What is the standard deviation of the numbers 1, 2, 3, 4, 5?

What is the standard deviation of the numbers 1, 2, 3, 4, 5?

• A. Standard Deviation = 1.0
• B. Standard Deviation = 1.41
• C. Standard Deviation = 2.5
• D. Standard Deviation = 1.5

Answer: (B)

To find the standard deviation of the numbers \(1, 2, 3, 4, 5\), we first need to calculate the mean (average) of the numbers. The mean is given by: \[ \text{Mean} = \frac{1 + 2 + 3 + 4 + 5}{5} = \frac{15}{5} = 3 \] Next, we find the variance, which is the average of the squared differences from the mean. We will calculate each squared difference: - For \(1\): \((1 - 3)^2 = (-2)^2 = 4\) - For \(2\): \((2 - 3)^2 = (-1)^2 = 1\) - For \(3\): \((3 - 3)^2 = (0)^2 = 0\) - For \(4\): \((4 - 3)^2 = (1)^2 = 1\) - For \(5\): \((5 - 3)^2 = (2)^2 = 4\) Now, we sum these squared differences: \[ 4 + 1 + 0 +

To find the standard deviation of the numbers (1, 2, 3, 4, 5), we first need to calculate the mean (average) of the numbers. The mean is given by:

[

\text{Mean} = \frac{1 + 2 + 3 + 4 + 5}{5} = \frac{15}{5} = 3

]

Next, we find the variance, which is the average of the squared differences from the mean. We will calculate each squared difference:

• For (1): ((1 - 3)^2 = (-2)^2 = 4)

• For (2): ((2 - 3)^2 = (-1)^2 = 1)

• For (3): ((3 - 3)^2 = (0)^2 = 0)

• For (4): ((4 - 3)^2 = (1)^2 = 1)

• For (5): ((5 - 3)^2 = (2)^2 = 4)

Now, we sum these squared differences:

[

4 + 1 + 0 +