AP ICET 2024 6th May 2024 Shift 1

The formula for the standard deviation σ of a data set x1,x2,...,xn is:
σ=√‌

1

n

‌

n

∑

i=1

(xi−µ)2,
where µ is the mean of the data set. First, find the mean:
µ=‌

2+4+6+8+10

5

=6.
Now, calculate the variance:
The standard deviation is the square root of the variance:
σ=√8=2√2.
Quick Tip
To calculate the standard deviation, first find the mean, then calculate the variance
by averaging the squared differences from the mean, and finally take the square
root.