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Measures Of Central Tendency — Flashcards

NIOS · Class 10 · Maths

30 flashcards for Measures Of Central Tendency (NIOS Class 10 Maths) to test yourself on key terms and facts. Part of the NIOS Class 10 Maths syllabus.

30 questions30 flashcards7 formulas & key relations5 concepts

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An infographic illustrating the three main measures of central tendency: Mean, Median, and Mode, with a brief definition for each and their purpose in describing a dataset's central position.
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30 Flashcards·
Mean of raw dataCombined meanEffect on meanMean formulaMean of ungrouped data
Card 1Mean of raw data

Find the mean of the raw data: 3, 6, 9, 12, 15.

Answer

Step 1: Add the observations: 3 + 6 + 9 + 12 + 15 = 45 Step 2: Count the observations: n = 5 Step 3: Use mean = sum / count = 45 / 5 = 9 Answer: 9…

Card 2Mean of raw data

Find the mean of these marks: 36, 45, 52, 28, 63, 71, 43, 38, 56, 48.

Answer

Step 1: Add all values: 36 + 45 + 52 + 28 + 63 + 71 + 43 + 38 + 56 + 48 = 480 Step 2: Count the values: n = 10 Step 3: Mean = 480 / 10 = 48 Answer: 48…

Card 3Mean of raw data

The mean of 8 observations is 25. One observation 20 is excluded. Find the new mean.

Answer

Step 1: Find total of 8 observations = 25 × 8 = 200 Step 2: Remove 20: 200 - 20 = 180 Step 3: Remaining observations = 7 Step 4: New mean = 180 / 7 ≈ 25.71 Answer: Approximately 25.71…

Card 4Combined mean

The mean weight of 10 boys is 60 kg and the mean weight of 15 girls is 50 kg. Find the combined mean weight.

Answer

Step 1: Total weight of boys = 60 × 10 = 600 kg Step 2: Total weight of girls = 50 × 15 = 750 kg Step 3: Total weight = 600 + 750 = 1350 kg Step 4: Total students = 10 + 15 = 25 Step 5: Combined mean …

Card 5Mean of raw data

If the mean of 6 observations is 8 and the mean becomes 9 after adding one more observation, find the added value.

Answer

Step 1: Sum of 6 observations = 8 × 6 = 48 Step 2: Sum of 7 observations = 9 × 7 = 63 Step 3: Added observation = 63 - 48 = 15 Answer: 15…

Card 6Effect on mean

The mean of 5 observations is 7. Each observation is multiplied by 3 and then 2 is subtracted. Find the new mean.

Answer

Step 1: Original mean = 7 Step 2: Multiply mean by 3: 3 × 7 = 21 Step 3: Subtract 2: 21 - 2 = 19 Answer: 19…

Card 7Mean formula

What is the formula for the mean of raw data? Solve using 2, 4, 6, 8 as a quick check.

Answer

Formula: x̄ = (x1 + x2 + ... + xn) / n Here, x1, x2, ... are observations and n is the number of observations. Quick check: (2 + 4 + 6 + 8) / 4 = 20 / 4 = 5 Answer: Mean = 5…

Card 8Mean of ungrouped data

Find the mean of the discrete frequency data: x = 10, 20, 30, 40, 50 and f = 4, 6, 10, 7, 3.

Answer

Step 1: Multiply each value by its frequency: 10×4 = 40 20×6 = 120 30×10 = 300 40×7 = 280 50×3 = 150 Step 2: Add f x = 40 + 120 + 300 + 280 + 150 = 890 Step 3: Add frequencies N = 4 + 6 + 10 + 7 + 3 =…

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Frequently Asked Questions

What are the important topics in Measures Of Central Tendency for NIOS Class 10 Maths?
Key topics in Measures Of Central Tendency include Core Ideas and Definitions, Mean of Raw Data and Ungrouped Data, Mean of Grouped Data, Median in Detail. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many flashcards are available for Measures Of Central Tendency?
There are 30 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 NIOS Class 10 board exam?
Learn the core ideas first, then work through the 30 practice questions on Measures Of Central Tendency. Revise definitions regularly and use flashcards for quick recall before the exam.

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