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The mean of the following data is 9.5, 5, x, 11, 12, 15, x, x, 5, 7What is the value of x?Question response areaSelect one option  1  61030

Question

The mean of the following data is 9.5, 5, x, 11, 12, 15, x, x, 5, 7What is the value of x?Question response areaSelect one option  1  61030

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Solution

To find the value of x, we first need to understand that the mean (average) of a set of numbers is the sum of the numbers divided by the quantity of numbers.

Given that the mean of the data is 9.5, we can set up the following equation:

(9.5 + 5 + x + 11 + 12 + 15 + x + x + 5 + 7) / 10 = 9.5

Simplify the equation by adding the known numbers:

(64.5 + 3x) / 10 = 9.5

Multiply both sides of the equation by 10 to get rid of the denominator:

64.5 + 3x = 95

Subtract 64.5 from both sides of the equation:

3x = 30.5

Finally, divide both sides of the equation by 3 to solve for x:

x = 30.5 / 3

x = 10.17 (rounded to two decimal places)

So, the value of x is approximately 10.17.

This problem has been solved

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