Continuous Series

Mean deviation formulas for continuous series are the same as those for discrete series. The mid-points of class intervals must be determined for the given continuous frequency distribution and are taken as ‘m’. A continuous series takes on the shape of a discrete series in this way. All of the discrete series’ steps are then applied after that.

Example: 

Calculate the mean deviation from the mean and median for the following data:

 

Solution:

Mean Deviation from the Mean

 

Mean = 9.42

Mean Deviation from Mean = 3.59

Mean Deviation from the Median

= Size of 7th item 

Therefore, the median lies in the group 8-12

l1 = 8, c.f. = 5, f = 4, i = 4

Median = 10

Mean Deviation from Median = 3.42



Calculation of Mean Deviation for different types of Statistical Series

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What is Mean Deviation?

The arithmetic average of the deviations of various items from a measure of central tendency (mean, median, or mode) is known as the Mean Deviation of a series. Other names for Mean Deviation are the First Moment of Dispersion and Average Deviation....

Calculation of Mean Deviation

1. Individual Series...

1. Individual Series

When calculating the mean deviation for an individual series, the deviations from the mean or median are added together. The sum is then divided by the number of items in the series....

2. Discrete Series

Steps to Calculate Mean Deviation...

3. Continuous Series

Mean deviation formulas for continuous series are the same as those for discrete series. The mid-points of class intervals must be determined for the given continuous frequency distribution and are taken as ‘m’. A continuous series takes on the shape of a discrete series in this way. All of the discrete series’ steps are then applied after that....