Question

Bobby runs a small store. The total number of customers who shopped at the store during each of nine consecutive weeks is recorded in the chart shown. If the number of customers who shopped at the store during the tenth week were included in the data, the mean and median of the data would change but the range would not change. Which of the following could be the number of customers who shopped at the store during the tenth week?

1) 39
2) 41
3) 73
4) 132

Answer 1

The number of customers in the tenth week that would not change the range but would change the mean and median is either 41 or 73.

Step-by-step explanation:

The mean, median, and range of customer numbers at Bobby's store over nine weeks are given, and we are asked to identify the number of customers in the tenth week that would change the mean and median but not the range. Given that the range remains the same, the new number cannot be higher than the current maximum or lower than the current minimum.

As a result, 41 and 73 are possible options that would alter the mean and median but not extend beyond the previous maximum or minimum, thus keeping the range unchanged.