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Statistics Calculator
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Statistics calculator is an important online statical calculator which helps to do the fundamental calculation in an easy manner. Statistics calculator is a simple calculator and its a great tool for the students. Fundamental measurements means the calculator for mean, median, mode, standard deviation,variance etc. The equation for each measure is given in the following section.

 

Steps for Statistics Calculator

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Step 1 :  

Write down the observations from the question.




Step 2 :  

Determine the mean using the given formula.
$\bar{x}$=$\frac{x_{1}+x_{2}+x_{3}+.....+x_{n}}{n}$




Step 3 :  

Median is the middle value, when the observation is arranged some numeric order.




Step 4 :  

Mode is the repeated number in given observation.




Step 5 :  

Calculate the standard deviation and variance using the equation.



Standard deviation, $\sigma$ =$\sqrt{\frac{1}{n}\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}}$



Variance=$\sigma ^{2}$



Problems on Statistics Calculator

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  1. Calculate the fundamental statistical measurements of the following data.

    11,18,14,8


    Step 1 :  

    Given observation is


    11,18,14,8



    Step 2 :  

    Mean is given by,


    $\bar{x}$=$\frac{x_{1}+x_{2}+x_{3}+.....+x_{n}}{n}$


    $\bar{x}$=$\frac{11+18+14+8}{4}$=12.75



    Step 3 :  

    Rearranging the given observation,


    8,11,14,18


    Median is given as 12.5



    Step 4 :  

    Since there is no repeated terms, no mode value is present.



    Step 5 :  

    Standard deviation is given by the equation,


    $\sigma$ =$\sqrt{\frac{1}{n}\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}}$


     


    $\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}$=(8-12.75)2+(11-12.75)2+(14-12.75)2+(18-12.75)2=54.75




    $\sigma$ =$\sqrt{\frac{1}{4}×54.75}$=3.6996




    Variance=$\sigma ^{2}$=$3.6996 ^{2}$=13.6875



    Answer  :  

    Mean=12.75

    Median=12.5

    No mode

    Standard deviation, $\sigma$ =3.6996
     

    Variance=13.6875



  2. Find out the fundamental statistical measure of the following observation.

    14,8,6,13,6


    Step 1 :  

    Given observation is,


    14,8,6,13,6



    Step 2 :  

    Mean is given by,


    $\bar{x}$=$\frac{x_{1}+x_{2}+x_{3}+.....+x_{n}}{n}$


    $\bar{x}$=$\frac{14+8+6+13+6}{5}$=9.4



    Step 3 :  

    Rearranging the given observation,


    6,6,8,13,14


    Median is given as 8



    Step 4 :  

    Repeating terms gives the mode value.


    So, mode=6



    Step 5 :  

    Standard deviation is given by the equation,


    $\sigma$ =$\sqrt{\frac{1}{n}\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}}$


     


    $\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}$=(6-9.4)2+(6-9.4)2+(8-9.4)2+(13-9.4)2+(14-9.4)2=59.2




    $\sigma$ =$\sqrt{\frac{1}{5} \times 59.2 }$=3.4409




    Variance=$\sigma^{2}$=$3.4409^{2}$=11.84



    Answer  :  

    Mean=9.4

    Median=8


    Mode=6
     

    Standard deviation, $\sigma$ =3.4409
     

    Variance=11.84



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