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Worked Examples · Example 5
Q.

The marks obtained (out of 50) by 50 students in a test are grouped as follows. Draw a histogram to represent this distribution.

Marks0–1010–2020–3030–4040–50
Number of students41016128
West Bengal WbchseTextbookSubjectiveImportance★★★★★est
85% · 11/13 Questions
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Since the class widths are all equal (10 marks each), the histogram's rectangle heights are simply the class frequencies themselves, drawn directly against the class boundaries.

Step 1 — Verify the total. 4+10+16+12+84+10+16+12+8: 4+10=144+10=14, 14+16=3014+16=30, 30+12=4230+12=42, 42+8=5042+8=50 — matches the 50 students stated in the question, confirming no class was mistranscribed.

Step 2 — Draw the histogram. Mark class boundaries 0,10,20,30,40,500,10,20,30,40,50 on the X-axis and frequency on the Y-axis. Draw five rectangles, each of width 10, with heights 4,10,16,12,84, 10, 16, 12, 8 respectively, touching each other (no gaps, since the classes are continuous).

Figure 12 — Histogram of Marks of 50 Students
Figure 12 — Histogram of Marks of 50 Students
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