Standard Deviation of Heights

In a statistical study, the heights (in centimeters) of a sample of 10 individuals are recorded as follows: 150, 160, 165, 170, 175, 180, 185, 190, 195, 200.

Using this sample data, you are required to calculate the standard deviation of the heights. Standard deviation (SD) measures the amount of variation or dispersion from the mean. The formula for standard deviation is:

$$ SD =\frac{ ext{sqrt} igg(\frac{ ext{sum}((x_i - ar{x})^2)}{N}igg)}{N} $$

where:

• $x_i$ = each value in the dataset
• $ar{x}$ = mean of the dataset
• $N$ = number of values in the dataset

What is the standard deviation of the heights in this sample?