Calculate the standard deviation and mean diameter of the circles. [Hint first make the data continuous by making the classes as \[32.5-36.5,36.5-40.5,40.5-44.5,44.5-48.5,48.5-52.5\] and then...

### Find the mean, variance and standard deviation using short-cut method

Solution:- Let us consider assumed mean, A = \[92.5\] and h = \[5\] Draw the table of the given data and append other columns after calculations. Mean,...

### Find the mean and variance for the following frequency distributions

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and variance for the following frequency distributions

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and variance for each of the data

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and variance for each of the data

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and variance for each of the data First

multiples of

Solution:- Let us take \[10\] multiples of \[3\] are \[3,6,9,12,15,18,21,24,27,30\] We know that Mean = \[\bar{X}=\sum\limits_{i=1}^{a}{{{x}_{i}}}\]...

### Find the mean and variance for each of the data First n natural numbers

Solution:- As Mean = Sum of all observations/Number of observations ∴Mean, \[\bar{X}=((n(n+1))2)/n\] = \[(n+1)/2\] and also for Variance, \[{{\sigma...

### Find the mean and variance for each of the data.

Solution:- Given \[6,7,10,12,13,4,8,12\] Mean = \[\bar{X}\]= \[\frac{1}{n}\sum\limits_{i=1}^{a}{{{x}_{i}}}\](n=number of observation) \[\sum\limits_{i=1}^{a}{{{x}_{i}}}\]= sum of total observation...