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

Q1. [1] § 13.5 Summary
While calculating mean of a grouped frequency distribution, step deviation method was used $\left(\frac{x - a}{h} = u\right)$. It was found that $\bar{x} = 64$, $h = 5$ and $a = 62.5$. The value of $\bar{u}$ is
  1. (A) $0.5$
  2. (B) $1.5$
  3. (C) $0.3$
  4. (D) $7.5$
Previously asked in CBSE board exam
2026 30/5/1 Q6
Generated by claude-sonnet-4-6 · 2026-06-15 10:36 · grounding rag
Model Answer

(A) 0.3

Using the step-deviation formula: $\bar{x} = a + h\bar{u}$

$$64 = 62.5 + 5 \times \bar{u} \implies 5\bar{u} = 1.5 \implies \bar{u} = 0.3$$

Explanation

The key formula is $\bar{x} = a + h\bar{u}$. Substitute the known values ($\bar{x} = 64$, $a = 62.5$, $h = 5$) and solve for $\bar{u}$. Many students mistakenly choose 0.5 (dividing 1.5 by 3) or 1.5 (forgetting to divide by $h$). Always isolate $\bar{u}$ by dividing the difference $(\bar{x} - a)$ by $h$.

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