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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Below is the Given Frequency Distribution of Words in an Essay - Algebra

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प्रश्न

Below is the given frequency distribution of words in an essay

Number of Words Number of Candidates
600 – 800 8
800 – 1000 22
1000 – 1200 40
1200 – 1400 18
1400 - 1600 12

Find the mean number of words written.

उत्तर

(Number of words) Class Mark (Number of candidates) fiXi
Class intervals Xi Frequency  
    fi  
600 – 800 700 8 5600
800 – 1000 900 22 19800
1000 – 1200 1100 40 44000
1200 – 1400 1300 18 23400
1400 – 1600 1500 12 18000
Total   ∑fi=100 ∑fiXi=110800

Mean=

`barX=(Sigmaf_ix_i)/(Sigmaf_i)=110800/100=1108`

∴ Mean number of words written in an essay is 1108.

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Number of words   Number of Candidates
600  -  800             12
800  -  1000             14
1000 - 1200              40
1200 - 1400              15
1400 - 1600              19

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46 7
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