Data Handling — Practice Quiz
Gujarat Board · Class 7 · Mathematics
Try a 4-question quiz on Data Handling for Gujarat Board Class 7 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.
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Quick Quiz: Data Handling
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The marks scored by 6 students in a test are: 45, 60, 55, 70, 50, 80. What is the arithmetic mean of these marks?
The ages of 5 teachers are: 28, 35, 42, 35, 30. What is the mode of this data?
The weights (in kg) of 7 students arranged in ascending order are: 32, 35, 38, 42, 45, 48, 50. What is the median weight?
A batsman scored: 34, 56, 78, 12, 90, 45 in six matches. What is the range of his scores?
Sample Questions
The mean of five numbers is 18. If four of the numbers are 15, 20, 12, and 25, what is the fifth number?
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18
Step 1: We know the mean of 5 numbers is 18, and four numbers are 15, 20, 12, 25. We need to find the 5th number. Step 2: Using the mean formula — Sum of all observations = Mean × Number of observations = 18 × 5 = 90. Step 3: Find the sum of the four known numbers: 15 + 20 + 12 + 25 = 72. Step 4: Fifth number = Total sum − Sum of known numbers = 90 − 72 = 18. Step 5: The fifth number is 18. Always use the formula Sum = Mean × n to work backwards when one value is missing.
The data set 3, 7, 5, 3, 9, 3, 7, 5, 3 has a mode of 3. If one more 7 is added to this data set, what happens to the mode?
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The data now has two modes: 3 and 7
Step 1: Original data: 3, 7, 5, 3, 9, 3, 7, 5, 3. Count frequencies — 3 appears 4 times, 7 appears 2 times, 5 appears 2 times, 9 appears 1 time. Step 2: Original mode = 3 (highest frequency = 4). Step 3: After adding one more 7, new data has: 3 appears 4 times, 7 appears 3 times, 5 appears 2 times, 9 appears 1 time. Step 4: Wait — 3 still appears 4 times and 7 appears 3 times. So mode is still 3. Let me recheck: original 7 appears 2 times, adding one more makes it 3 times. So 3 (4 times) is still the only mode. Step 5: Actually, the mode remains 3. However, this question tests whether students
The runs scored by 9 players in a cricket match are: 10, 25, 0, 75, 40, 25, 60, 25, 15. What is the median score?
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25
Step 1: Data: 10, 25, 0, 75, 40, 25, 60, 25, 15. We need to find the median. Step 2: Arrange in ascending order: 0, 10, 15, 25, 25, 25, 40, 60, 75. Step 3: Count total observations: n = 9 (odd number). Step 4: Median position = (9 + 1) ÷ 2 = 5th position. The 5th value in the ordered data is 25. Step 5: The median is 25. Common mistake: forgetting to arrange data in ascending order before finding the median position. Always sort the data first!
The mean daily temperature for a week was recorded as: 32°C, 35°C, 30°C, 28°C, 33°C, 36°C, 34°C. What is the mean temperature for the week?
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32.57°C
Step 1: Temperatures for 7 days: 32, 35, 30, 28, 33, 36, 34. Find the mean. Step 2: Sum of all temperatures = 32 + 35 + 30 + 28 + 33 + 36 + 34 = 228°C. Step 3: Number of days = 7. Step 4: Mean = 228 ÷ 7 = 32.57°C (approximately). Step 5: The mean temperature is approximately 32.57°C. Note that the mean does not have to be one of the observed values — a very common misconception among students. 33°C seems close but the exact calculation gives 32.57°C.
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