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Frequency

Distribution

Table

(grouped)

What it is

Why and how to Group

How to create one

Terminology

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What it is

A Frequency Distribution table will show the frequency with which certain scores occur.

For example, we might want to know the number of marks scored in an exam by the students of a class,

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What it is

A Frequency Distribution table will show the frequency with which certain scores occur.

… the ages of students in that class.

Or…

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Why group

Sometimes the data we are considering has such a large range of scores that it is necessary to collect the scores into groups or classes to make them easier to understand.

To see guidelines for grouping click here

The example above shows the number of marks scored in an exam.

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Groups are decided on by looking at the range of the scores and choosing the interval so that there are about 5 to 15 groups.

To see guidelines for grouping click here

In this example the exam marks are grouped in tens.

How to group

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Terminology

In this section you will read the term array, for the purpose of this lesson an array is a group of cells.

There is reference to three types of array: data array, bins array and return array.

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Data Array

A Data Array is a set of values

This Data Array refers to the marks gained by a group of

students in an exam.

Terminology

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Bins Array

A Bins Array shows the ranges into which you want to group the values in the Data Array and the upper limit of each group. It is the values in the Upper Limit column which will be used in the frequency formula.

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Organising data in bins

74 51 60 61 53 69 5480 93 6370 40 30 55 57 59 5550 43 3247 53 52 67 44 35 484 50 4252 12 44 43 58 49 3237 56 3973 21 21 86 67 75 6865 64 62

0-90-9 10-1910-19 20-2920-29 30-3930-39 40-4940-49 50-5950-59 60-6960-69 70-7970-79 80-8980-89 90-9990-99

Terminology

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Return Array

A Return Array shows the result of the frequency distribution formula.

The frequency is the number of marks included in each group.

The figures in the Frequency column are called the Return Array

Terminology

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How To Create A Frequency Distribution Table

1. Access data

2. Establish the lowest and highest scores

3. Group data

4. Key in upper limit of groupings

5. Enter frequency array formula

6. Example of Completed Table

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Access Data

The figures below show the list of exam marks of

students studying Spreadsheets

Key in, or import the data to be used.

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Establish the lowest and highest scores

Here we have used the formulae =MIN

and =MAX to find the lowest and highest

scores

To see the results click here back

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Key in upper limit of groupings

These are the highest numbers in

each group. These will be used as the Bins Array in

the frequency distribution formula.

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Enter frequency array formula

Highlight not just one cell but all the cells which will contain the frequencies.In this example the cells C13 to C22 have been highlighted.

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Enter frequency array formula

Type: =FREQUENCY(data array,bins array). Press CTRL+SHIFT+ENTER The formula will go into all of the cells.

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Enter frequency array formula

This is the result of the formula, the

Return Array.

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Completed Table

Data Array

Lowest and highest scores

Groups and Bins Array

Return Array

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