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Find the value of p for the following distribution whose mean is 16.6 x: 8 12 15 p 20 25 30 f : 12 16 20 24 16 8 4 - Mathematics

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प्रश्न

Find the value of p for the following distribution whose mean is 16.6

x: 8 12 15 p 20 25 30
f : 12 16 20 24 16 8 4
योग
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उत्तर

x f fx
8 12 96
12 16 192
15 20 300
p 24 24p
20 16 320
25 8 200
30 4 120
  N = 100 `sumfx = 24P + `1228`

Given mean = 16.6

⇒ `(sumfx)/N = 16.6`

⇒ `24p + 1228 / 100 = 16.6`

⇒ 24p = 1660 − 1228 

⇒ 24p = 1660 − 1228

⇒ 24p = 432

⇒ `p = 432/24 = 18`

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अध्याय 24: Measures of Central Tendency - Exercise 24.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 24 Measures of Central Tendency
Exercise 24.2 | Q 7 | पृष्ठ १५
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