𝝈^𝟐 = 𝛴(𝑥 − 𝜇)^2 / 𝑁

The values of the variance and the standard deviation are never negative

Calculating Mean for Grouped Data
Mean for population data: 𝜇 =Σ𝑚f / N

mean =

VARIANCE AND STANDARD DEVIATION FOR GROUPED DATA
𝝈^𝟐 =𝜮𝒇(𝒎−𝝁)^𝟐 /𝑵

Chebyshev's theorem : gives a ......... bound for the area under a curve between ........ points that are on opposite sides of the mean and at the same distance from the mean.

Chebyshev'sTheorem : For any number 𝑘 Smaller than 1

Chebyshev'sTheorem = (1 − 1/𝑘^2)

empirical rule applies only to a specific type of distribution called a bell - shaped distribution

The 𝒛 score corresponding to a particular value is

measure of position determines the position of a multi value in relation to other values in a sample or a population data set.

Quartiles are the summary measures that divide a ranked data set into four equal parts.

Calculating Interquartile Range

Box-and-Whisker Plot :A plot that shows the center, spread, and skewness of a data set

It is constructed by drawing a box and two whiskers that use the mean

Scatterplots are created to examine these relationships graphically

The correlation coefficient is a measure of nonlinear association between two variables

A scatterplot is a tree of two continuous variables.