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Chapter 2: Q 2.18 (page 49)

Explain the difference between

a. frequency and relative frequency.

b. percentage and relative frequency.

Short Answer

Expert verified
  1. Frequency refers to the number of observations that fall into a given category. Relative frequency is the percentage of a class given as a decimal.
  2. The value is calculated by dividing the class's frequency by the total number of observations and multiplying the result by 100. It's a proportion. Relative frequency is the percentage of a class given as a decimal.

Step by step solution

01

Part (a) Step 1: Given Information

We have to distinguish the frequency and relative frequency.

02

Part (a) Step 2 Explanation

The distinction between frequency and relative frequency can be easily defined as follows: frequency uses the actual values of each class in a statistical data set, whereas relative frequency compares these individual values to the overall totals of all classes in the data set.

03

Part (b) Step 1 Given Information

We have to distinguish percentage and relative frequency.

04

Part (b) Step 2 Explanation

To calculate relative frequencies, divide each frequency by the total number of students in the sample. Relative frequencies can be expressed using fractions, percents, or decimals.

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