Statistics – Data Presentation, Mean, Median Quiz - ICSE Class 9 Mathematics
Free practice quiz: Statistics – Data Presentation, Mean, Median (ICSE Class 9 Mathematics). 62 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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A dataset of 15 numbers has a mean of 75. If one of the numbers, 90, is replaced by 120, what will be the new mean?
- 77
- 75
- 79
- 80
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Answer: A. 77
The sum of the original 15 numbers is 15 * 75 = 1125. When 90 is replaced by 120, the increase in the sum is 120 - 90 = 30. The new sum is 1125 + 30 = 1155. The new mean is 1155 / 15 = 77.
The mean of a dataset is 50. If each value in the dataset is increased by 5, what is the new mean?
- 50
- 55
- 45
- 52.5
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Answer: B. 55
When a constant value is added to every number in a dataset, the mean of the new dataset is the original mean plus that constant value. Original mean = 50. Constant added = 5. New mean = 50 + 5 = 55.
Which type of graph is most suitable for displaying the proportion of different categories in a whole?
- Histogram
- Line graph
- Bar graph
- Pie chart
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Answer: D. Pie chart
A pie chart is specifically designed to show the proportion of different categories that make up a whole. Each slice represents a category, and the size of the slice is proportional to its share of the total.
For the dataset {1, 1, 2, 3, 4, 4, 4, 5, 6}, what is the median?
- 3
- 4
- 3.5
- 4.5
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Answer: B. 4
The dataset is already sorted and contains 9 numbers. The median is the middle number, which is the 5th number. The 5th number is 4.
If the median of the dataset {5, 10, 15, 20, 25} is 15, and the number 20 is removed, what is the new median?
- 15
- 12.5
- 10
- 17.5
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Answer: B. 12.5
The original dataset is {5, 10, 15, 20, 25}. The median is 15. When 20 is removed, the dataset becomes {5, 10, 15, 25}. This is a set of 4 numbers. The median is the average of the 2nd and 3rd numbers: (10 + 15) / 2 = 25 / 2 = 12.5.