Question

Find the value of x such that the data set 31.7,42.8,26.4, x has a mean of 35

Answer 1

The answer is 39.1
(31.7+42.8+26.4+x)/4=35
Multiply both sides by 4.
100.9 +x=140
Subtract 100.9 from both sides you get 39.1

Answer 2

Answer: The required value of x is 39.1.

Step-by-step explanation: Given that the mean of the following data set is 35.

`31.7,~42.8,~26.4,~x.`

We are to find the value of x.

To find the mean of a data set, we need to add all the values together and divide by the number of values in the set.

The sum of all the values in the given data is given by

`31.7+42.8+26.4+x\\\\=100.9+x.`

And the total number of values in the given data = 4.

Therefore, the MEAN of the data is

`(100.9+x)/(4)=35\\\\\\\Rightarrow 100.9+x=140\\\\\Rightarrow x=140-100.9\\\\\Rightarrow x=39.1.`

Thus, the required value of x is 39.1.