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Find the mean deviation about the mean for the data. 4, 7, 8, 9, 10, 12, 13, 17 - Mathematics

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प्रश्न

Find the mean deviation about the mean for the data.

4, 7, 8, 9, 10, 12, 13, 17

योग

उत्तर

Arithmetic mean `overline x = (4 + 7 + 8 + 9 + 10 + 12 + 13 + 17)/8`

= `80/8`

= 10

`sum |x_i - overline x| = |4 - 10| + |7 - 10| + |8 - 10| + |9 - 10| + |10 - 10| + |12 - 10| + |13 - 10| + |17 - 10|`

= 6 + 3 + 2 + 1 + 0 + 2 + 3 + 7 

= 24

∴ Mean deviation about the mean MD `(overline x) = (sum |x_i - overline x|)/n`

= `24/8`

= 3

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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 1 | पृष्ठ ३६०

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