Histogram is useful to determine graphically the value of
Options
AArithmetic mean
BMedian
CMode
DNone of these
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Statistical Description of DataPYQ Nov. 18Question 2681 of 295
All Questions Correct Answer
✅ Option c — Mode
All Options:
- AArithmetic mean
- BMedian
- CMode
- DNone of these
Detailed Solution & Explanation
In statistics, different graphical representations are used to determine or estimate the values of measures of central tendency:
1. **Mode**: The mode is the value that occurs most frequently in a dataset. In a grouped frequency distribution, it can be determined graphically using a **Histogram**. The class interval with the tallest bar is the modal class. By drawing two intersecting diagonal lines from the upper corners of the modal bar to the adjacent upper corners of the neighboring bars, the -coordinate of the intersection point of these diagonals gives the graphical estimate of the Mode.
2. **Median**: The median (and other partition values like quartiles, deciles, and percentiles) can be determined graphically using **Ogives** (cumulative frequency curves).
3. **Arithmetic Mean**: The arithmetic mean cannot be determined graphically because its value depends on the algebraic sum of all individual observations rather than relative heights or cumulative positions.
Therefore, a histogram is useful to determine graphically the value of the Mode. This corresponds to Option C.
Hence, **Option C** is the correct answer.
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