Practice Pakistan questions with answers and explanations.
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Exclude the overall median 8 and examine the lower half 2, 4, 6.
Its median is 4, which is Q1.
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Exclude the overall median 8 and examine the upper half 10, 12, 14.
Its median is 12, which is Q3.
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The interquartile range is Q3 - Q1.
Therefore, IQR = 34 - 18 = 16.
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The IQR is 8, so 1.5×IQR is 12.
The upper fence is Q3 + 12 = 30.
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The mean is 4 and squared deviations total 8.
Population variance is 8 ÷ 3 ≈ 2.67.
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The mean is 4 and squared deviations total 8.
Sample variance divides by n - 1, so 8 ÷ 2 = 4.
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A z-score gives signed distance from the mean in standard-deviation units.
Positive values lie above the mean.
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The values sum to 28 and there are four observations.
The arithmetic mean is 28 ÷ 4 = 7.
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A discrete variable takes countable values, usually integers.
The number of students cannot meaningfully take fractional values.
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The data are already ordered and contain five values.
The third value is the median, so the answer is 7.
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Continuous variables can take any value within an interval.
Weight can be measured to increasingly fine precision.
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With four ordered observations, average the two middle values.
The median is (4 + 8) ÷ 2 = 6.
