The pair of averages whose value can be determined graphically?
Options
AMean and median
BMode and mean
CMode and median
DNone of these
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Statistical Description of DataMTP May 18Question 2726 of 295
All Questions Correct Answer
✅ Option c — Mode and median
All Options:
- AMean and median
- BMode and mean
- CMode and median
- DNone of these
Detailed Solution & Explanation
Among the measures of central tendency (Mean, Median, and Mode), only certain measures can be located or estimated graphically:
1. **Median**: Can be determined graphically using **Ogives** (cumulative frequency curves). By plotting the 'less than' and 'more than' ogives, their point of intersection projected onto the x-axis gives the median. Alternatively, it can be found from a single ogive at the point corresponding to .
2. **Mode**: Can be determined graphically using a **Histogram**. The class with the highest rectangle represents the modal class, and diagonal lines drawn from its top corners to the corners of adjacent rectangles locate the mode on the x-axis.
3. **Mean**: Cannot be determined graphically because its calculation requires summing all individual data values, which cannot be represented directly as a partition point or peak on standard frequency graphs.
Therefore, the pair of averages that can be determined graphically is **Mode and Median**, which corresponds to Option C.
Hence, **Option C** is the correct answer.
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