Suppose you are working with a dataset of size 500. How many classes would be most appropriate, given the choices below, for creating a frequency table? 1 10 100 500

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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Suppose you are working with a dataset of size 500. How many classes would be
most appropriate, given the choices below, for creating a frequency table?
1
10
100
500
Transcribed Image Text:Suppose you are working with a dataset of size 500. How many classes would be most appropriate, given the choices below, for creating a frequency table? 1 10 100 500
Expert Solution
Step 1

Practically the number of classes should neither be too small nor too large. If number of classes is too small then the classification becomes very broad and frequencies will be crowded in a single class. If number of classes is too large then there will be irregular pattern frequencies in different classes thus making the frequency distribution irregular.

There are number of rules for calculating number of classes,. One of the most popular one is

k=1+3.322*log10N=1+3.322*log10500=9.955910 

  

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