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what is frequency distribution?

By Grainne McLaughlin on the 11th of June, 2012

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The size of the intervals used in a frequency distribution will depend on the data being analyzed and the goals of the analyst. However, the most important factor is that the intervals used must be non-overlapping and contain all of the possible observations.

For example, a frequency distribution in a tabular format for weekly stock returns may look like:

By Cecil on the 15th of January, 2013

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Frequency Distribution is a mathematical function showing the number of instances in which a variable takes each of its possible values.A frequency distribution is an arrangement of the values that one or more variables take in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and in this way, the table summarizes the distribution of values in the sample

By jagadish on the 14th of January, 2013

Calculate the mean for a frequency distribution

As you should know to calculate the mean it is not very hard, all we have to do is add up all the numbers and divide by however many numbers there are.

But, sometimes we may have a frequency table which shows how many times a number has come up. Lets work out the mean of our frequency distrubution from the following frequency table.

Score                 Frequency

1                             6

2                             4

3                             3

4                             4

5                             2

All we must do to work out the mean is write out the information in to a simple sum.

1+1+1+1+1+1 + 2+2+2+2 + 3+3+3 + 4+4+4+4 + 5+5

6 + 4 + 3 + 4 +5

Simple enough isn't it? We could go one step further and make it look simpler by  multiplying the score by the frequency, shown below:

(1 x 6) + (2 x 4) + (3 x 3) + (4 x 4) + (5 x 2)

22

So now we can work out our mean, shown below:

6 + 8 + 9 + 16 + 10 = 2.23

22

Follow the links below to see how this topic has appeared in past exam papers

AQA Unit 1March 2011 (H) - Page 2, Question 2

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