Mathematics
The class marks of a distribution are 62, 67, 72, 77, 82 and 87. Find the class-size and class-limits.
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Answer
Class marks are 62, 67, 72, 77, 82 and 87.
Class size = 67 - 62 = 5
Half of class size = = 2.5
Class interval for first class mark = (62 - 2.5) - (62 + 2.5)
= 59.5 - 64.5
Class interval for second class mark = (67 - 2.5) - (67 + 2.5)
= 64.5 - 69.5
Class interval for third class mark = (72 - 2.5) - (72 + 2.5)
= 69.5 - 74.5
Class interval for fourth class mark = (77 - 2.5) - (77 + 2.5)
= 74.5 - 79.5
Class interval for fifth class mark = (82 - 2.5) - (82 + 2.5)
= 79.5 - 84.5
Class interval for sixth class mark = (87 - 2.5) - (87 + 2.5)
= 84.5 - 89.5
Hence, the class-size = 5 and class-limits = 59.5 - 64.5, 64.5 - 69.5, 69.5 - 74.5, 74.5 - 79.5, 79.5 - 84.5 and 84.5 - 89.5.
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