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Ariana was looking at rent costs for 5 apartments between $1,000 and $1,400 per month, except for one apartment whose rent was $4,800 per month. Ariana looked at the mean and median of the rents. Then, she decided to remove the $4,800 rent from the set and recalculate the mean and median.

User Jackinovik
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1 Answer

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First, Ariana calculated the mean (average) rent. To find the mean, you add up all the rents and divide by the number of apartments:

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5

Mean = 8,700 / 5

Mean = 1,740

So, the mean rent for the 5 apartments is $1,740 per month.

Next, Ariana calculated the median rent. To find the median, you arrange the rents in ascending order and find the middle value:

The rents in ascending order: $1,000, $1,200, $1,300, $1,400, $4,800

The middle value is $1,300.

So, the median rent for the 5 apartments is $1,300 per month.

Ariana decided to remove the $4,800 rent from the set and recalculate the mean and median without it.

Without the $4,800 rent, Ariana now has 4 apartment rents: $1,000, $1,200, $1,300, and $1,400.

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4

New Mean = 3,900 / 4

New Mean = 975

So, after removing the $4,800 rent, the mean rent for the remaining 4 apartments is $975 per month.

New Median = Since there are 4 rents, the median is the average of the middle two rents.

New Median = ($1,200 + $1,300) / 2

New Median = $2,500 / 2

New Median = $1,250

After removing the $4,800 rent, the median rent for the remaining 4 apartments is $1,250 per month.

User Shanoi
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