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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 [4 MARKS]

(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

Concept: 1 Mark
Application: 3 Marks

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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