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

1 answer

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.