For open-end classification, which of the following is the best measure of central tendency?
Options
AAM
BGM
CMedian
DMode
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Statistical Description of DataMTP May 19/ RTP Sep 24Question 2740 of 295
All Questions Correct Answer
✅ Option c — Median
All Options:
- AAM
- BGM
- CMedian
- DMode
Detailed Solution & Explanation
An open-end classification is one where the lower limit of the first class interval or the upper limit of the last class interval (or both) is unknown (e.g., 'Below 10' or '50 and above').
- Because these extreme limits are missing, we cannot calculate the mid-values for the first and last classes. As a result, measures of central tendency that require every class midpoint, such as the **Arithmetic Mean (AM)** and **Geometric Mean (GM)**, cannot be calculated at all.
- The **Mode** can sometimes be found if the modal class is not an open-end class, but mode is generally unstable and not the best measure of central tendency.
- The **Median** depends only on the class boundaries and the frequency of the median class. It is completely unaffected by the exact values of the extreme classes, making it the most reliable, stable, and best measure of central tendency for open-end distributions.
Hence, **Option C** is the correct answer.
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