Question

Given the data from problem 9 (sample data: 325, 355, 392, 410, 435), find the sum of the

Answer 1

Using it's formula, the sum of the squared deviations of the data-set is of SS = 7661.2.

What are the mean and the sum of the squared deviations of a data-set?

• The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

• The sum of the squared deviations of a data-set is given by the sum of the differences squared between each observation and the mean.

For this problem, the data-set containing 5 observations is:

325, 355, 392, 410, 435

Hence the mean, applying it's concept, is given by:

M = (325 + 355 + 392 + 410 + 435)/5 = 383.4.

Hence the sum of the squared deviations, also applying it's concept, is found as follows:

SS = (325 - 383.4)² + (355 - 383.4)² + (392 - 383.4)² + (410 - 383.4)² + (435 - 383.4)²

SS = 7661.2.

More can be learned about the sum of the squared deviations of a data-set at brainly.com/question/3511430

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