Standard deviation is a measure of spread of numbers in a set of data from its mean value. Use our online standard deviation calculator to find the mean, variance and arithmetic standard deviation of the given numbers.

Standard deviation is a measure of spread of numbers in a set of data from its mean value. Use our online standard deviation calculator to find the mean, variance and arithmetic standard deviation of the given numbers.

Blackjack house edge calculator. This calculator returns the house edge and standard deviation per hand for the programmed set of blackjack rules. Select the default rules (the top bubble), if you are uncertain which rule is used in the blackjack game. The color-coded charts on the right calculate and display the results graphically, giving the familiar hit-stand tables that you see in all good blackjack books. Double: This sheet calculates the expected return of doubling-down for each possible player total. 'Expected return' means your average win or loss on a $2 bet, given that you hit that.

Calculator

Formula :

Mean :Mean = Sum of X values / N(Number of Values)
Variance : Variance = s2
Sample Standard Deviation :
Population SD :
  1. This video shows a deviation expectation table for a blackjack card counter. The table is only a rough approximation of actual card counting play.
  2. The basic equation of figuring CE. EV-( (bet size.Standard Deviation)^2)/(2.Kelly factor.BR).Any easy way to think about the concept behind CE: “I could pay you $100 cash, or you could take a 50/50 chance at $200. What about a 50/50 chance at $101? 1/10 chance at $20,000? At some points, you will take the risk.

In statistics, Standard Deviation (SD) is the measure of 'Dispersement' of the numbers in a set of data from its mean value. This is represented using the symbol σ (sigma). The formula for the Standard Deviation is square root of the Variance. Here is a free online arithmetic standard deviation calculator to help you solve your statistical questions. This can also be used as a measure of variability or volatility for the given set of data. Enter the set of values in the online SD calculator to calculate the mean, standard deviation, variance and population standard deviation.

Example:

Consider a set X = {5,10,15,20,25}

Step 1 :

Mean = Sum of X values / N(Number of values)
= (5+10+15+20+25) / 5
= 75 / 5
= 15 Hence Mean = 15

Step 2 :

To find the variance,
Subtract the mean from each of the x values,
5-15 = -10
10-15 = -5
15-15 = 0
20-15 = 5
25-15 = 10
Now square all the answers you have got from subtraction.
(-10)2 = 100
(-5)2 = 25
(0)2 = 0
(5)2 = 25
(10)2 = 100
Add all the Squared numbers,
100 + 25 + 0 + 25 + 100 = 250
Divide the sum of squares by (n-1)
250 / (5-1) = 250 / 4 = 62.5
Hence Variance = 62.5

Step 3 :

Find the square root of variance,
√62.5 = 7.905
Hence Standard deviation is 7.905
To find minimum and maximum SD,
Minimum SD = Mean - SD
= 15 - 7.905
= 7.094
Maximum SD = Mean + SD
=15 + 7.905
= 22.906

Deviation

Step 4 :

To find the population SD,
Divide the sum of squares found in step 2 by n
250 / 5 = 50
Find the square root of 50, √50 = 7.07

Standard Deviation Calculator For Sample Data

Steps

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