Standard deviation Used to describe the distribution of data. The bigger spread of data, the higher

Question

Standard deviation Used to describe the distribution of data. The bigger spread of data, the higher the deviation. Formula to find mean of a set of data Ungrouped Data: $\bar{x} = \frac{\sum x}{n}$ Grouped Data: $\frac{\sum fx}{\sum f}$ Formula to find standard deviation $\sqrt{\frac{\sum x^2}{n} - \bar{x}^2} \quad \text{or} \quad \sqrt{\frac{\sum(x - \bar{x})^2}{n}}$ Example: Find the mean and standard deviation for the following set of data. $2 \qquad 3 \qquad 3 \qquad 4 \qquad 6 \qquad 7 \qquad 8 \qquad 9 \qquad 9$

Accepted Answer

Mean $\frac{17}{3}\approx5.67$; standard deviation $\sqrt{\frac{20}{3}}\approx2.58$.

Formula to find mean of a set of data
Ungrouped Data:	\(\bar{x} = \frac{\sum x}{n}\)
Grouped Data:	\(\frac{\sum fx}{\sum f}\)

Mean and Standard Deviation of Ungrouped Data

Mean and Standard Deviation of Ungrouped Data

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