Statistics — Important Questions
Telangana Board · Class 10 · Mathematics
43 important questions from Statistics for Telangana Board Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Statistics
If mean = 25, median = 20, what type of distribution is this likely to be?
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Positively skewed
Step 1: Compare mean and median. Step 2: When mean > median (25 > 20), the distribution is positively skewed. Step 3: This means the tail extends more towards higher values, pulling the mean above the median.
Which of the following are measures of central tendency?
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Mean, Median, Mode
Step 1: Central tendency measures represent the center of data. Step 2: Mean (average), Median (middle value), and Mode (most frequent value) all indicate central position. Step 3: Range and Standard Deviation measure spread, not central tendency.
Calculate the mean using direct method for: Class: 0-10(f=2), 10-20(f=5), 20-30(f=3)
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15
Step 1: Find class marks: 5, 15, 25. Step 2: Calculate Σfixi = 2×5 + 5×15 + 3×25 = 10 + 75 + 75 = 160. Step 3: Σfi = 2 + 5 + 3 = 10. Step 4: Mean = Σfixi / Σfi = 160/10 = 15.
Find the median for data: 4, 6, 8, 10, 12, 14
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9
Step 1: Data is already arranged: 4, 6, 8, 10, 12, 14. Step 2: n = 6 (even number). Step 3: Median = (n/2)th + (n/2 + 1)th / 2 = (3rd + 4th)/2 = (8 + 10)/2 = 18/2 = 9.
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