Question

What is the variance for the following population of scores? Scores: 2, 5, 6, 3

a.3.33
b.2.50
c.5
d.4

Answer 1

The variance for the given population of scores (2, 5, 6, 3) is calculated by finding the mean, computing the squared deviations from the mean, summing these, and dividing by the number of scores, which results in a variance of 2.50.

Step-by-step explanation:

To calculate the variance of the given population of scores (2, 5, 6, 3), we use the following steps:

1. Calculate the mean of the scores.
2. Subtract the mean from each score to find the deviation for each score.
3. Square each deviation.
4. Sum all the squared deviations.
5. Divide the sum by the number of scores in the population to get the variance.

Step 1: Mean = (2+5+6+3)/4 = 16/4 = 4

Step 2 & 3: Deviations squared = (2-4)² + (5-4)² + (6-4)² + (3-4)² = 4 + 1 + 4 + 1 = 10

Step 4 & 5: Variance = 10/4 = 2.5

The variance of these scores is 2.50, which corresponds to option b.