Showing posts with label Statistics. Show all posts
Showing posts with label Statistics. Show all posts

24 July 2014

Relative Standard Deviation (RSD) Calculator

About This Tool:

The online Standard Deviation Calculator tool is used to calculate the relative standard deviation (RSD) for set of numbers varying absolute magnitude.

Relative Standard Deviation:

In probability theory, the relative standard deviation (RSD) is the absolute value of the coefficient of variation. The RSD is calculated from the standard deviation, and it is often expressed as a percentage.

Formula:

The following is the relative standard deviation calculation formula,
Relative Standard Deviation Formula

Where,
s : standard deviation
x̄ : mean value of sample data set
x1, xN : the sample data set
N : size of the sample data set
RSD : relative standard deviation

Relative Standard Deviation Calculator

Enter the Numbers Separated by (,)
Total Numbers:
Mean (Average):
Sample Variance (s2):
Population Standard Deviation (σ):
Sample Standard Deviation (s):
Relative Standard Deviation (RSD): %



6 June 2013

T Test Calculator

T Test Calculator:

Definition of 'T-Test'
The t-test is a statistical test that is used to determine if there is a significant difference between the mean or average scores of two groups and is commonly used when the variances of two normal distributions are unknown and when an experiment uses a small sample size.
T-Test formula:
T Test formula

W
here,
  • x1 is the mean of first data set
  • x2 is the mean of first data set
  • S12 is the standard deviation of first data set
  • S22 is the standard deviation of first data set
  • N1 is the number of elements in the first data set
  • N2 is the number of elements in the first data set

T Test Calculation
Note: Enter the Numbers with Comma separated [,]
Enter the first set of values:
Enter the second set of values:
Result:
Mean of First Set:
Mean of Second Set:
Standard Deviation of First Set:
Standard Deviation of Second Set:
T Test Value:

2 June 2013

Mean Median Mode Calculator

Mean, Median, Mode Calculator

Free online statistics calculator for calculate Mean, Median, Mode, Average, Variance and Range for the given set of numbers.
Mean:
The mean is the arithmetic average of a data set, computed by adding up a collection of numbers and dividing by their count.

Median:
The median is the middle data value of a set of values when the data have been arranged into order. If there is an even number of data, then there is no single middle value; the median is then usually defined to be the mean of the two middle values.

Mode:
The mode is the most frequently occurring value in a data set. The mode is not necessarily unique, since the same maximum frequency may be attained at different values.

Mean, Median, Mode Calculator

Type the input numbers with comma separated - Example: 1,5,9,6,7,8




Results:
Total Numbers:
Ascending Order:
Mean:
Median:
Mode:



How to find the mean?
Count the number N of data points in your data set.
Sum up the total of your data set; add them all together.

Average = Mean = Sum/N.

How to find the median?
For the data set 1,5,9,6,7,8,7 the median is 6.
For the data set 1,5,2,6,7,8 the median is 5.5. : (5+6)/2 = 5.5.

How to find the Mode?
For the data set 1,5,2,6,7,8 the Mode is 6.

12 May 2013

Probability Calculator | Single Event and Multiple Event Probability Calculator

Online probability calculator. Solve single and multiple event probability. Probability calculator to calculates single event and multiple event probabilities with definition, formula and examples.

Probability Definition:-
Probability is an estimation or a measure of how likely it is that something will happen or that a statement is true. Probabilities are given a value between 0 (0% chance or will not happen) and 1 (100% chance or will happen).

Single Event Probability Calculator
Number of possible outcomes:
Number of events occured:
 
Probability of event that occurs P(A):
Probability of event that does not occurs P(A'):

Formula:-

Probability of event A that occurs P(A) = n(A) / n(S)
Probability of event A that does not occur P(A') = 1 - P(A)

Where,
n(A) = number of occurrence in Event A,
n(S) = total number of possible outcomes.

Note : (No. Possible Outcomes > No. Events Occured)
Multiple Event Probability Calculator
Number of possible outcomes:
Number of event occurs in A:
Number of event occurs in B:
 
P(A):
P(A'):
P(B):
P(B'):
P(A ∩ B):
P(A ∪ B):
P(A | B):

Formula :

Probability of event A that occurs P(A) = n(A) / n(S)
Probability of event A that does not occur P(A') = 1 - P(A)
Probability of event B that occurs P(B) = n(B) / n(S)
Probability of event B that does not occur P(B') = 1 - P(B)
Probability that both the events occur P(A ∩ B) = P(A) x P(B)
Probability that either of event occurs P(A U B) = P(A) + P(B) - P(A ∩ B)
Probability that either of event occurs P(A | B) = P(A ∩ B)/P(B)

Where,
If P(B) = 0 then P(A | B) is undefined.

If two events are mutually exclusive
P(A U B) = P(A) + P(B)

If the events are not mutually exclusive then
(A U B) = P(A) + P(B) - P(A n B)

Note : (Possible outcomes > A and B event occurs)


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