Given the customer counts over nine weeks, which number could represent the customers in the tenth week without changing the range?

Given the customer counts over nine weeks, which number could represent the customers in the tenth week without changing the range?

• A. 39
• B. 41
• C. 73
• D. 132

Answer: (C)

To determine which number could represent the customers in the tenth week without changing the range, it's essential to understand what range means in a set of data. The range is calculated by subtracting the minimum value from the maximum value in the dataset. For the range to remain unchanged, the new value for the tenth week must either be equal to the minimum or maximum value of the existing dataset. By choosing a number that falls outside the current minimum or maximum, you would either increase the maximum or decrease the minimum, ultimately altering the range. In this case, if 73 is the highest number in your current data set and is equal to the maximum, no other number that is lower than or equal to the minimum or higher than this maximum can be added without adjusting the range. Hence, it remains unchanged. Therefore, 73 would not affect the maximum or minimum values already established, allowing the range to stay the same. This is why it is the correct answer.

To determine which number could represent the customers in the tenth week without changing the range, it's essential to understand what range means in a set of data. The range is calculated by subtracting the minimum value from the maximum value in the dataset.

For the range to remain unchanged, the new value for the tenth week must either be equal to the minimum or maximum value of the existing dataset. By choosing a number that falls outside the current minimum or maximum, you would either increase the maximum or decrease the minimum, ultimately altering the range.

In this case, if 73 is the highest number in your current data set and is equal to the maximum, no other number that is lower than or equal to the minimum or higher than this maximum can be added without adjusting the range. Hence, it remains unchanged.

Therefore, 73 would not affect the maximum or minimum values already established, allowing the range to stay the same. This is why it is the correct answer.