The following table gives the number of modules that a

b2sonicxh

b2sonicxh

Answered question

2021-12-08

The following table gives the number of modules that a sample of first-year students are registered for.
10765633691548642228647102348783
Construct a frequency distribution table for the data. Include frequencies, relative frequencies and cumulative relative frequencies, using percentage notation for relative frequencies.

Answer & Explanation

Lindsey Gamble

Lindsey Gamble

Beginner2021-12-09Added 38 answers

Step 1 Introduction
Frequency Distribution: A frequency distribution is representation of data in a graphical (or) tabular manner and it displays that how data frequently occurred in a specified interval
Properties of Frequency Distribution table :
- To construct a frequency distribution the data, need to be sorted or separated into different groups this groups are called as classes.
- Here Classes must be continuous i.e., there should no gaps in the classes.
- The classes must be equal width otherwise the frequency distribution will give un accurate view of data.
- The frequency of data belongs to each class then it recorded in a table of frequency called frequency table.
Step 2
Answer & Explanation
Consider the following table to find the Relative and Cumulative relative frequency
Frequency distribution table:
ClassesFrequenciesRelative frequencyCumulative FrequencyCumulative relative frequency039930100=30%9930100=30%36111130100=37%9+11=202030100=67%698830100=27%28+8=282830100=93%10 or more2230100=7%28+2=303030100=100%N=30
From the above table Sum of Frequency N=30
Relative frequency (%) : Calculate the relative frequency by dividing the Each frequency value with N = 30. then multiply the obtained value with the 100.
Relative frequency(%)=Each FrequencySum of frequencies(N)100
Cumulative Frequency: The cumulative Frequency is calculated as by adding each frequency from a frequency table to the sum of its predecessors. Final value of the cumulative Frequency should equal to the sum of all frequencies.
Cumulative Relative Frequency:
Cumulative Relative frequency(%)=Each cumulative FrequencySum of frequencies(N)100

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