A sample of n = 5 scores has a mean of m = 8. one new score is added to the sample and the new mean is calculated to be m = 9. w
hat is the value of new score?
2 answers:
If the 5 scores have a mean of 8, then their total sum would be 8*5 = 40
Now if one score if added (let's call this score x), there are 6 scores and the mean changes to 9, thus:
(40 + x)/6 = 9
40 + x = 54
x = 14
When = n = 5, m = 8 , total = 5 x 8 = 40
When n = 6, m = 9, total = 6 x 5 = 54
The new number = 54 - 40 = 14
Answer: The new value is 14.
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