Final answer:
The addition of a fourth print priced at $45 to the existing three prints changes the median cost of the prints from $35 to $40, resulting in a change of $5.Therefore, the median cost of the prints would change by $5, so the correct answer is A. $5.
Step-by-step explanation:
The task is to determine how the median cost of poster prints sold at an art gallery would change with the addition of a fourth print priced at $45.
Initially, the prices of the three prints are $26, $35, and $50. The median of these three numbers is $35, as it's the middle value. When a fourth print costing $45 is added, the prices become $26, $35, $45, and $50. Arranging these in ascending order we have four numbers, so we take the average of the middle two numbers, which are $35 and $45. The average of these numbers is $(35 + 45) / 2 = $40.
Before adding the fourth print, the median was $35. After adding the fourth print, it becomes $40. The difference between the medians is $40 - $35, which is $5. Therefore, the median cost of the prints changes by $5.To find the change in the median cost of the prints, we need to calculate the current median and the median if the fourth print is included.
Currently, the poster prints cost $26, $35, and $50. The median is the middle value, which in this case is $35.
If we add the fourth print for $45, the new prices would be $26, $35, $45, and $50. The new median would be the middle value, which is $40.
Therefore, the median cost of the prints would change by $5, so the correct answer is A. $5.