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Question

The following data gives the marks obtained by students in an exam.

Class intervalFrequencyBelow 105Below 2010Below 3023Below 4031Below 5045Below 6049

(i)Convert the cumulative distribution to a regular distribution.

(ii)Calculate the mode. [3 MARKS]

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Solution

Table: 1 Mark
Application: 2 Marks

Class IntervalFrequency0105102052030133040840501450604

Mode
=I+(f1f02f1f0f2)×h

=20+1352658×10

=26.15


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