Question
Download Solution PDFIn a given score distribution of 12, 14, 16, 18 and 20 , the sum of square deviation is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe mean of the scores 12, 14, 16, 18, and 20 is 16.
The square of the difference between each score and the mean is:
- (12 - 16)^2 = 16
- (14 - 16)^2 = 4
- (16 - 16)^2 = 0
- (18 - 16)^2 = 4
- (20 - 16)^2 = 16
The sum of these squares is 40.
Therefore, the sum of the square deviation for the given score distribution is 40.
Here is the solution in mathematical form:
Where:
- x is a score
- μ is the mean
- Σ is the sum
In this case, the sum of the square deviation is:
Last updated on Jul 4, 2025
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