Question

Find the value of x such that the data set has the given mean.

Answer 1

The value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

According to the given question.

We have a data set 100, 122, 105, 115, 107, x .

Also, the mean of the data set is 108.

As we know that, mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Therefore, the mean of the data set 100, 122, 105, 115, 107, x is given by

Mean = [100 + 122 + 107 + 115+ 107 + x]/6

⇒ 108  × 6 = (551 + x)

⇒ 648  = 551 + x

⇒ x = 648 - 551

⇒ x = 97

Hence,the value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

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