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

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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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