MEAN ,MEDIAN , MODE CALCULATOR.

sonjukta
MEAN MEDIAN MODE CALCULATOR
Sample Calculation
Smallest9
Largest20
Sum145
Mean(Avarage)14.5
Median15.5
Count10
Standard Deviation3.2939338184001
Variance10.85
Range11
Mode16 appears 3 times
Sample Standard Deviation3.4721111093333
Geometric Mean14.099771727092
Sample Variance12.055555555556
Sorted Array9, 10, 12, 13, 15, 16, 16, 16,18, 20
Enter Data Set
comma separated dataset ie :12,12,14,15,8
Smallest0
Largest0
Sum0
Mean(Avarage)0
Median0
Count0
Standard Deviation0
Variance0
Range0
Mode0
Sample Standard Deviation0
Geometric Mean
Sample Variance0
Sorted Array
Mean, median and mode are all measures of central tendency in statistics. In different ways they each inform what value in a data set is typical or representative of the data set. The minimum value of a sorted dataset. When a dataset is a calculated , the dataset is sorted either ascending or descending manner.
  • The minimum is called smallest and maximum is called Largest.
  • Sum is the addition of all values provided in a set.
  • Count is how many value is there in a set.
  • Range is the difference between smallest and highest value in a sorted dataset.
  • Sorted Array is visual display of sorted dataset . It is generally sorted according order. For example a dataset is 12,12,14,15,8 , then the Sorted Array will be 8 , 12,12,14,15.
 
MEAN – average value of the data set, the formula for mean is
Mean Calculation formula
In statistics, the Mode is the value that has most appearance in a set of data values. For example , a set of data 10, 12, 11, 10, 15, 20, 19, 21, 11, 9, 10 , the mode is "10 occures 3 times". Mode can be multiple , if multiple values has highest occurance , follow the below set of data 2,3,4,4,4,4,5,5,6,7,7,8,9,9,9,9,10,11,12,12.The mode is 4 occures 4 times, 9 occures 4 times.
Standard Deviation In statistics, the standard deviation is a kind of measurement that the amount of variation or dispersion of a set of values. Low standard deviation tells that the values tend to be close to the mean (i,e expected value),High standard deviation indicates that the values are spread out over a wide range.
 
Standard Deviations are of two types , standard deviation and sample standard deviation. During calculating the population standard deviation, we divide by n, the number of data values. For calculating the sample standard deviation, we divide by n -1.
Variance- refers to a statistical measurement of the spread between numbers in a data set. The square root of the variance is the standard deviation.
For a Population Varience Population
For a Sample Varience Sample
Sample variance (s2) is a measure of the degree to which the numbers in a list are spread out. The sample variance is the average of the squared differences from the mean found in a sample.
Sample Varience
 
Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers.
MEAN MEDIAN MODE CALCULATOR is one man effort , if you notice any error , mistake ,please let me inform.Your suggestions are also Wellcome.