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Answer :
Final answer:
The distribution of ice cream scoops sold per day that maintains an average of 224 scoops and a mode of 220 scoops is: 220, 220, 220, 224, 230, 230.
Explanation:
Assuming on average, the ice cream shop sells 224 scoops of ice cream a day for six days, for a total of 1344 scoops. The mode, or the most frequently sold number, is 220 scoops. To maintain the average and the mode, the distribution would be: 220, 220, 220, 224, 230, 230.
Here's why:
- The total number of scoops sold over six days is 224*6= 1344 scoops.
- The shop sold 220 scoops for three days to maintain the mode of 220 scoops a day.
- The remaining scoops (1344 - 660 = 684) are distributed between the remaining 3 days. Two of these days have 230 scoops each (460 total), the fourth day has the remaining 224 scoops to keep the daily average of 224 scoops a day.
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