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Statistics — Practice Quiz

Karnataka Board · Class 10 · Mathematics

Try a 4-question quiz on Statistics for Karnataka Board Class 10 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions20 flashcards3 formulas & key relations5 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

Show answer

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.

+41 more questions on Statistics (Karnataka Board Class 10 Mathematics)

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Frequently Asked Questions

What are the important topics in Statistics for Karnataka Board Class 10 Mathematics?
Key topics in Statistics include Mean of Grouped Data, Mode of Grouped Data, Median of Grouped Data, Comparison of Mean, Median, and Mode. Study these first, then practise questions on each for the Karnataka Board Class 10 board exam.
How many practice questions are there for Statistics?
There are 45 questions on Statistics. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Statistics

All Karnataka Board Class 10 Mathematics Practice Quiz

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