Skip to main content
Super TutorResources
Chapter 8 of 8
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Flashcards

Statistics and Probability

Tamil Nadu Board · Class 10 · Mathematics

Flashcards for Statistics and Probability — Tamil Nadu Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

44 questions24 flashcards5 concepts

Interactive on Super Tutor

Studying Statistics and Probability? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A tree diagram illustrating the multiplication theorem of probability for two sequential events, showing how to calculate the probability of their intersection.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started
24 Flashcards
Card 1Measures of Central Tendency

Calculate the mean of the following data: 25, 30, 35, 40, 45

Answer

Step 1: Add all observations = 25 + 30 + 35 + 40 + 45 = 175 Step 2: Count the number of observations = 5 Step 3: Apply formula: Mean = Sum/n = 175/5 = 35 Answer: The mean is 35…

Card 2Measures of Dispersion

Find the range and coefficient of range from the data: 12, 45, 23, 67, 18, 39

Answer

Step 1: Identify largest value (L) = 67 and smallest value (S) = 12 Step 2: Calculate Range = L - S = 67 - 12 = 55 Step 3: Calculate Coefficient of Range = (L - S)/(L + S) = 55/(67 + 12) = 55/79 ≈ 0.6…

Card 3Standard Deviation

When do you use the standard deviation formula: σ = √[Σx²/n - (Σx/n)²]?

Answer

Use this 'direct method' formula when: 1. You have ungrouped data given directly as individual values 2. You need to find how spread out the values are from the mean 3. Calculating squared deviations …

Card 4Grouped Data - Mean

The standard deviation of TV watching hours is: 6, 7, 8, 9, 10, 11, 12 with frequencies 3, 6, 9, 13, 8, 5, 4. Calculate the mean.

Answer

Step 1: Create table with xᵢ and fᵢ values Step 2: Calculate xᵢfᵢ for each: 18, 42, 72, 117, 80, 55, 48 Step 3: Sum xᵢfᵢ = 432 and sum fᵢ = 48 Step 4: Apply Mean formula = Σxᵢfᵢ/N = 432/48 = 9 Answer:…

Card 5Standard Deviation - Grouped Data

Find the standard deviation of grouped data: Classes 0-10, 10-20, 20-30, 30-40 with frequencies 8, 12, 17, 14 (Assume mean = 20.5)

Answer

Step 1: Find class midpoints: 5, 15, 25, 35 Step 2: Calculate deviations from mean: dᵢ = xᵢ - 20.5 = -15.5, -5.5, 4.5, 14.5 Step 3: Calculate fᵢdᵢ²: 8(240.25) = 1922, 12(30.25) = 363, 17(20.25) = 344.

Card 6Properties of Standard Deviation

When the original data is 2, 3, 5, 7, 8 with σ = 2.28, what happens to standard deviation when you multiply each value by 4?

Answer

When you multiply all data values by a constant k, the standard deviation also gets multiplied by k. Original data: 2, 3, 5, 7, 8, σ₁ = 2.28 New data: 8, 12, 20, 28, 32 (multiplied by 4) New σ₂ = 4 ×…

Card 7Variance

Calculate the variance of the first 5 natural numbers: 1, 2, 3, 4, 5

Answer

Step 1: Calculate mean = (1+2+3+4+5)/5 = 15/5 = 3 Step 2: Find deviations from mean and square them: (1-3)² = 4, (2-3)² = 1, (3-3)² = 0, (4-3)² = 1, (5-3)² = 4 Step 3: Sum of squared deviations = 4 + …

Card 8Coefficient of Variation

Mean = 25.6, Coefficient of Variation = 18.75%. Find the standard deviation.

Answer

Use the coefficient of variation formula: C.V. = (σ/mean) × 100% Step 1: Substitute known values 18.75 = (σ/25.6) × 100 Step 2: Rearrange to find σ σ = (18.75 × 25.6)/100 σ = 480/100 σ = 4.8 Answer…

+16 more flashcards available

Practice All

Frequently Asked Questions

What are the important topics in Statistics and Probability for Tamil Nadu Board Class 10 Mathematics?
Key topics in Statistics and Probability include Statistics and Probability – Complete Chapter Overview, Mind map showing the main branches of Statistics and Probability with their key components and applications, Mind map showing the three main measures of central tendency and their characteristics. These are the concepts Tamil Nadu Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Statistics and Probability — Tamil Nadu Board Class 10 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Statistics and Probability?
There are 24 flashcards for Statistics and Probability covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

More resources for Statistics and Probability

All 8 chapters — Tamil Nadu Board Class 10 Mathematics Flashcards

For serious students

Get the full Statistics and Probability chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Tamil Nadu Board Class 10 Mathematics.

Try Super Tutor Free
Try the full chapter — Free