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 ,…
Month: August 2014
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…
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