The standard deviation is 22.617.
what is standard deviation?
Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics. It tells how the values are spread across the data sample and it is the measure of the variation of the data points from the mean. The standard deviation of a sample, statistical population, random variable, data set, or probability distribution is the square root of its variance.
Steps to Calculate Standard Deviation
- Find the mean, which is the arithmetic mean of the observations.
- Find the squared differences from the mean. (The data value - mean)^2
- Find the average of the squared differences. (Variance = The sum of squared differences ÷ the number of observations)
- Find the square root of variance. (Standard deviation = √Variance)
Given:
359, 320, 365, 310, 349, 351, 310, 314, 364
SD= √(359 - 338)² + ... + (364 - 338)²/9
SD= √4604/9
SD= √511.55555555556
SD= 22.617
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