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)

0.25

0.50

0.63

5.00

Answer 1

Mean = (4 + 5+5+5 + 6)/5 = 25/5 = 5.
Squared deviations: (4−5)^2 + 3*(5−5)^2 + (6−5)^2 = 1 + 0 + 1 = 2.
Population variance = 2/5 = 0.4. Standard deviation = sqrt(0.4) ≈ 0.6324555 ≈ 0.63.

Answer: 0.63.