Construct a frequency distribution table for the numbers given be… - Vidyadip

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

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Answer

Class Interval	Tally	Frequency	c.f.
21-30	\|\| \|\|	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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