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Question

Question 9
Consider the data
Class658585105105125125145145165165185185205Frequency4513201474
The difference of the upper limit of the median class and the lower limit of the modal calss is
(a) 0
(b) 19
(c) 20
(d) 38

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Solution

ClassFrequencyCumulative frequency6585448510559105125132212514520421451651456165185763185205467
Here, N2=672=33.5 which lies in the interval 125-145.
Hence, upper limit of median calss is 145.
Here, we see that the highest frequency is 20 which lies in 125-145. Hence, the lower limit of modal class is 125.
Required difference =Upper limit of median class-Lower limit of modal class =145-125=20

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