Final answer:
The sale of the keepsake baseball will not affect the mean of the prices of the remaining Jackie Robinson items, but it will decrease the range of the prices.
Step-by-step explanation:
The sale of the keepsake baseball for $9.49 will not affect the mean of the prices of the remaining Jackie Robinson items in the store. The mean is calculated by summing the prices and dividing by the number of items, and since the sale price does not change, the mean will remain the same.
However, the sale will affect the range of the prices. The range is the difference between the highest and lowest prices. Since the sale reduces the highest price by $9.49, the range will decrease by that amount.
When a baseball stadium sells a keepsake baseball for $9.49 to honor Jackie Robinson, it affects the statistical measures of the remaining merchandise, specifically the mean (average) price and the range of prices.
To determine its effect on the mean, if the sold ball's price was lower than the current average, removing it would increase the remaining mean price of items. Conversely, if it was higher than the average, the mean would decrease. The range, which is the difference between the highest and lowest price, would be affected only if the sold ball's price was at the extreme ends of the price spectrum. Selling a ball priced at $9.49, which is within the lower bracket (0-9.99), does not change the high end of the range, but could potentially raise the low end if it was the only or last item in the lower price bracket, thereby potentially decreasing the range unless there are other items at the same price or lower.