Assertion (A): For a frequency distribution with unequal class intervals, the histogram is drawn with the area of the rectangle proportional to the class frequency. Reason (R): When class widths are unequal, the frequency density must be used to construct the histogram. Choose the correct option: MCQ with Answer and Explanation
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Question #1
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If a group of 50 students has an average weight of 55 kg and another group of 30 students has an average weight of 45 kg, the combined average is:
Correct Answer: Option A
Explanation:
Sum = 50×55 + 30×45 = 2750 + 1350 = 4100, total = 80, mean = 4100/80 = 51.25.
Sum = 50×55 + 30×45 = 2750 + 1350 = 4100, total = 80, mean = 4100/80 = 51.25.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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Cumulative frequency for a class interval represents:
Correct Answer: Option A
Explanation:
Cumulative frequency is the running total of frequencies, calculated by adding the frequency of each class to the sum of frequencies of all preceding classes, useful for percentile calculations.
Cumulative frequency is the running total of frequencies, calculated by adding the frequency of each class to the sum of frequencies of all preceding classes, useful for percentile calculations.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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Which measure of central tendency is not affected by extreme values?
Correct Answer: Option C
Explanation:
The median depends only on the middle value(s) and is resistant to outliers.
The median depends only on the middle value(s) and is resistant to outliers.
This question belongs to:
Accountancy and Statistics
Statistics
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