Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below.

We have already the value of mean which is equal to 78. Then we can solve for the variance such as shown below:
Variance = (87-78)²+ (46-78)² + (90-78)² +(78-78)² + (89-78²) / 5
Variance = 274

The answer is 274.

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-02-22T05:48:28+01:00

Cara computes the variance for the set of the mean. Then the variance is 274.

What is a variance?

Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.

Variance is given by

[tex]\rm Var (X) = \dfrac{E[(x - \mu)^2]}{N}[/tex]

Where, [tex]\rm \mu = \ mean[/tex] and N be the number of observations.

Given

Cara computes the mean and variance for the sets 87, 46, 90, 78, and 89.

She finds the mean to be 78.

Then the variance will be

[tex]\rm Var(X) = \dfrac{(87 - 78)^2 + (46-78)^2+(90-78)^2+(78-78)^2+(89-78)^2}{5}\\\\ Var(X) = \dfrac{1370}{5}\\\\ Var(X) = 274[/tex]

Thus, the variance is 274.

More about the variance link is given below.

https://brainly.com/question/7635845