## Standard Deviation for a grouped distribution

Standard Deviation for a grouped distribution   The standard deviation for a distribution with mean , where x is an interval midpoint with frequency f, and n = ∑f ,…

## Area Under a Normal Curve

Area Under a Normal Curve The area under a normal curve between x =  a and x = b is the same as the area under the standard normal curve…

## Mean and Standard Deviation for the Binomial Distribution

Mean and Standard Deviation for the Binomial Distribution   For the binomial distribution, the mean and standard deviation are given by µ = np and where n is the number…

## z- Score

z- Score If a normal distribution has mean µ and standard deviation , then the z-score for the number x is z = .   Example:- If a normal distribution…

## Standard Deviation

Standard Deviation   The standard deviation of the n numbers x, x, ,………..x, with mean , is S = .

## Variance

Variance   The variance of a sample of n numbers x1, x2,……..xn, which mean , is S2 =

## Deviations from the Mean

Deviations from the Mean   Find the deviations from the mean for the numbers 32, 41, 47, 53, 57.   Solution:- Adding these numbers and dividing by 5 given a…

## Range

Range The difference between the largest and smallest number in a sample is called the range.   Example:- Find the range for each list numbers. 12, 27, 6, 19, 38,…

## Mode

Mode The number occurs more often then any other, it is called mode.   Example:- 57, 38, 55, 80, 55, 87, 98   Solution:- The number 55 occurs more often…

## Median

Median Odd Number of Entries 8, 7, 4, 3, 1 The median is a middle term “4”.   Even Number of Entries 2, 3, 4, 7, 9, 12 The median…