An initial manager collected the following sales receipt total from the shop’s cashier: $25, $22, $30, $54, $34, $41, $48. What is the median of the sales receipt data?

Rationale

The median of the sales receipt data is $34.

To find the median, the sales receipt totals must be arranged in ascending order: $22, $25, $30, $34, $41, and $48. With six numbers, the median is calculated by averaging the two middle values ($30 and $34), resulting in $34.

A ($25) YOUR ANSWER

This value represents the lowest sales receipt total in the dataset, which does not reflect the median. The median is determined by the middle value(s) of an ordered dataset, and $25 is not among the central values in this case.

B ($34) CORRECT

This is the correct choice. The median is calculated as the average of the two middle numbers ($30 and $34) in the ordered list. As there are an even number of values, $34 is the correct median value representing the center of the dataset.

C ($41) YOUR ANSWER

While $41 is one of the sales receipt totals, it is the fourth value in the ordered list. The median is defined as the average of the two central values for an even number of observations, making $41 an incorrect choice for the median.

D ($48) YOUR ANSWER

$48 is the highest sales receipt total in the dataset and does not represent the median. The median must be a value that is centrally located within the dataset, and since $48 is the last value when arranged in order, it cannot be the median.

Conclusion

In a dataset with an even number of observations, the median is found by averaging the two middle values. For the given sales receipts, the ordered list shows that the median is $34, derived from averaging $30 and $34. This measure accurately represents the midpoint of the sales data, distinguishing it from the extreme values in the set.

An initial manager collected the following sales receipt total from the shop’s cashier: $25, $22, $30, $54, $34, $41, $48. What is the median of the sales receipt data?

The median of the sales receipt data is $34.

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