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Measures of Central Tendency — Flashcards

ICSE · Class 10 · Mathematics

26 flashcards for Measures of Central Tendency (ICSE Class 10 Mathematics) to test yourself on key terms and facts.

33 questions26 flashcards12 formulas & key relations5 concepts

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26 Flashcards·
Mean of ungrouped dataMeaning of meanDirect method for meanShort-cut method for mean
Card 1Mean of ungrouped data

Solve the mean of these observations: 4, 6, 8, 10

Answer

Step 1: Add all observations: 4 + 6 + 8 + 10 = 28. Step 2: Count the observations: 4. Step 3: Divide sum by number of observations: 28/4 = 7. Answer: Mean = 7.

Card 2Mean of ungrouped data

Solve the mean of these observations: 12, 15, 18, 21, 24

Answer

Step 1: Add the values: 12 + 15 + 18 + 21 + 24 = 90. Step 2: Count the observations: 5. Step 3: Mean = 90/5 = 18. Answer: Mean = 18.

Card 3Meaning of mean

Why is the mean written as sum of observations divided by number of observations?

Answer

Mean is the balance point of the data values. If all values are shared equally among the observations, each observation gets the same share. Formula: x̄ = (x1 + x2 + x3 + ... + xn)/n = Σxi/n. Quick ch…

Card 4Direct method for mean

Formula for mean by direct method for grouped data

Answer

Formula: Mean = Σfx / Σf. Here, f = frequency and x = value. Quick example: If x = 2, 4 and f = 3, 2, then Σfx = 2×3 + 4×2 = 14 and Σf = 5. Mean = 14/5 = 2.8.

Card 5Direct method for mean

Use the direct method to find the mean for x = 5, 10, 15 with frequencies 2, 3, 1

Answer

Step 1: Multiply each value by its frequency. 5×2 = 10, 10×3 = 30, 15×1 = 15. Step 2: Add fx values: 10 + 30 + 15 = 55. Step 3: Add frequencies: 2 + 3 + 1 = 6. Step 4: Mean = Σfx / Σf = 55/6. Answer: …

Card 6Short-cut method for mean

When do you use the short-cut method for mean?

Answer

The short-cut method is used when calculations can be made easier by choosing an assumed mean A. Formula: Mean = A + Σfd / Σf, where d = x - A. Example: If A = 10, x values are 8, 10, 12 with frequenc…

Card 7Short-cut method for mean

Use the short-cut method for mean: x = 8, 10, 12 and f = 2, 3, 1, taking A = 10

Answer

Step 1: Find d = x - A. For 8, d = -2; for 10, d = 0; for 12, d = 2. Step 2: Find fd. 2×(-2) = -4, 3×0 = 0, 1×2 = 2. Step 3: Add Σfd = -4 + 0 + 2 = -2. Step 4: Add Σf = 2 + 3 + 1 = 6. Step 5: Mean = A…

Card 8Short-cut method for mean

Why does the assumed mean method make calculation easier?

Answer

The assumed mean method reduces large numbers into smaller deviations. Instead of multiplying big values directly, deviations from a nearby value are used. Example: For values 48, 50, 52, choosing A =…

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Frequently Asked Questions

What are the important topics in Measures of Central Tendency for ICSE Class 10 Mathematics?
Key topics in Measures of Central Tendency include Core Ideas and Definitions, Mean: Methods and Worked Examples, Median, Quartiles and Graphical Methods. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Measures of Central Tendency?
There are 26 flashcards for Measures of Central Tendency covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Measures of Central Tendency for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 33 practice questions on Measures of Central Tendency. Revise definitions regularly and use flashcards for quick recall before the exam.

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