Find the value of x such that the data set has the given mean. 101, 120, 104, 115, 108, x ; mean 117 x = Type an integer or a decimal)
We can start by using the formula for the mean:
mean = (sum of all the numbers in the data set) / (number of numbers in the data set)
We know the mean is 117, and we can plug in the values of the other numbers:
117 = (101 + 120 + 104 + 115 + 108 + x) / 6
Now we can solve for x by multiplying both sides by 6 and simplifying:
702 = 548 + x
154 = x
Therefore, the value of x that would give the data set a mean of 117 is 154.
To find the value of x such that the data set has a mean of 117, we can set up the equation:
(101 + 120 + 104 + 115 + 108 + x) / 6 = 117
First, let's add up the given numbers: 101 + 120 + 104 + 115 + 108 = 548.
Substituting this into the equation, we have:
(548 + x) / 6 = 117
Now, let's multiply both sides of the equation by 6 to isolate the numerator:
548 + x = 6 * 117
Simplifying the right side of the equation:
548 + x = 702
Next, we'll subtract 548 from both sides of the equation:
x = 702 - 548
Simplifying further:
x = 154
Therefore, the value of x that would make the mean of the data set equal to 117 is 154.