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Graphical Representation — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsGraphical Representation3 Marks
Question
Construct a frequency distribution table for the numbers given below, using the class intervals
21 – 30, 31 – 40 ………… etc.
75, 65, 57, 26, 33,44, 58, 67, 75, 78, 43, 41, 31, 21, 32, 40, 62, 54, 69, 48, 47, 51, 38, 39, 43, 61, 63, 68, 53, 56, 49, 59, 37, 40, 68, 23, 28, 36 and 47.
Use the table obtained to draw: (1) a histrogram (2) an ogive
✓

Answer

Class Interval Tally Frequency c.f.
20-30 || || 4 4
31-40 ∦∦ ∥∥ 9 13
41-50 ∦∦ ∥∥ 9 22
51-60 ∦∦ ∥ 7 29
61-70 ∦∦ ∥l 8 37
71-80 ∥l 3 40



Plot the points (30,4), (40,13), (50,22), (60,29), (70,37) and (80,40) on the graph and join them with free hand to obtain an ogive.

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