Set Theory and Simple Statistical Concepts — Important Questions
ICSE · Class 11 · Artificial Intelligence
65 important questions from Set Theory and Simple Statistical Concepts for ICSE Class 11 Artificial Intelligence, with answers.
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Important Questions from Set Theory and Simple Statistical Concepts
A dataset has values 12, 15, 15, 18, and 20. Find the median and the mode together.
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Median = 15, Mode = 15
The data are already in numerical order. The middle value is 15, so the median is 15. The value 15 occurs most frequently, so the mode is also 15.
A dataset has values 3, 3, 3, 3, and 3. Find the variance condition and the standard deviation condition.
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Variance is zero, Standard deviation shows no dispersion from the mean
A variance of zero means all values are identical. When all values are the same, there is no variation from the average mean, so standard deviation is also zero.
A class has data values 2, 4, 6, 8, and 10. Find the mean and the median.
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Mean = 6, Median = 6
Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6. The ordered data have 6 as the middle value, so the median is 6.
A dataset has values 1, 2, 2, 3, 3, 3. Identify all correct statements about its mode.
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The mode is 3, The dataset has one mode
The value 3 appears most frequently. Since only one value appears most often, the dataset has one mode.
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