Question 22

The table shows the daily expenditure on grocery of 25 households in a locality. Find the modal daily expenditure on grocery by a suitable method

 

 

 

 

 

 

Daily Expenditure (in Rs .)

100 – 150

150 – 200

200 – 250

250 – 300

300 – 350

No of households

4

5

12

2

2

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Question 22 The table shows the daily expenditure on grocery of 25 households in a locality. Find the modal daily expenditure on grocery by a suitable method We know that Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h Modal class = Interval with highest frequency = 200 โ€“ 250 where l = lower limit of modal class h = class-interval = 150 โ€“ 100 = 50 f1 = frequency of the modal class = 12 f0 = frequency of the class before modal class = 5 f2 = frequency of the class after modal class = 2 Putting values in formula Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h = 200 + (12 โˆ’ 5)/(2(12) โˆ’ 5 โˆ’ 2) ร— 50 = 200 + 7/(24 โˆ’ 7) ร— 50 = 200 + 7/17 ร— 50 = 200 + 7/17 ร— 50 = 200 + 350/17 = 200 + 20.58 = 220.58 โˆด Modal income is Rs 220.58

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.