Answer:
8.35
Step-by-step explanation:
Mean=(22.6+16.1+36.1+36+23.8+20.3)/6
Mean=25.82
Subtract the mean from each data point and add their squared values
∑(x-mean)²
=(22.6-25.82)²+(16.1-25.82)²+(36.1-25.82)²+(36-25.82)²+(23.8-25.82)²+(20.3-25.82)²
=348.71
N = Number of observations = 6
[tex]Standard\ Deviation=\sqrt{\frac{\sum _{i=1}^{N}(x_i-mean)}{N-1}}[/tex]
∴ Standard deviation=√(348.71/6-1)
∴ Standard deviation=8.35
