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CBSE Class 10 Sample Paper for 2019 Boards

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Question 22 - CBSE Class 10 Sample Paper for 2019 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at March 23, 2023 by

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

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Daily Expenditure (in Rs .)

100 – 150

150 – 200

200 – 250

250 – 300

300 – 350

No of households

4

5

12

2

2

The table shows daily expenditure on grocery of 25 households in

Question 22 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2
Question 22 - CBSE Class 10 Sample Paper for 2019 Boards - Part 3

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Transcript

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 + (𝑓1 βˆ’π‘“0)/(2𝑓1 βˆ’π‘“0 βˆ’π‘“2) Γ— h Modal class = Interval with highest frequency = 200 – 250 where l = lower limit of modal class h = class-interval = 150 – 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 + (𝑓1 βˆ’π‘“0)/(2𝑓1 βˆ’π‘“0 βˆ’π‘“2) Γ— h = 200 + (12 βˆ’ 5)/(2(12) βˆ’ 5 βˆ’ 2) Γ— 50 = 200 + 7/(24 βˆ’ 7) Γ— 50 = 200 + 7/17 Γ— 50 = 200 + 7/17 Γ— 50 = 200 + 350/17 = 200 + 20.58 = 220.58 ∴ Modal income is Rs 220.58

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.