Measures Of Central Tendency
NIOS · Class 10 · Maths
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See them allFind 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…
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…
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…
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 …
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…
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…
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…
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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