What is the median of this sales-receipt data? $25, $34, $41, $48

Rationale

The median of the sales-receipt data is $41.

To find the median, the data must be arranged in ascending order, which is already the case here: $25, $34, $41, $48. Since there are four numbers, the median is the average of the two middle numbers ($34 and $41), resulting in a median of $41.

A ($25) YOUR ANSWER

This choice represents the lowest value in the data set and is not a middle value. The median is determined by the central tendency of the data, and $25 does not reflect that position within the ordered sequence.

B ($34) YOUR ANSWER

While $34 is one of the middle values in the data set, it is not the median. The median requires averaging the two central numbers when there is an even count of data points, which in this case are $34 and $41. Therefore, $34 alone cannot be considered the median.

C ($41) CORRECT

This is the correct answer as it is the average of the two middle values ($34 and $41) in the ordered data set. The median represents the value that separates the higher half from the lower half of the data, and in this case, it is determined to be $41.

D ($48) YOUR ANSWER

This choice is the highest value in the data set and does not represent a central value. The median is about the middle data points, and $48 does not belong in that calculation as it is outside the range of the two central figures.

Conclusion

The median is a measure of central tendency that effectively summarizes a data set, particularly when it is presented in an ordered form. For the given sales-receipt data, the median value is $41, derived from averaging the two central numbers, $34 and $41. This process highlights the importance of identifying the correct central value and understanding how it differs from other statistical measures such as the minimum or maximum values.

What is the median of this sales-receipt data? $25, $34, $41, $48

The median of the sales-receipt data is $41.

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