Question

The following table shows the probability of rolling the numbers 1 through 6 on a fair die.

Answer 1

Answer:

it was C.! for APEX

Step-by-step explanation:

Answer 2

First of all find the mean that is:

Mean = (1+2+3+4+5+6)/6 = 3.5

1) Draw a frequency distribution table as shown here below


X                X - Mean      (X-Mean)²


1                1-3.5                 (-2.5)²
2                2-3.5                 (-1.5)²
3                3-3.5                 (-0.5)²
4                4-3.5                 (0.5)²
5                5-3.5                 (1.5)²
6                6-3.5                 (2.5)²
---              -------              -------------
∑=21         ∑=0                ∑ = 17.5  Note than the number of classes is n= 6

Variance  = σ² = 17.5/6 = 2.917

Standard deviation = √σ²  = √2.917==> σ =1.708 (answer C)