Calculate the variance for the data set: 12, 15, 18, 20, 22
Question
Calculate the variance for the data set: 12, 15, 18, 20, 22
Solution
Sure, here are the steps to calculate the variance for the data set: 12, 15, 18, 20, 22.
Step 1: Calculate the Mean (Average) Add up all the numbers and then divide by the number of numbers. (12 + 15 + 18 + 20 + 22) / 5 = 17.4
Step 2: Subtract the Mean and square the result (the squared difference). (12-17.4)² = 29.16 (15-17.4)² = 5.76 (18-17.4)² = 0.36 (20-17.4)² = 6.76 (22-17.4)² = 21.16
Step 3: Work out the average of those squared differences. (29.16 + 5.76 + 0.36 + 6.76 + 21.16) / 5 = 12.64
So, the variance of the data set 12, 15, 18, 20, 22 is 12.64.
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