Calculate standard-deviation-of-2,-4,-6,-8,-10

Calculate mean, median, mode, standard deviation, variance and more — step by step.

Data
Answer
2.828427

To find the population standard deviation of 5 values, follow the step-by-step solution below.

Step 1 — Find the mean

Mean = (-2 + -4 + -6 + -8 + -10) ÷ 5

= -30 ÷ 5 = -6

Step 2 — Find the squared deviations from the mean

For each value, subtract the mean and square the result:

(-2 − -6)2 = (4)2 = 16

(-4 − -6)2 = (2)2 = 4

(-6 − -6)2 = (0)2 = 0

(-8 − -6)2 = (-2)2 = 4

(-10 − -6)2 = (-4)2 = 16

Step 3 — Find the variance (mean of squared deviations)

Variance = (16 + 4 + 0 + 4 + 16) ÷ 5

= 40 ÷ 5 = 8

Step 4 — Take the square root

The standard deviation is the square root of the variance:

σ = 8 = 2.828427

Standard deviation (σ) = 2.828427

How to calculate standard-deviation-of-2,-4,-6,-8,-10

To find the result of the given data set, apply the statistical formula and follow the steps shown above.

This is a Statistics — statistical calculation

Frequently asked questions

What is the answer to standard-deviation-of-2,-4,-6,-8,-10?
The answer is 2.828427.

What method is used?
Statistical functions like mean, median, mode, and standard deviation summarize a dataset into a single representative value.

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