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Question
Comment on the applicability of mean, median and mode (hint: from their merits and demerits).
Answer in Brief
Solution
1. Mean:
- It is the simplest among all the measures of central tendency.
- It is based on all the items in a series. Hence, it is a representative value of different items.
- It is a value. It has no scope for estimated values.
- It is a stable form of central tendency.
- It can be used for comparison.
2. Median:
- Median is not affected by the extreme values of the series.
- For finding the median, only the middle values and their units are sufficient.
- Median can also be determined through the graphic representation of data.
- The median value is always certain in a series.
- The median value is a real value.
3. Mode:
- Mode is a very simple measure of central tendency.
- It is less affected by extreme and marginal values.
- Mode is the best representation of the series.
- It can also be determined graphically.
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Comparison of Mean, Median and Mode
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Chapter 2: Data Processing - Exercise [Page 31]