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Find the mean deviation about the mean for the data. xi 5 10 15 20 25 fi 7 4 6 3 5 - Mathematics

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प्रश्न

Find the mean deviation about the mean for the data.

xi 5 10 15 20 25
fi 7 4 6 3 5
योग
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उत्तर

xi fi fi xi `|"x"_"i" - overline "x"|` `"f"_"i"|"x"_"i" - overline "x"|`
5 7 35 9 63
10 4 40 4 16
15 6 90 1 6
20 3 60 6 18
25 5 125 11 55
Sum 25 350 - 158

`overline "x" = (sum"f"_"i""x"_"i")/(sum"f"_"i")` 

= `350/25`

= 14

Mean Deviation = `(sum"f"_"i" |"x"_"i" - overline"x"|)/"N"`

= `158/25`

= 6.32

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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 5 | पृष्ठ ३६०

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