum of all frequencies}}$$

Question 19

A time series graph is most useful for:

Accepted Answer

Displaying how a variable changes over time.

Summarizing and Graphing Data (Introductory Statistics Ch. 2)

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