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The Average of five numbers is 100. Four of the numbers are 1,2,3
and 4. Find the fifth number.


Sagot :

Answer:

Let the 5th number be x.

We know that:

[tex]\sf Average = \dfrac{Sum \ of \ numbers}{Number \ of \ observations}[/tex]

  • Sum = 1+2+3+4+x = 10 + x
  • Number of observations = 5.
  • Average is already given, i.e., 100.

Substitute.

[tex]\sf 100 = \dfrac{10+x}{5}[/tex]

[tex]\sf x=500-10[/tex]

[tex]\boxed{\sf{\red{x=490}}}[/tex]

The 5th number is 490

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