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Answer :
Final answer:
To find X in the data set with the mean of 6, set up an equation using the mean formula, sum the known values, and solve for X to get the result. The value of X is 4.
Explanation:
To find the value of X in the data set 2, 8, 9, 7, 6, X if the mean of the data is 6, you will need to use the formula for the mean with the given numbers. The mean of a data set is the sum of all the values divided by the number of values. As we know the mean is 6, we can set up the equation:
(2 + 8 + 9 + 7 + 6 + X) / 6 = 6.
Multiply both sides of the equation by 6 to get:
2 + 8 + 9 + 7 + 6 + X = 36.
Add up the known values:
32 + X = 36.
To find X, subtract 32 from both sides:
X = 36 - 32.
X = 4.
The value of X in the data set is 4.
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