Question

This table presents recorded values and their total observations for standard deviation calculation.

Value 4 5 6
Total Observations 1 3 1
Calculate the standard deviation of the data set. Round the answer to the nearest hundredth.

(1 point)

5.00

0.25

0.63

0.50

Answer 1

Data: 4, 5, 5, 5, 6 (n = 5). Mean = (4+5+5+5+6)/5 = 5.

Squared deviations: (4−5)^2 = 1, three times (5−5)^2 = 0, (6−5)^2 = 1. Sum = 2.

Population variance = 2/5 = 0.4. Standard deviation = sqrt(0.4) ≈ 0.63246 ≈ 0.63.

Answer: 0.63.