Question

# How would you find the Standard Deviation?

Binomial probability
How would you find the Standard Deviation?

2021-01-29
The Standard Deviation is a measure of how spread out numbers are.
This is the formula for Standard Deviation:
$$\displaystyle\sigma={\left(\frac{{1}}{{N}}{\sum_{{{i}-{1}}}^{{N}}}{\left({x}_{{i}}-\mu\right)}^{{2}}\right)}$$
Example:
we have a bunch of numbers like 9, 2, 5, 4, 12, 7, 8, 11.
To calculate the standard deviation of those numbers:
1. Work out the Mean (the simple average of the numbers)
2. Then for each number: subtract the Mean and square the result
3. Then work out the mean of those squared differences.
4. Take the square root of that.