Find the mean, the variance, and the standard deviation of...

Find the mean, the variance, and the standard deviation of the following data sets:
(a) $1.1,1.3,1.5,1.55,1.6,1.9,2,2.1$; (b) $2 ., .9, .7,1.5,2.6,3, .8,1.4$; (c) $-2.9,-.5, .1,-1.5$, $-3.6,1.3, .4,-.7$; (d) $1.1, .2, .1, .6,1.3,-4,-.1, .4 ;$ (e) $.9,-.4,-.8, . .1 .,-1.6,-1.2,-.7$.

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Key Concepts

Mean

The mean is a measure of central tendency that represents the average of a data set. It is calculated by summing all the numbers in the data set and then dividing the total by the count of the numbers. This provides a single value that summarizes the typical value in the distribution.

Variance

Variance quantifies the spread or dispersion of a data set by measuring the average squared deviation of each data point from the mean. It gives insight into how much the data points differ from the mean on average, with higher values indicating greater variability.

Standard Deviation

Standard deviation is a measure of dispersion that represents the average distance of the data points from the mean. It is obtained by taking the square root of the variance, thereby converting the spread back into the original units of the data. It offers an easily interpretable gauge of variability in the data set.

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