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Statistics

Karnataka Board · Class 9 · Mathematics

Flashcards for Statistics — Karnataka Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

44 questions20 flashcards5 concepts

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20 Flashcards
Card 1Bar Graphs

Draw a bar graph for this data: Mathematics scores - 15 students scored 80-90, 12 students scored 70-80, 8 students scored 60-70, 5 students scored 50-60. What scale would you choose for the y-axis?

Answer

Step 1: Identify variables - x-axis: Score ranges, y-axis: Number of students. Step 2: Choose scale - Maximum frequency = 15, so choose 1 unit = 2 students (y-axis goes 0,2,4,6,8,10,12,14,16). Step 3:…

Card 2Class-marks

Find the class-mark for the interval 25-35. Then calculate class-marks for: 10-20, 45-55, 60-80.

Answer

Formula: Class-mark = (Upper limit + Lower limit) ÷ 2. Step 1: For 25-35: (35 + 25) ÷ 2 = 60 ÷ 2 = 30. Step 2: For 10-20: (20 + 10) ÷ 2 = 15. Step 3: For 45-55: (55 + 45) ÷ 2 = 50. Step 4: For 60-80: …

Card 3Histogram - Equal Width

Create a histogram for: Height (cm): 140-150 (5 students), 150-160 (12 students), 160-170 (18 students), 170-180 (8 students), 180-190 (2 students). All intervals have equal width - what's special abo

Answer

Since all class intervals have equal width (10 cm), we can directly use frequencies as heights. Step 1: Draw x-axis for height ranges, y-axis for frequency. Step 2: Choose scale (max frequency = 18, u…

Card 4Histogram - Varying Width

Solve this varying width histogram problem: Class intervals: 0-10 (freq=4), 10-30 (freq=8), 30-50 (freq=12), 50-100 (freq=10). Find the height of each rectangle if minimum class width is used as refer

Answer

Step 1: Find minimum class width = 10. Step 2: Calculate rectangle heights using formula: Height = (Frequency/Class width) × Minimum width. Step 3: For 0-10: (4/10) × 10 = 4. Step 4: For 10-30: (8/20)…

Card 5Frequency Polygon

From this frequency table, create the coordinates for a frequency polygon: Marks: 0-20(3), 20-40(7), 40-60(12), 60-80(5), 80-100(1). Include the end points.

Answer

Step 1: Find class-marks: 10, 30, 50, 70, 90. Step 2: Add imaginary classes before and after with zero frequency. Before: (-20)-0, class-mark = -10. After: 100-120, class-mark = 110. Step 3: Coordinat…

Card 6Histogram Interpretation

A histogram shows test scores. The bar for 70-80 has height 15, width 10. The bar for 80-100 has height 8, width 20. Which score range actually has more students and why?

Answer

Step 1: Remember that frequency = area of rectangle (not height). Step 2: For 70-80: Area = height × width = 15 × 10 = 150. Step 3: For 80-100: Area = 8 × 20 = 160. Step 4: Since 160 > 150, the range …

Card 7Graph Selection

When should you use a bar graph vs. a histogram? Give the deciding factors and one example each.

Answer

Use Bar Graph when: Data has discrete/separate categories. Example: Favorite subjects - Math(20), Science(15), English(10), Hindi(8). Use Histogram when: Data has continuous intervals. Example: Studen…

Card 8Data Preparation

Convert this data to make it suitable for a histogram: Student ages: 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 17, 18, 18, 19. Create 3 equal class intervals.

Answer

Step 1: Find range = 19 - 13 = 6. Step 2: Create 3 intervals: 13-15, 15-17, 17-19. Step 3: Count frequencies (include lower limit, exclude upper): 13-15: {13,14,14,15,15,15} = 6 students. 15-17: {16,1…

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Frequently Asked Questions

What are the important topics in Statistics for Karnataka Board Class 9 Mathematics?
Statistics covers several key topics that are frequently asked in Karnataka Board Class 9 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 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
How many flashcards are available for Statistics?
There are 20 flashcards for Statistics covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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

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