Calculate standard-deviation-of-5_-10_-15

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

Data

Answer

4.082483

To find the population standard deviation of 3 values, follow the step-by-step solution below.

Step 1 — Find the mean

Mean = (-5 + -10 + -15) ÷ 3

= -30 ÷ 3 = -10

Step 2 — Find the squared deviations from the mean

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

(-5 − -10)² = (5)² = 25

(-10 − -10)² = (0)² = 0

(-15 − -10)² = (-5)² = 25

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

Variance = (25 + 0 + 25) ÷ 3

= 50 ÷ 3 = 503

Step 4 — Take the square root

The standard deviation is the square root of the variance:

σ = √503 = 4.082483

Standard deviation (σ) = 4.082483

How to calculate standard-deviation-of-5_-10_-15

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-5_-10_-15?
The answer is 4.082483.

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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