Find the variance for the given data.
(-2, -2, 11, -7, 3)
First, find the mean of these scores. Then find the deviation of each score from the mean and square each one. Sum these up and divide by the number of scores to obtain the variance.
I hope this helps. Thanks for asking.
Is it 46.3?
To find the variance for the given data, follow these steps:
Step 1: Calculate the mean (average) of the data.
To do this, add up all the numbers and then divide the sum by the total count.
(-2 + -2 + 11 + -7 + 3) / 5 = 3 / 5 = 0.6
Step 2: Calculate the difference between each data point and the mean.
Subtract the mean from each data point. In this case, subtract 0.6 from each number:
-2 - 0.6 = -2.6
-2 - 0.6 = -2.6
11 - 0.6 = 10.4
-7 - 0.6 = -7.6
3 - 0.6 = 2.4
Step 3: Square each of the differences.
Take each difference from step 2 and square it:
(-2.6)^2 = 6.76
(-2.6)^2 = 6.76
(10.4)^2 = 108.16
(-7.6)^2 = 57.76
(2.4)^2 = 5.76
Step 4: Calculate the sum of the squared differences.
Add up all the squared differences from step 3:
6.76 + 6.76 + 108.16 + 57.76 + 5.76 = 185.2
Step 5: Calculate the variance.
To calculate the variance, divide the sum of squared differences from step 4 by the total count of data points:
185.2 / 5 = 37.04
Therefore, the variance for the given data (-2, -2, 11, -7, 3) is 37.04.