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Statistics

Karnataka Board · Class 10 · Mathematics

Practice quiz for Statistics — Karnataka Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

45 questions20 flashcards5 concepts

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Quick Quiz: Statistics

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1

Find the mean of the following data: 15, 18, 22, 25, 30, 35, 40

2

For the grouped data below, find the mean using direct method: Class: 10-20, 20-30, 30-40, 40-50 Frequency: 5, 8, 12, 3

3

Find the median of the data: 12, 15, 18, 20, 22, 25, 28

4

Find the mode of the data: 5, 7, 8, 5, 9, 5, 12, 8, 5

45 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

For the grouped data, find the modal class: Class: 0-10, 10-20, 20-30, 30-40 Frequency: 3, 7, 15, 8

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20-30

Step 1: Identify the frequency of each class interval: 0-10 has frequency 3, 10-20 has frequency 7, 20-30 has frequency 15, 30-40 has frequency 8. Step 2: Find the class with maximum frequency. Step 3: The class 20-30 has the highest frequency of 15. Step 4: Therefore, the modal class is 20-30. The modal class contains the mode value.

2multiple choice
1 marks

Calculate the mean using assumed mean method where a = 25: Values: 20, 22, 25, 28, 30 Frequencies: 2, 3, 5, 4, 1

Show answer

24.67

Step 1: Calculate deviations di = xi - a: d1=-5, d2=-3, d3=0, d4=3, d5=5. Step 2: Calculate fi×di: 2×(-5)=-10, 3×(-3)=-9, 5×0=0, 4×3=12, 1×5=5. Step 3: Find Σfi×di = -10-9+0+12+5 = -2. Step 4: Find Σfi = 2+3+5+4+1 = 15. Step 5: Apply formula: Mean = a + (Σfi×di/Σfi) = 25 + (-2/15) = 24.67.

3multiple choice
1 marks

Find the median of: 4, 6, 8, 10, 12, 14

Show answer

9

Step 1: Arrange data in order (already arranged): 4, 6, 8, 10, 12, 14. Step 2: Count observations: n = 6 (even number). Step 3: For even n, median = average of (n/2)th and ((n/2)+1)th observations. Step 4: Positions are 3rd and 4th observations: 8 and 10. Step 5: Median = (8 + 10)/2 = 9.

4multiple choice
1 marks

For the frequency distribution, find the cumulative frequency for class 30-40: Class: 10-20, 20-30, 30-40, 40-50 Frequency: 4, 8, 6, 2

Show answer

18

Step 1: Understand that cumulative frequency is the sum of all frequencies up to that class. Step 2: For class 10-20: cf = 4. Step 3: For class 20-30: cf = 4 + 8 = 12. Step 4: For class 30-40: cf = 4 + 8 + 6 = 18. Step 5: The cumulative frequency for class 30-40 is 18.

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Frequently Asked Questions

What are the important topics in Statistics for Karnataka Board Class 10 Mathematics?
Statistics covers several key topics that are frequently asked in Karnataka Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Statistics — Karnataka Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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