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Question

The marks obtained by the sudents of a class, in an exam which was out of 50 marks,is given below.

Marks Number of students5172112163215246283325348396434452493

(i)Find mode for the ungrouped data.

(ii) Represent the same as grouped data, with class intervals of width = 10 and find the mode for the grouped data.

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Solution

The mode for the ungrouped data is the most frequent observation, which is 34.

Grouped data:

Class IntervalsFrequency01031020520301430401940509

Modal Class is 30-40.

Mode=I+(f1f02f1f0f2)×h

=30+191438149×10=33.33


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