Answer:
(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714
Using it's concept, it is found that the variance of the given data-set is of 17.14.
It is the sum of the differences squared betweene each observation and the mean, divided by the number of values.
The mean of the given data-set is given by:
M = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
Hence, the variance is given by:
V = [(3-8)² + (4-8)² + (5-8)² + (7-8)²+ (10-8)² + (12-8)² + (15-8)²]/7 = 17.14.
More can be learned about the variance of a data-set at https://brainly.com/question/25639778
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