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Essay about Introduction for Learn Formula for Standard Deviation

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Introduction for learn formula for standard deviation: In Statistics, the standard deviation is named as the determination of indecision of a chance variable, expressed as the average deviation of a group of data from its arithmetic mean and planned as the positive square root of the inconsistency. In this article we are discussing about learn formula for standard deviation problems.
The following formula for solving standard deviation. S = sqrt ((sum(X –M)^2)/N-1)) M – Mean of given values. N – Total number of values. X – Specified value.

Example problems for learn formula for standard deviation:
Learn formula for standard deviation – Example 1
Find the standard deviation for …show more content…

Solution:
(i) Find the mean and deviation for the given values. X = 32, 40, 25, 30, 26 and 39. M = (32 + 40 + 25 + 30 + 26 + 39)/ 6 = 192/6 = 32
(ii) Then we can find the sum of (X - M) 2
X X-M (X-M)2
32 32-32 = 0 0
40 40-32 = 8 64
25 25-32 =-7 49
30 30-32 =-2 4
26 26-32 =-6 36
39 39-32= 7 49 Total 202 N = 6 is the total number of given values. Then N-1 = 6 - 1 = 5
(iii) Apply values in standard deviation formula: S = sqrt ((sum(X –M)^2)/(N-1)) = sqrt (202)/sqrt (5) = 14.21/2.23 = 6.37 The answer is: 6.37
Learn formula for standard deviation - Example 3
Solve the standard deviation for the values 41, 39, 30, 32 and 28.
Solution:
(i) Find the mean and deviation for the given values. X = 41, 39, 30, 32 and 28. M = (41 + 39 + 30 + 32 + 28)/5 = 170/5 = 34
(ii) Then we can find the sum of (X - M) 2
X X-M (X-M)2
41 41-34 = 7 49
39 39-34 = 5 25
30 30-34 = -4 16
32 32-34 = -2 4
28 28-34 = -6 36 Total

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