Answer:
$3.50
Step-by-step explanation:
The total cost for the 12 items is $3.25×12 = $39.00.
For the 13 items that include the pie, the total cost is ...
$39.00 +6.50 = $45.50
so the new mean cost of those 13 items is ...
$45.50/13 = $3.50
_____
Alternate solution
You can recognize that the added item differs from the mean cost by ...
$6.50 -3.25 = 3.25
The new mean will be the old mean with 1/13 of this difference added:
new mean = $3.25 + (3.25/13) = $3.25 +0.25
new mean = $3.50
The new mean is 3.50
Since Adkins picked up 12 items in the grocery store with a mean cost of 3.25, the total cost will be:
= 12 × 3.25
= 39
Since he later added another item that costs 6.50, the total cost will be:
= 39 + 6.50
= 45.50
Therefore, the mean of the 13 items will be :
= Total cost / Number of items
= 45.50/13
= 3.5
Therefore, the mean is 3.50
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