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Mode
The mode is the value which occurs most frequently in a set of observations on the point of maximum frequency and around which other items of the set cluster densely.
The following data relates to the share price quotations of Reality Industries Ltd. quoted in the first fortnight of July, 20x1.
189, 197.50, 193.75, 188.75, 193.75, 217.50, 207.50, 193.75, 210.50, 193.75, 182.50, 183.75, 191.25, 193.75, 188.75
Let us calculate the mode for the above data.
Price quotation (Rs.)
No. of times it occurs
189.00
1
197.50
193.75
5
188.75
2
217.50
207.50
210.50
182.50
183.75
191.25
Total
15
Since the share price 193.75 has occurred maximum number of times, the mode is 193.75.
Thus, the process of determining mode in case of individual observations essentially involves grouping of data.
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
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