Which of the following numbers represents the median of the following data set? 23, 19, 22, 17, 20, 18, 22

Rationale

20 represents the median of the data set.

To find the median, the data must first be arranged in ascending order: 17, 18, 19, 20, 22, 22, 23. With seven numbers in total, the median is the middle value, which is 20, as it is the fourth number in the ordered list.

A (20) CORRECT

This choice accurately identifies the median. In a set with an odd number of values, the median is determined by locating the middle number after sorting the data. In this case, 20 is the fourth number in the ordered list of seven values.

B (17) YOUR ANSWER

This option represents the smallest number in the dataset and does not reflect the central tendency of the data. The median is defined as the middle value, and 17 is positioned at the start of the ordered list, making it far from the center.

C (21) YOUR ANSWER

This choice does not appear in the dataset at all. The median must be a value that is present in the ordered list of data points, and since 21 is absent, it cannot be the median.

D (22) YOUR ANSWER

While 22 does appear in the dataset, it is not the median. In the ordered list, 22 is the fifth and sixth number, making it one of the higher values. The median must be the central value, which in this case is 20.

Conclusion

The median serves as a measure of central tendency, representing the middle of a data set. For the numbers provided, the correct median is 20, as it is the fourth number in the ordered sequence. Understanding how to calculate the median through ordering data is essential for accurate statistical analysis, distinguishing it from other measures such as mean or mode.

Which of the following numbers represents the median of the following data set? 23, 19, 22, 17, 20, 18, 22

20 represents the median of the data set.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test