The fifth number is 50 and this can be determined by using the formula of the mean and also by using the arithmetic operations.
Given :
- The average (mean) of five numbers is 30.
-
Four of the numbers are 21, 29, 18, and 32.
Let the sum of five numbers be 'x'. Then the mean is given by the formula:
[tex]\rm Mean =\dfrac{Sum\;of\;all\;data}{Total \; number\;of\;data}[/tex]
Now, substitute the known values in the above expression.
[tex]30=\dfrac{x}{5}[/tex]
x = 30 [tex]\times[/tex] 5
x = 150
So, the sum of five numbers is 150 that is:
21 + 29 + 18 + 32 + a = 150
where 'a' is the fifth number.
Simplify the above expression in order to find the fifth number.
100 + a = 150
a = 150 - 100
a = 50
So, the fifth number is 50.
For more information, refer to the link given below:
https://brainly.com/question/1957976
