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
= 36 ÷ 8 = 92
For each value, subtract the mean and square the result:
(-2 − 92)2 = (-132)2 = 1694
(4 − 92)2 = (-12)2 = 14
(4 − 92)2 = (-12)2 = 14
(4 − 92)2 = (-12)2 = 14
(5 − 92)2 = (12)2 = 14
(5 − 92)2 = (12)2 = 14
(7 − 92)2 = (52)2 = 254
(9 − 92)2 = (92)2 = 814
Variance = (1694 + 14 + 14 + 14 + 14 + 14 + 254 + 814) ÷ 8
= 70 ÷ 8 = 354
The standard deviation is the square root of the variance:
σ = √354 = 2.95804
Standard deviation (σ) = 2.95804
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 2.95804.
What method is used?
Statistical functions like mean, median, mode, and standard deviation summarize a dataset into a single representative value.