fidelissoorbala fidelissoorbala
  • 12-09-2020
  • Mathematics
contestada

Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?

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jimrgrant1 jimrgrant1
  • 12-09-2020

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given 5 numbers with a mean of 12, then

[tex]\frac{sum}{5}[/tex] = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

[tex]\frac{60-x}{4}[/tex] = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

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