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.