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Q.

A TV reporter was given a task to prepare a report on the rainfall of the city Dispur of India in a particular year. After collecting the data, he analyzed the data and prepared a report on the rainfall of the city. Using this report, he drew the following graph for a particular time period of 66 days.


A TV reporter was given a task to prepare a report on the rainfall of

Based on the above graph, obtain the Mode of the data if mean rainfall is 23.4cm and median rainfall is 21 cm.


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a

15.2 cm

b

17.5 cm

c

16.2 cm

d

13 cm 

answer is C.

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Detailed Solution

Given that Mean rainfall = 23.4 cm and Median rainfall of Dispur = 21.
We know the empirical relationship between the three measures of central tendency mean, mode, and median is
MODE = 3 Median - 2 Mean.
Substitute the given values in the above formula to find the mode of given data.
MODE=3×21−2×23.4  
MODE=63−46.8 MODE=16.2   Hence, the Mode of the data = 16.2 cm.
The correct option is (3).
 
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