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The average (mean) of five numbers is 30.

Four of the numbers are 21, 29, 18 and 32.

What is the fifth number?

Sagot :

Answer:

50

Step-by-step explanation:

x/5 = 30

= 30 x 5

= 150

150 - (21 + 29+ 18 + 32)= 50

the fifth number is 50.

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