📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
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 $h$.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.