This 2019 CBSE class 10 Maths 3 mark question is from Statistics. Concept: Computing Mode of grouped data.

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 | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
---|---|---|---|---|---|

Frequency | 4 | 5 | 12 | 2 | 2 |

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The maximum class frequency is 12.

The class corresponding to this frequency is 200 – 250.

So, the modal class is 200 – 250.

Mode = l + [ \\frac{f_1 – f_0}{2f_1 – f_0 − f_2}) ] × h

Where l is the lower limit of the modal class & h is the size of the class

f_{1} is the frequency of the modal class

f_{0} is the frequency of the preceding class

f_{2} is the frequency of the succeeding class

Modal class = 200 – 250, lower limit (l) of modal class = 200, class size (h) = 50

frequency (f_{1}) of the modal class = 12

frequency (f_{0}) of class preceding the modal class = 5

frequency (f_{2}) of class succeeding the modal class = 2

Now, let us substitute these values in the formula:

Mode = l + [ \\frac{f_1 – f_0}{2f_1 – f_0 − f_2}) ] × h ⇒ 200 + \\frac{12 – 5}{2 × 12 – 5 − 2}) × 50

⇒ 200 + \\frac{7}{17}) × 50 ⇒ 220.59

Hence, the modal daily expenditure on grocery = **220.59**

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CBSE Class 10 Maths - 2021

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- Quadratic Equations Revision Class
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1. Section A | 2018 CBSE Class 10 Maths 1 Mark **Questions 1 to 2** ▶

2. Section A | 2019 CBSE Class 10 Maths 1 Mark **Question 3 to 4** ▶

3. Section A | 2019 CBSE Class 10 Maths 1 Mark **Question 5 to 6** ▶

4. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 7** | Real Numbers ▶

5. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 8** | Arithmetic Progressions ▶

6. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 9** | Coordinate Geometry ▶

7. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 10** | Probability ▶

8. Section B | 2019 CBSE Class 10 Maths 3 Mark **Question 11** | Probability ▶

9. Section B | 2019 CBSE Class 10 Maths 3 Mark **Question 12** | Linear Equations ▶

10. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 13** | Real Numbers & HCF ▶

11. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 14** | Polynomials ▶

12. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 15** | Linear Equations ▶

13. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 16** | Coordinate Geometry ▶

14. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 17** | Trigonometric Ratios ▶

15. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 18** | Circles ▶

16. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 19** | Triangles ▶

17. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 20** | Areas Related to Circles ▶

18. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 21** | Statistics - Median ▶

19. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 22** | Statistics ▶

20. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 23** | Quadratic Equations ▶

21. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 24** | Arithmetic Progressions ▶

22. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 25** | Triangles ▶

23. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 27** | Trigonometry ▶

24. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 28** | Statistics ▶

25. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 29** | Surface Areas ▶

26. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 30** | Trigonometry ▶

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