The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:

The 5 scores that are 1 above the mean implies that:

The mean of a dataset is calculated using:

So, we have:


Open brackets

Multiply both sides by 6

Make b the subject


This means that the 6th score is 5 points below the mean
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