A diver records the depths, in feet, of her dives. They are: 60, 58, 53, 49, 60 The mean of the data set is 56. Use the equation for variance below, along with the given data set, to answer the following questions. equation for variance What does the numerator evaluate to? What does the denominator evaluate to? The variance equals:

Question

Londyn Banks

Mathematics

2 September, 02:41

A diver records the depths, in feet, of her dives. They are: 60, 58, 53, 49, 60 The mean of the data set is 56. Use the equation for variance below, along with the given data set, to answer the following questions. equation for variance What does the numerator evaluate to? What does the denominator evaluate to? The variance equals:

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Brighton · Answer 1

From the given set of dа ta:

60, 58, 53, 49, 60

the mean is 56

the variance will be found using the formula:

variance=[ Σ (x-μ) ²]/N

[Σ (x-μ) ²] = (60-56) ² + (58-56) ² + (53-56) ² + (49-56) ² + (60-56) ²

=16+4+9+49+16

=94

but N=5

thus

Variance=94/5=18.8