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3. Mean deviation about Mode for ungrouped data example ( Enter your problem )
  1. Examples
Other related methods
  1. Mean deviation about Mean
  2. Mean deviation about Median
  3. Mean deviation about Mode

2. Mean deviation about Median
(Previous method)

1. Examples





1. Find Mean deviation about Mode from the following ungrouped data
`85,96,76,108,85,80,100,85,70,95`


Solution:
Mode :
In the given data, the observation `85` occurs maximum number of times (`3`)

`:. Z = 85`

`x``|x - Z| = |x - 85|`
850
9611
769
10823
850
805
10015
850
7015
9510
------
`880``88`


Mean deviation of Mode
`delta bar x = (sum |x - Z|)/n`

`delta bar x = 88/10`

`delta bar x = 8.8`


Coefficient of Mean deviation `=(delta bar x)/(bar x)`

`=8.8/85`

`=0.1035`
2. Find Mean deviation about Mode from the following ungrouped data
`69,66,67,69,64,63,65,68,72`


Solution:
Mode :
In the given data, the observation `69` occurs maximum number of times (`2`)

`:. Z = 69`

`x``|x - Z| = |x - 69|`
690
663
672
690
645
636
654
681
723
------
`603``24`


Mean deviation of Mode
`delta bar x = (sum |x - Z|)/n`

`delta bar x = 24/9`

`delta bar x = 2.6667`


Coefficient of Mean deviation `=(delta bar x)/(bar x)`

`=2.6667/69`

`=0.0386`






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2. Mean deviation about Median
(Previous method)





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