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Let x be the mode of the data 23, 26, 22, 20, 24, 20, 26, 24, 26, 23, 20, 24, 28, 22, 26. If 22 is replaced by 24, then the mode of the data is y. What approx % of the new mode is the old mode? 

Let x be the mode of the data 23, 26, 22, 20, 24, 20, 26, 24, 26, 23, 20, 24, 28, 22, 26. If 22 is replaced by 24, then the mode of the data is y. What approx % of the new mode is the old mode?  Correct Answer 108%

Calculation:

Case:1

Number Frequency
20 3
22 2
23 2
24 3
26 4
28 1
Total 15


Number 26 is repeated maximum time so, mode is 26

Case:2

Number Frequency
20 3
23 2
24 5
26 4
28 1
Total 15


Number 24 is repeated maximum time so, mode is 24.

New mode = 24

Old mode = 26

According to question: 

24 × x/100 = 26

x = 108% approx

The correct option is 2 i.e. 108%

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