What is the standard deviation of the following set of data? 18, 14, 12, 16, 22, 26
A) 4.8
B) 18
C) 22.7
D) 136

Question

Quizplus · Accepted Answer

1. Find the mean: (18 + 14 + 12 + 16 + 22 + 26) ÷ 6 = 18
2. Subtract the mean from each value and square the result:
(18-18)² + (14-18)² + (12-18)² + (16-18)² + (22-18)² + (26-18)² 
= 0² + (-4)² + (-6)² + (-2)² + 4² + 8²
= 0 + 16 + 36 + 4 + 16 + 64 = 136
3. Divide the sum by the number of values and take the square root:
√(136 ÷ 6) ≈ 4.8

What Is the Standard Deviation of the Following Set of Data