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91Ó°ÊÓ

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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