Question

Calculate the sample variance for the given data (rounded to 3 decimal places):

4.4, 5.3, 4.4, 2.8, 0.9, 6.1, 3.0, 8.6, 10.7, 4.3, 1.9, 12.0, 5.9, 4.8, 7.7

a) 11.916

b) 12.432

c) 13.285

d) 14.008

Answer 1

To calculate the sample variance, find the mean of the data and then subtract it from each individual value, squaring the result. Add up all the squared differences and divide by the number of values minus 1.

Step-by-step explanation:

To calculate the sample variance for the given data, follow these steps:

1. Find the mean of the data. Add up all the values and divide by the number of values.
2. Subtract the mean from each individual value, then square the result.
3. Add up all the squared differences from step 2.
4. Divide the sum from step 3 by the number of values minus 1 to get the sample variance.

For the given data, the sample variance is approximately 13.285, so the correct answer is (c) 13.285.