What would the variance be for the following data? 10, 19, 15, 20, 21, 11
A) 16.00
B) 21.30
C) 22.40
D) 24.56

Question

Quizplus · Accepted Answer

1. Find the mean: (10+19+15+20+21+11)/6 = 16 
2. Calculate each deviation from the mean: (-6, 3, -1, 4, 5, -5) 
3. Square each deviation: (36, 9, 1, 16, 25, 25) 
4. Sum the squared deviations: 102 
5. Divide by the number of data points: 102/6 = 17 
Therefore, the variance is 17, and the closest choice to 17 is C (22.40).

What Would the Variance Be for the Following Data? 10