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Question

In a school the weekly pocket money of 50 students is as follows

Draw a histogram & a frequency polygon on the same graph. Find the mode from the graph.


A

68

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B

72

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C

70

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D

78

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E

80

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Solution

The correct option is

B

72



You can solve problem normally with Graph Paper.

However, in this particular you could additionally solve it much faster with simple logic -

Frequency = 50

Mode is between 25th and 26th item which is between 70 and 80.

As frequency of marks between 70 and 80 > frequency of marks between 80 and 90, mode must lie somewhere between 70 and 75.

Of the options given, 72 is the only option that satisfies this condition.

Thus, Mode = 72



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