Chapter Exam

Chapter 13: Statistics — Online MCQ Test

Q: For a class interval 20-30, what is the class mark?

Answer: B. 25 — Class mark = (lower limit + upper limit)/2 = (20 + 30)/2 = 25.

Q: Which formula is used to find the mean of grouped data by the direct method?

Answer: B. Mean = Σfixi/Σfi — For grouped data, the mean is calculated as Σfixi divided by Σfi, where xi is the class mark.

Q: Find the mean of the grouped data: class intervals 0-10, 10-20, 20-30 with frequencies 4, 6, 10 respectively.

Answer: B. 18 — Class marks are 5, 15 and 25. Mean = (4×5 + 6×15 + 10×25)/(4+6+10) = 360/20 = 18.

Q: If the classes 0-10, 10-20, 20-30, 30-40 have frequencies 5, x, 10, 5 and the mean is 20, find x.

Answer: C. 10 — Using class marks 5, 15, 25, 35, mean = (450 + 15x)/(20 + x) = 20. Solving gives x = 10.

Q: For the distribution 0-10: 4, 10-20: 8, 20-30: x, 30-40: 10, 40-50: 6, the median is 27. Find x.

Answer: B. 10 — Here n = 28 + x and median class is 20-30. Using 27 = 20 + [((28 + x)/2 - 12)/x] × 10 gives x = 10.

MATHS · CLASS 10th · Karnataka State Board

Practice Chapter 13: Statistics with a free chapter-wise online MCQ test for Karnataka State Board CLASS 10th MATHS. This chapter covers: Grouped data Frequency distribution Class interval Mean Median Mode Cumulative frequency Ogive Histogram. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 13: Statistics — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 10th MATHS — Chapter 13: Statistics, with answers and explanations. These are sample questions; the exam has its own separate question set.

For a class interval 20-30, what is the class mark?

A. 20
B. 25 ✓
C. 30
D. 10

Answer: B. 25
Class mark = (lower limit + upper limit)/2 = (20 + 30)/2 = 25.

Which formula is used to find the mean of grouped data by the direct method?

A. Mean = Σfi/Σxi
B. Mean = Σfixi/Σfi ✓
C. Mean = Σxi/Σfi
D. Mean = Σfi/Σfixi

Answer: B. Mean = Σfixi/Σfi
For grouped data, the mean is calculated as Σfixi divided by Σfi, where xi is the class mark.

Find the mean of the grouped data: class intervals 0-10, 10-20, 20-30 with frequencies 4, 6, 10 respectively.

A. 16
B. 18 ✓
C. 20
D. 22

Answer: B. 18
Class marks are 5, 15 and 25. Mean = (4×5 + 6×15 + 10×25)/(4+6+10) = 360/20 = 18.

If the classes 0-10, 10-20, 20-30, 30-40 have frequencies 5, x, 10, 5 and the mean is 20, find x.

A. 5
B. 8
C. 10 ✓
D. 12

Answer: C. 10
Using class marks 5, 15, 25, 35, mean = (450 + 15x)/(20 + x) = 20. Solving gives x = 10.

For the distribution 0-10: 4, 10-20: 8, 20-30: x, 30-40: 10, 40-50: 6, the median is 27. Find x.

A. 8
B. 10 ✓
C. 12
D. 14

Answer: B. 10
Here n = 28 + x and median class is 20-30. Using 27 = 20 + [((28 + x)/2 - 12)/x] × 10 gives x = 10.

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