96, 62, 80, 65, 92. What is the median of the list of integers shown?

Rationale

The median of the list of integers is 65.

To find the median, the numbers in the list must first be arranged in ascending order. The middle value in this ordered list represents the median, which in this case is 65.

A (62) YOUR ANSWER

While 62 is the smallest number in the list, it does not represent the median. The median is the middle value in a sorted list, and since there are five numbers, the median is the third number when arranged in order, which is not 62.

B (65) CORRECT

This is the correct choice. When the numbers 96, 62, 80, 65, and 92 are sorted in ascending order as 62, 65, 80, 92, and 96, the median is the third value, which is 65. Thus, it accurately represents the median of the dataset.

C (80) YOUR ANSWER

Although 80 is present in the list, it is not the median. In the ordered list, 80 is the fourth number, making it too high to be the middle value of this data set with an odd count of numbers.

D (96) YOUR ANSWER

96 is the largest number in the list and does not correspond to the median. In the context of the ordered list, it is the fifth value and does not fulfill the requirement of being the middle value.

E (92) YOUR ANSWER

92, while a significant number in the list, is not the median. It is the fourth value in the ordered list, which places it outside the median position in a set of five numbers.

Conclusion

To determine the median of a set of numbers, they must be arranged in ascending order to identify the middle value. In this case, the ordered list reveals that 65 is the median, as it occupies the central position among the five values provided. Each of the other options represents either a lower or higher value in the sorted list, confirming that only 65 accurately reflects the median of the dataset.

96, 62, 80, 65, 92. What is the median of the list of integers shown?

The median of the list of integers is 65.

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