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Chapter 12: Problem 42

What is a frequency distribution?

Short Answer

Expert verified
A frequency distribution is a statistical tool that lists, in a table or graph format, the frequency of various outcomes in a sample. It's a snapshot of the data distribution.

Step by step solution

01

Definition

A frequency distribution is a list or a graph that displays the frequency of various outcomes in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a specific group or interval, and in this way, it provides a snapshot of the distribution of data.
02

Examples

For instance, consider recording the favorite color of a class of students. If 10 students say red, 8 say yellow, and 4 say blue, then the frequency distribution of favorite colors is ('red', 10), ('yellow', 8), ('blue', 4). This distribution simply summarizes the frequency of occurrence of each color.
03

Usage

Frequency distributions are typically used in descriptive statistics to summarize raw data before other statistical methods are applied. It helps analysts to organize, summarize and visually represent data for easy understanding.

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Most popular questions from this chapter

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20.Find the score that is one-half a standard deviation below the mean.

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20.Find the score that is \(1 \frac{1}{2}\) standard deviations above the mean.

A set of data items is normally distributed with a mean of 400 and a standard deviation of 50. Find the data item in this distribution that corresponds to the given z-score. \(z=-1.5\)

In Exercises 27-28, compute the mean, range, and standard deviation for the data items in each of the three samples. Then describe one way in which the samples are alike and one way in which they are different. Sample A: \(6,8,10,12,14,16,18\) Sample B: 6, 7,8,12,16, 17, 18 Sample C: 6, 6, 6, 12, 18, 18, 18

Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4.Find the \(z\)-score for the given score on this dental anxiety scale. 18
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