Calculate standard-deviation-of-2_-4_-4_-4_-5_-5_-7_-9
Calculate mean, median, mode, standard deviation, variance and more — step by step.
To find the population standard deviation of 8 values, follow the step-by-step solution below.
Mean = (-2 + -4 + -4 + -4 + -5 + -5 + -7 + -9) ÷ 8
= -40 ÷ 8 = -5
For each value, subtract the mean and square the result:
(-2 − -5)2 = (3)2 = 9
(-4 − -5)2 = (1)2 = 1
(-4 − -5)2 = (1)2 = 1
(-4 − -5)2 = (1)2 = 1
(-5 − -5)2 = (0)2 = 0
(-5 − -5)2 = (0)2 = 0
(-7 − -5)2 = (-2)2 = 4
(-9 − -5)2 = (-4)2 = 16
Variance = (9 + 1 + 1 + 1 + 0 + 0 + 4 + 16) ÷ 8
= 32 ÷ 8 = 4
The standard deviation is the square root of the variance:
σ = √4 = 2.0
Standard deviation (σ) = 2.0
How to calculate standard-deviation-of-2_-4_-4_-4_-5_-5_-7_-9
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_-4_-4_-5_-5_-7_-9?
The answer is 2.0.
What method is used?
Statistical functions like mean, median, mode, and standard deviation summarize a dataset into a single representative value.