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A small accounting firm has 4 accountants who each earn a different salary between $50,00 and $60,000. For extra help during tax season, they hire a 5th accountant who earns $10,000.​

User Mmmmmm
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1 Answer

2 votes

Answer:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information:

  • 4 accountants who each earn a different salary between $50,00 and $60,000.
  • 5th accountant earns $10,000

As we can notice that, the 5th staff has a smaller salary than the other 4 ones.

About the mean:

To ind the mean of a set of numbers you add them all up and divide by the amount of numbers. From now, we need to add more $10,000 but divide by 5 => the mean will decrease

Fx: Assume the 4 accountants earn the following salaries: $50,000, $53,000 $55000 and $60,000

=> Mean= (50,000+53,000+55,000+60,000)/4 =54500

New mean: (50,000+53,000+55,000+60,000 + 10,000)/5 = $32,250

About the median:

it's just the middle number.

Fx: Assume the 4 accountants earn the following salaries: $50,000, $53,000 $55000 and $60,000 ( arranged for least to biggest)

=> the median is: ($53000+$55,000)/2 = $54000

From now, we have : $10,000 $50,000, $53,000 $55000 $60,000

=> new median: $53,000

Therefore, Both the mean and the median will decrease, but the mean will decrease by more than the median.

Hope it will find you well.

A small accounting firm has 4 accountants who each earn a different salary between-example-1
User Jesuis
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