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The following table gives the heights of plants in centimeter. If the mean height of plants is 60.95 cm; find the value of 'f'. Height (cm) 50 55 58 60 65 70 71 No. of plants 2 4 10 f 5 4 3 - Mathematics

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प्रश्न

The following table gives the heights of plants in centimeter. If the mean height of plants is 60.95 cm; find the value of 'f'. 

Height (cm)  50 55 58 60 65 70 71
No. of plants  2 4 10 f 5 4 3
योग

उत्तर

Height (cm)
xi
 No. of plants
fi
 fixi
 50 2 100
55 4 220
58 10 580
60 f 60f
65 5 325
70 4 280
71 3 213
Total  28 + f 1718 + 60f

Mean = 60.95

`=> (1718 + 60f)/28 + f = 60.95` 

`=>` 1718 + 60f = 60.95 (28 + f)

`=>` 1718 + 60f = 1706.6 = 60.95f

`=>` (60.95 – 60)f = 1718.0 – 1706.6

`=>` 0.95f = 11.4

`=> f = 11.4/0.95`

`=>` f = 12 

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अध्याय 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode) - Exercise 24 (A) [पृष्ठ ३५६]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 24 Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24 (A) | Q 9 | पृष्ठ ३५६

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