Combined arithmetic mean can be computed if we know the mean and number of items in each group of the data.

**Combined
Mean and Combined Standard Deviation**

Combined arithmetic mean can be computed if we know the mean and
number of items in each group of the data.

1,2, , σ_{1}, σ_{2} are mean and
standard deviation of two data sets having*
n*_{1}* *and* n*_{2}* *as* *number of elements
respectively.

From the analysis of monthly wages paid to employees in two
service organizations *X *and* Y*, the following results were obtained

i. Which organization pays a larger amount as monthly wages?

ii. In which organization is there greater variability in
individual wages of all the wage earners taken together?

i. For finding out which organization *X* or *Y* pays larger amount of monthly wages, we have to compare the total wages:

Total wage bill paid monthly by *X* and *Y* is

Organization Y pays a larger amount as monthly wages as compared to organization X.

ii. For calculating the combined variance, we will first
calculate the combined mean

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

11th Statistics : Chapter 6 : Measures of Dispersion : Combined Mean and Combined Standard Deviation |

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