In any relative frequency distribution, the sum of all the relative frequencies is always equal to 1.

Question

BlackTom AI · Accepted Answer

When we form a relative frequency distribution, each category's relative frequency represents the proportion of the total observations that fall into that category. Since all observations are accounted for in the distribution, the sum of these proportions must cover the entire data set, which mathematically adds up to 1.

Consider a simple example: if you have 100 data points across several categories, the relative frequency for each category is (count in category) / 100. Summing these across all categories gives (sum of counts) / 100 = 100 / 100 = 1.

A few nuances to keep in mind: 
- Rounding: when you round relative frequencies to a limited number of decimal places, the sum may appear to be 0.99 or 1.01, but the true unrounded sum is exactly 1. 
- Zero-frequency categories: if a category has zero observations, its relative frequency is 0, and the remaining frequencies still sum to 1.
- Incomplete or missing categories: if the distribution omits some possible categories that actually occurred, the stated relative frequencies would not sum to 1; in a complete relative frequency distribution, all possible outcomes present in the data are included.

Therefore, in a properly constructed relative frequency distribution that includes all observed categories (and with rounding handled appropriately), the sum of all relative frequencies equals 1.

4448_UAC_1064 Quiz 2

In any relative frequency distribution, the sum of all the relative frequencies is always equal to 1.

View Explanation

Log in for full answers

Similar Questions

Question at position 10 Below is a histogram for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. What is the relative frequency of the 25-28 bin? Question Blank 1 of 1[input]

Question at position 8 Which of the following gives the proportion of items in each bin?Bin proportionClass sizeRelative frequencyFrequencyClear my selection

What proportion of telephone calls lasted 5 minutes or more?[Fill in the blank]

位置17的问题 The sum of the relative frequencies for all classes will always equal _____.the sample sizethe number of classes1001

A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to

What proportion of telephone calls lasted 5 minutes or more?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler