Statistics — Practice Quiz
Telangana Board · Class 9 · Mathematics
4 MCQs on Statistics for Telangana Board Class 9 Mathematics: tap an answer to check it and see why. The full chapter test has 44 questions.
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Quick Quiz: Statistics
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Find the mean of the following data: 12, 15, 18, 20, 25
The median of the data set 7, 11, 15, 19, 23 is:
In a frequency distribution, if x = 5 has frequency 8, x = 7 has frequency 12, and x = 9 has frequency 10, what is the mean?
Find the mode of the following data: 3, 5, 7, 5, 9, 5, 11
Sample Questions
The mean of 5 numbers is 20. If one number is 35, what is the sum of the remaining 4 numbers?
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65
Step 1: Use the mean formula to find total sum: Mean = Sum ÷ Number of observations, so Sum = Mean × Number of observations. Step 2: Calculate total sum of 5 numbers: Sum = 20 × 5 = 100. Step 3: One number is given as 35. Step 4: Sum of remaining 4 numbers = Total sum - Given number = 100 - 35 = 65. Therefore, the sum of the remaining 4 numbers is 65.
Find the median of the data: 4, 8, 12, 16, 20, 24
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14
Step 1: Check if data is arranged in order - yes, it's in ascending order: 4, 8, 12, 16, 20, 24. Step 2: Count the observations: n = 6 (even number). Step 3: For even n, median is the average of (n/2)th and (n/2 + 1)th values. Here, n/2 = 3, so we need 3rd and 4th values. Step 4: 3rd value = 12, 4th value = 16. Median = (12 + 16) ÷ 2 = 28 ÷ 2 = 14.
If the mean of 7, 9, 11, x, 15 is 10, find the value of x:
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8
Step 1: Write the mean formula: Mean = Sum of observations ÷ Number of observations. Step 2: Substitute known values: 10 = (7 + 9 + 11 + x + 15) ÷ 5. Step 3: Simplify: 10 = (42 + x) ÷ 5. Step 4: Multiply both sides by 5: 50 = 42 + x. Step 5: Solve for x: x = 50 - 42 = 8. Therefore, x = 8.
The range of the data 15, 22, 8, 19, 31, 12 is:
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23
Step 1: Identify the maximum value in the data: Looking at 15, 22, 8, 19, 31, 12, the maximum is 31. Step 2: Identify the minimum value in the data: The minimum is 8. Step 3: Apply the range formula: Range = Maximum value - Minimum value. Step 4: Calculate: Range = 31 - 8 = 23. Therefore, the range is 23.
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