The mode of the data 9, x, 6, 3, 4, 9, 8, 6, 4, 6 is 6. Which of the following cannot be the value of x

(a) 8 (b) 7 (c) 6 (d) 9

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Solution

Arranging the data 9, 6, 3, 4, 9, 8, 6, 4, 6 in ascending order, we get
3, 4, 4, 6, 6, 6, 8, 9, 9
Since the mode of the data is 6, so the value of x cannot be 4 or 9.
Hence, the correct option is (d).

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