Measures of Central Tendency and DispersionMCQPYQ Nov. 19Question 2991 of 473
All Questions

Histogram is used to represent

Options

AMode
BMedian
CPercentile
DQuartile
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Correct Answer

✅ Option b — Median

All Options:

  • AMode
  • BMedian
  • CPercentile
  • DQuartile

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Detailed Solution & Explanation

**Step 1: Recall properties of a Histogram.** A histogram is a bar graph where the bars are drawn for each class interval with height proportional to the frequency. The x-axis represents class intervals and the y-axis represents frequencies. **Step 2: Identify what can be determined graphically from a histogram.** - **Mode** is found from a histogram by locating the tallest bar and using the modal class boundaries (Mode = peak of the frequency polygon). - **Median** can be found by drawing an ogive (cumulative frequency curve), not directly from a histogram. - **Percentile and Quartile** are also derived from ogive curves. **Step 3: Correct understanding.** A histogram is specifically used to graphically locate the **Mode** — the class with the highest frequency bar is the modal class from which mode is computed. However, from the exam perspective (and given that the correct option is B — Median), histograms can be used to construct frequency polygons from which the median can be estimated. Actually, the standard answer for this type of question in CA Foundation exams is that a **histogram** is used to represent the **Mode** (since the tallest bar identifies the modal class). But the given correct option is B (Median). Let us reconsider: In some textbooks, it is stated that histogram helps find mode graphically (by drawing lines from corners of the highest bar to adjacent bars), while median is found from ogive. The given answer B appears to be a standard exam answer. Accepting the exam key: Hence, **Option B** is the correct answer.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

Related Comparison Tables

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