Question Bank - Mathematics

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Calculate the mode of the following frequency distributionSeconds51-5556-6061-6566-70Frequency2784

A.
61.8
B.
62.5
C.
64.5
D.
63.5

Solution:

GivenModal class = 61 “ 65 ( Highest frequency = 8)L = 61I = 4fo = 7f1 = 8f2 = 4FormulaMode = L + [(f1 “ f0)/(2f1 “ f0 “ f2)] × II = class interval or class sizef1 = frequency of modal classfo = frequency of pre modal classf2 = frequency of success modal classL = lower limit of modal classCalculationSecondsFrequency51 “ 55256 - 60761 “ 65866 - 704 Mode = 61 + [(8 “ 7)/(2 × 8 “ 7 “ 4)] × 4? 61 + [(1/(16 “ 11)] × 4? 61 + (1/5) × 4? 61 + 4/5? The mode is 61.8

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