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  • If the mode of the following data 5, 8, 12, 10, 13, 14, 16, 13, 11, x, 9, 5 is 13, then what is the value of x?Option: 1 10<d

If the mode of the following data 5, 8, 12, 10, 13, 14, 16, 13, 11, x, 9, 5 is 13, then what is the value of x?

Option: 1

10


Option: 2

13


Option: 3

5


Option: 4

11


Answers (1)

best_answer

option (B) 13

The given data is,

5, 8, 12, 10, 13, 14, 16, 13, 11, x, 9, 5

Mode is defined as the data or value with maximum occurrence.

In the data set provided here, the mode is 13, hence 13 should occur the most number of times.

Excluding x and arranging the given data in ascending order, we obtain,

5, 5, 8, 9, 10, 11, 12, 13, 13, 14, 16

Here, 5 and 13 are occurring twice. 

Since 13 is the mode, it should occur more than twice. 

Therefore, the value of x should be 13 if the value of the mode is 13. 

Posted by

Ajit Kumar Dubey

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