Question

If the mean of dataset A is 15, and the dataset is {x, y, z}, what is the value of x + y + z?

A) 3
B) 5
C) 15
D) 30
E) 45

Answer 1

The sum of the values x, y, and z in dataset A is 45, as the mean of the dataset is given as 15 and there are three items in the dataset. The correct option is E.

Step-by-step explanation:

If the mean of dataset A is 15, and the dataset is comprised of three values {x, y, z}, we can determine the sum of the values in the dataset as follows:

To calculate the mean, we add up all the numbers in the dataset and divide by the number of items in the set. The formula for the mean (μ) is expressed as μ = (x + y + z) / 3. Since we know the mean is 15, we can substitute into the formula:

15 = (x + y + z) / 3

To find x + y + z, we multiply both sides of the equation by 3:

3 * 15 = x + y + z

45 = x + y + z

Thus, the value of x + y + z is 45, which corresponds to option E.