Question

What is the variance of the following data? If necessary, round your answer to two decimal places.
46, 53, 38, 67, 46, 57, 61, 42, 63, 55, 46

Answer 1

The data is 46, 53, 38, 67, 46, 57, 61, 42, 63, 55, 46.

Find the mean :  Add the data and divide by the number of items.

Variance Formula:

(46-52.18)² = 38.1924,

(53-52.18)² = 0.6724,

(38-52.18)² = 201.0724,

(67-52.18)² = 219.6324,

(46-52.18)² = 38.1924,

(57-52.18)² = 23.2324,

(61-52.18)² = 77.7924,

(42-52.18)² = 103.6324,

(63-52.18)² = 117.1724,

(55-52.18)² = 7.9524,

(46-52.18)² = 38.1924.

Total             = 865.7364

The variance is 78.7.