The numbers shown above are the weights, in pounds, of 9 pumpkins sold yesterday at a farm market. What is the median weight of the 9 pumpkins sold yesterday?

Rationale

The median weight of the 9 pumpkins sold yesterday is 4.65 pounds.

To find the median, we first need to arrange the weights in ascending order. With 9 weights, the median will be the fifth number in this ordered list, which is 4.65 pounds.

A (4.2) YOUR ANSWER

The value 4.2 is less than the fifth number in the ordered list of weights. It is likely one of the lower values in the dataset, but it does not represent the median, which is defined as the middle value of a sorted list.

B (4.5) YOUR ANSWER

While 4.5 is a possible weight of one of the pumpkins, it falls below the median position in the ordered list. The median must be the central value, and since 4.5 is not the fifth number, it cannot be the correct answer.

D (4.75) YOUR ANSWER

The weight of 4.75 is higher than the median weight of 4.65. In an ordered list, it occupies a position beyond the median, indicating that it is not the middle value in the dataset.

E (4.8) YOUR ANSWER

4.8 is also above the median weight and would be one of the larger weights in the dataset. As such, it cannot be the median, which must be the value that separates the lower half from the upper half of the ordered weights.

Conclusion

The median weight serves as a central tendency measure, effectively representing the middle value in an ordered set of data. In this case, the median weight of the 9 pumpkins is 4.65 pounds, as it is the fifth weight in the arranged list. All other choices either fall below or above this central value, confirming that they do not meet the criteria for being the median.

The numbers shown above are the weights, in pounds, of 9 pumpkins sold yesterday at a farm market. What is the median weight of the 9 pumpkins sold yesterday?

The median weight of the 9 pumpkins sold yesterday is 4.65 pounds.

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