True or False? The first distribution shown below has a smaller standard deviation than does the second distribution. A) 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. B) 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122

Distribution A:

X m = (11 + 12 + 13 + 14 + ... + 22) : 12 = 198 : 12 = 16.5

s² (A) = (5.5² + 4.5² + 3.5² + ... + 3.5² + 4.5² + 4.5²) / 11

Distribution B:

X m = (111 + 112 + 113 + ... + 122) : 12 = 1398 : 12 = 116.5

s² (B) = (5.5² + 4.5² + 3.5² + ... + 3.5² + 4.5² + 5.5²) / 11

s² (A) = s² (B)

s (A) = s (B) - standard deviations are the same.

Answer: False.