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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 13.4 Median of Grouped Data
The distribution below gives the marks obtained by 80 students on a test. The modal class of this distribution is :
  1. A 10 – 20
  2. B 20 – 30
  3. C 30 – 40
  4. D 50 – 60
Previously asked in CBSE board exam
2023 30/1/1 Q11
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Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer

Converting to a frequency table: 0–10: 3, 10–20: 9, 20–30: 15, 30–40: 30, 40–50: 18, 50–60: 5.

The class with the highest frequency is 30–40.

Answer: (C) 30 – 40

Explanation

Convert the cumulative frequency table to a regular frequency table by subtracting successive values (e.g., 57 − 27 = 30 for 30–40). The class with the maximum frequency is the modal class. Here, 30–40 has frequency 30, which is the highest — so it is the modal class.

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