The number to add to the set of data is 26
The set of data is given as:
11,14,23 and 16
Let the new number be x
So that
Mean = 18
Mean is calculated as:
Mean = Sum/Count
So, we have:
(11 + 14 + 23 + 16 + x)/5 = 18
Multiply by 5
11 + 14 + 23 + 16 + x = 90
Evaluate the like terms
x = 26
Hence, the number to add is 26
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Complete question
A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the five numbers to be 18?