हिंदी

The mean of the following distribution is 2117. Find the value of ‘f’. C.I. 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Frequency 8 22 31 f 2 - Mathematics

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प्रश्न

The mean of the following distribution is `21 1/7`. Find the value of ‘f’.

C.I. 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
Frequency  8 22 31 f 2
योग

उत्तर

`barx = 21 1/7 = 148/7` 

C.I. Frequency  Mid-value (xi) fixi
0 – 10 8 5 40
10 – 20 22 15 330
20 – 30 31 25 775
30 – 40 f 35 35f
40 – 50 2 45 90
Total 63 + f   1235 + 35f 

`barx = (sumf_ix_i)/(sumf_i) = (1235 + 35f)/(63 + f)` 

`=> 148/7 = (1235 + 35f)/(63 + f)` 

`=> 9324 + 148f = 8645 + 245f` 

`=> 245f - 148f = 9324 - 8645`  

`=> f = 679/97 ` 

`=>` f = 7                                            

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अध्याय 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode) - Exercise 24 (B) [पृष्ठ ३६२]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 24 Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24 (B) | Q 5 | पृष्ठ ३६२
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