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Q.

If the mode of 22,21,23,24,21,20,23,26,x,26 is 23, then x is


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a

20

b

21

c

23

d

24 

answer is C.

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Detailed Solution

The given data is 22,21,23,24,21,20,23,26,x,26.
The mode of the data is 23.
We can arrange the given data in ascending order as follows: [except x]
20,21,21,22,23,23,24,26,26
Mode is the most frequent occuring in the given data.
In this case, 23 is the mode and hence it should have the highest frequency.
If x=23, then 23 will repeat thrice. 21  26 will repeat twice.
Thus, for the mode fo the given data to be 23, x must be equal to 23.
Hence, the correct option is 3.
 
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If the mode of 22,21,23,24,21,20,23,26,x,26 is 23, then x is