On April 15, a baseball stadium sells Jackie Robinson merchandise to honor the day that

he became the first Black athlete to play in a Major League Baseball game in the modern
era. The prices and quantities of the Jackie Robinson items in the store when it opens are
summarized in the histogram.

The store sells a keepsake baseball for $9.49. Use the drop-down menus to explain how
this sale will affect the mean and the range of the prices of the remaining Jackie
Robinson items in the store.

Jackie Robinson Merchandise

16

14

12
10

8

6

86420

4

2

0

Number of Items in Store

0-9.99 10.00- 20.00- 30.00- 40.00-
49.99

19.99

29.99
Price ($)

39.99

Click the arrows to choose an answer from each menu.

Based on the histogram, the mean price of the Jackie Robinson merchandise after the keepsake

baseball is sold will

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range of item prices after the sale will

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because

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. Based on the histogram, the

because

4

1 answer

Based on the information provided, here’s how the sale of the keepsake baseball for $9.49 will affect the mean and the range of the prices of the remaining Jackie Robinson items in the store.

  1. Mean Price Impact:

    • After the sale of the keepsake baseball for $9.49, the mean price of the Jackie Robinson merchandise will decrease.
    • This is because the sold item (priced at $9.49) is below the average price of the remaining items. A lower priced item being taken out lowers the overall average.
  2. Range of Item Prices Impact:

    • The range of item prices after the sale will stay the same.
    • The range is defined as the difference between the highest and lowest prices. Since the keepsake baseball is sold and is not the highest priced item, the highest price remains unchanged, and the lowest price will be the next lowest item if the baseball was the lowest.

So, putting it together:

Based on the histogram, the mean price of the Jackie Robinson merchandise after the keepsake baseball is sold will decrease because the sold item is lower than the average price of the remaining items in the store. The range of item prices after the sale will stay the same because the highest price remains unchanged and the lowest price will remain the next lowest item.