The following table shows the marks obtained by students in a test. Find the mode of the data.MarksNo. of Students0—10510—20820—301430—40940—504

Q.4 (iii) The following table shows the marks obtained by students in a test. Find the mode of the data.

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc 10th Save WhatsApp Report

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Answer: Mode \(\approx 25.45\) marks

The highest frequency is 14, so the modal class is 20—30.

\(L = 20\), \(f_1 = 14\), \(f_0 = 8\), \(f_2 = 9\), \(h = 10\).

Mode \(= L + \left[\dfrac{f_1 - f_0}{2f_1 - f_0 - f_2}\right] \times h = 20 + \left[\dfrac{14 - 8}{28 - 8 - 9}\right] \times 10\)

\(= 20 + \dfrac{6}{11} \times 10 = 20 + \dfrac{60}{11} = 20 + 5.45 = 25.45\).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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