Calculate standard-deviation-of-10_-12_-14_-16_-18

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 = (-10 + -12 + -14 + -16 + -18) ÷ 5

= -70 ÷ 5 = -14

Step 2 — Find the squared deviations from the mean

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

(-10 − -14)2 = (4)2 = 16

(-12 − -14)2 = (2)2 = 4

(-14 − -14)2 = (0)2 = 0

(-16 − -14)2 = (-2)2 = 4

(-18 − -14)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-10_-12_-14_-16_-18

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-10_-12_-14_-16_-18?
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.

More statistics calculator problems
Similar problems
Related calculators