A small accounting firm has 4 accountants who each earn

a different salary between $50,000 and $60,000. For

extra help during tax season, they hire a 5th accountant

who earns $10,000. Show data

How will hiring the 5th accountant affect the mean

and median?

Choose 1 answer:

Both the mean and median will decrease, but the

median will decrease by more than the mean.

Both the mean and median will decrease, but the

mean will decrease by more than the median.

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The mean will decrease, and the median will increase.

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The median will decrease, and the mean will increase.

Respuesta :

Answer:

Both the mean and median will decrease, but the

median will decrease by more than the mean

Step-by-step explanation:

The mean is an expression giving to the average earning of the Accountants.

Average defined is total earnings divided by total Accountants hired.

When they were 4 in number and earned between $50,000 to $60,000.

One can assume the average is the mid range of this number or worked out as [($50,000 x 2) + ($60,000 x 2)] divided by 4

= 220,000 / 4 = $55,000

When the 5th Accountant was hired, because he earns very low compared to the others; the average will decline thus:

= (220,000 + $10,000) divided by 5 = $46,000

Whereas the Median would have fallen sharply from $55,000 to $35,000.

That is; ($60,000 + $10,000)/2 = $35,000