(Thinking question) The following is a “less than” cumulative frequency table. Prepare the ordinary frequency table and find the mode.MarksLess than 10Less than 20Less than 30Less than 40Less than 50No. of students512253340

Q.25 (Thinking question) The following is a “less than” cumulative frequency table. Prepare the ordinary frequency table and find the mode.

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
No. of students	5	12	25	33	40

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Frequencies 5, 7, 13, 8, 7; Mode = 25.45 (approx.)

Each class frequency is the difference of consecutive cumulative frequencies.

Modal class = 20–30. L = 20, \(f_1 = 13\), \(f_0 = 7\), \(f_2 = 8\), h = 10

\(\text{Mode} = L + \left[ \dfrac{f_1 - f_0}{2f_1 - f_0 - f_2} \right] \times h\)

\(= 20 + \left[ \dfrac{13 - 7}{26 - 7 - 8} \right] \times 10 = 20 + \dfrac{60}{11} = 20 + 5.45 = 25.45\)

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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