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x_{i} = All given values

μ = Mean of all the values

N = number of values

σ = Standard deviation

μ = Mean of all the values

N = number of values

σ = Standard deviation

If x is a random variable, with mean μ = E[x]

Example 1: Six students from a class weigh 53 kg, 63kg, 92kg, 43kg, 39kg, and 64kg. Find the Standard Deviation (Round of to two decimal places).

Answer:

Step 1: Find Mean for the given data

Step 2: Find the variance, σ²

Step 3: Find the standard deviation, σ