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STALIN [3.7K]
2 years ago
8

The mean, median, and unique mode of the positive integers 3, 4, 5, 6, 6, 7, and xare all equal. What is the value of x

Mathematics
1 answer:
prisoha [69]2 years ago
5 0

Given :

Positive integers 3, 4, 5, 6, 6, 7, and x are all equal.

To Find :

The mean, median, and unique mode are all equal , find x.

Solution :

mean = \dfrac{3+4+5+6+6+7+x}{7}

Median is the middle number in sorted list.

So, median = 6

Also, mode is the number with highest frequency.

mode = 6

So,

mean = mode = median

\dfrac{31+x}{7}=6=6\\\\x = 11

Hence, this is the required solution.

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