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
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