Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².
What is the variance of a data-set?
The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
The mean is the sum of all observations divided by the number of observations, hence:
M = (145 + 175 + 180 + 205 + 120)/5 = 165.
And the variance, in lbs squared, is given by:
V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.
More can be learned about the variance at https://brainly.com/question/25639778
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