Quinn mailed four postcards that each cost $0.25, five letters that each cost $0.44, two large envelopes that each cost $0.80, and one small package for $5.10. which cost on the list of mailing fees on quinn’s receipt would skew the mean?

quinn mailed four postcards that each cost $0.25, five letters that each cost $0.44, two large envelopes that each cost $0.80, and one small package for $5.10. which cost on the list of mailing fees on quinn’s receipt would skew the mean?

Answer:
To determine which cost on Quinn’s receipt would skew the mean, we need to calculate the mean (average) of all the mailing fees and identify any values that may significantly deviate from the rest.

Let’s calculate the mean of the mailing fees provided:
Total cost of postcards = 4 * $0.25 = $1.00
Total cost of letters = 5 * $0.44 = $2.20
Total cost of large envelopes = 2 * $0.80 = $1.60
Cost of small package = $5.10

Total cost of all items = $1.00 + $2.20 + $1.60 + $5.10 = $10.90

Total number of items = 4 (postcards) + 5 (letters) + 2 (large envelopes) + 1 (small package) = 12 items

Mean (average) of mailing fees = Total cost / Total number of items = $10.90 / 12 = $0.9083 (rounded to four decimal places)

Now, let’s examine each cost on the list:

  1. Postcards cost $0.25 each: This cost is close to the mean and wouldn’t significantly skew the mean.

  2. Letters cost $0.44 each: This cost is also relatively close to the mean and would not have a large impact on skewing the mean.

  3. Large envelopes cost $0.80 each: Again, this cost is in line with the mean and does not significantly deviate.

  4. Small package cost $5.10: This cost is substantially higher than the mean and would have a significant impact on skewing the mean.

Based on the calculations, the cost that would skew the mean on Quinn’s receipt is the $5.10 for the small package.