What is the value of x in the dataset if the mean of the dataset is 34?
24, 28, 30, 50, 54, x
Responses
34
34
18
18
31
31
37.2
We can use the formula for calculating the mean:
(mean) = (sum of all values) / (number of values)
Substituting the given values:
34 = (24 + 28 + 30 + 50 + 54 + x) / 6
Multiplying both sides by 6:
204 = 24 + 28 + 30 + 50 + 54 + x
Combining like terms:
204 = 186 + x
Subtracting 186 from both sides:
18 = x
Therefore, the value of x in the dataset is 18.
To find the value of x in the dataset, we will use the formula for mean:
Mean = Sum of all values / Number of values
Given that the mean of the dataset is 34, we can set up the following equation:
(24 + 28 + 30 + 50 + 54 + x) / 6 = 34
To solve for x, we can start by multiplying both sides of the equation by 6:
24 + 28 + 30 + 50 + 54 + x = 34 * 6
Now, we can simplify:
186 + x = 204
To isolate x, we can subtract 186 from both sides:
x = 204 - 186
x = 18
Therefore, the value of x in the dataset is 18.
To find the value of x in the dataset, we need to find the mean of the dataset. The mean is computed by summing up all the values in the dataset and then dividing by the total number of values.
In this case, we have the values 24, 28, 30, 50, 54, and x. To find the mean, we sum up all these values:
24 + 28 + 30 + 50 + 54 + x
Now, since the mean is given as 34, we can set up the equation:
(24 + 28 + 30 + 50 + 54 + x) / 6 = 34
To solve for x, we can multiply both sides of the equation by 6 to eliminate the denominator:
24 + 28 + 30 + 50 + 54 + x = 34 * 6
Now, we can simplify the right side of the equation:
24 + 28 + 30 + 50 + 54 + x = 204
To isolate x, we can subtract the sum of the known values from both sides of the equation:
x = 204 - (24 + 28 + 30 + 50 + 54)
After calculating the sum of the known values, we can substitute it back into the equation:
x = 204 - 186
Finally, we can solve for x:
x = 18
So, the value of x in the dataset is 18.