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Find the mean deviation about the median for the data. 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17 - Mathematics

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प्रश्न

Find the mean deviation about the median for the data.

13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

योग

उत्तर

`12/2` = 6th term = 13 and 7th term = 14

Median = `(13 + 14)/2`

= `27/2`

= 13.5

xi `|x_i - 13.5|`
10 3.5
11 2.5
11 2.5
12 1.5
13 0.5
13 0.5
14 0.5
16 2.5
16 2.5
17 3.5
17 3.5
18 4.5
Total 28

∴ Mean deviation (M) = `(sum|"x"_"i" - "M"|)/"n"`

= `28/12`

= 2.33

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अध्याय 15: Statistics - Exercise 15.1 [पृष्ठ ३६०]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 15 Statistics
Exercise 15.1 | Q 3 | पृष्ठ ३६०

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