CBSE Class 10 Sample Paper for 2019 Boards
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CBSE Class 10 Sample Paper for 2019 Boards
Last updated at Dec. 16, 2024 by Teachoo
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 |
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No of households |
4 |
5 |
12 |
2 |
2 |
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 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × 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 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 200 + (12 − 5)/(2(12) − 5 − 2) × 50 = 200 + 7/(24 − 7) × 50 = 200 + 7/17 × 50 = 200 + 7/17 × 50 = 200 + 350/17 = 200 + 20.58 = 220.58 ∴ Modal income is Rs 220.58
