Question

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Answer 1

23

Data is:

• 5, 6, 7

Mean:

• (5 + 6 + 7)/3 = 6

Standard deviation:

• σ =
  `√(((5 - 6)^2+(6-6)^2+(7-6)^2)/3) = √(2/3)`

Correct choice is d

24

Data is:

• -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Mean:

• (-5 -4 - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 + 5)/11 = 0

Standard deviation:

• σ =
  `√(((-5)^2+(-4)^2+(-3)^2+(-2)^2+(-1)^2+0^2+1^2+2^2+3^2+4^2+5^2)/11) = √(10)`

Correct choice is d

25

Data is:

• 3, 4, 5, 6, 7

Mean is:

• 5

Standard deviation:

• σ =
  `√(((3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2)/5) = √(2)` ≈ 1.4

Correct choice is d