If the mode of scores 3, 4, 3, 5, 4, 6, 6, x is 4, find the value of x.

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Solution

The given data is.
The mode is the value which occur maximum number of times, that is, the mode has maximum frequency. If the maximum frequency occurs for more than 1 value, then the number of mode is more than 1 and is not unique.
Here it is given that the mode is 4. So, x must be 4, otherwise it contradicts that the mode is 4. Hence

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