Allied & ICAR Exam Bank • ALLIED_2443 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

In a grouped frequency distribution, the modal class is 30-40 with frequency $f_1 = 20$. The preceding class has frequency $f_0 = 12$ and the succeeding class has frequency $f_2 = 14$. The estimated mode using the standard formula $L + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h$ is:

Options:

  • (A) 35.71
  • (B) 34.50
  • (C) 36.25
  • (D) 35.00

Answer Key:

A

Step-by-Step Solution & Explanation

Mode $= 30 + \frac{20 - 12}{2(20) - 12 - 14} \times 10 = 30 + \frac{8}{40 - 26} \times 10 = 30 + \frac{80}{14} = 30 + 5.714 = 35.71$.
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