How do I find the value of x such that the data set has the given mean.
Example: 11,12,5,3,x;
Mean=7.4
sum=(7.4)5=37. 37-11-12-5-3=x=6.
(11+12+5+3+x)/5=7.4
31+x/5=7.4
Multiply both sides by 5
31+x=37
x=6
To find the value of x such that the data set has the given mean, you can use the formula for calculating the mean.
The formula for calculating the mean is:
Mean = (Sum of all the values in the dataset) / (Number of values in the dataset)
In this case, the mean is given as 7.4 and the dataset is 11, 12, 5, 3, x. We can set up an equation using the formula for calculating the mean:
7.4 = (11 + 12 + 5 + 3 + x) / 5
To find the value of x, we need to solve for x.
First, we can multiply both sides of the equation by 5 to get rid of the denominator:
5 * 7.4 = 11 + 12 + 5 + 3 + x
37 = 31 + x
Next, we can subtract 31 from both sides of the equation:
37 - 31 = 31 - 31 + x
6 = x
Therefore, the value of x that would make the mean of the given dataset equal to 7.4 is 6.