Which of the following averages cannot be calculated if the distribution has open-end classes at both extremes? MCQ with Answer and Explanation

Which of the following averages cannot be calculated if the distribution has open-end classes at both extremes?
A. Mode
B. Median
C. Arithmetic Mean
D. Quartiles
Answer: Option C
Solution (By JKSSB Mock Tests)
Mean requires precise midpoints for all classes. Open-end classes lack boundaries, making precise mean calculation impossible.

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Practice More Statistics Questions

Question #1
In a dataset with an even number of observations, the median is calculated as:
A. The middle observation
B. The most frequent observation
C. The average of the two middle observations
D. The weighted average of all observations

Correct Answer: Option C


Explanation:
For an even number of ordered observations, the median is the arithmetic mean of the two central values, ensuring it represents the center of the distribution.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The geometric mean is most appropriate for averaging:
A. Income levels
B. Heights
C. Test scores
D. Price ratios and growth rates

Correct Answer: Option D


Explanation:
Geometric mean is suitable for averaging ratios and percentage changes because it accounts for compounding.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which graphical representation is most appropriate for displaying a cumulative frequency distribution?
A. Pie chart
B. Ogive (cumulative frequency curve)
C. Histogram
D. Bar diagram

Correct Answer: Option B


Explanation:
An ogive plots cumulative frequencies against class boundaries, providing a visual representation of cumulative distribution and enabling estimation of medians and percentiles.

This question belongs to: Accountancy and Statistics Statistics