Section: Math 0 Likes
Which statement best compares the medians of the data sets? (May 2023 U.S.)
Data set A: 2, 4, 6, 6, 8, 12
Data set B: 2, 4, 6, 6, 8, 12, 26
Two data sets are shown. Which statement best compares the medians of the data sets?
A) The median of data set A is greater than the median of data set B.
B) The median of data set A is less than the median of data set B.
C) The medians of data sets A and B are equal.
D) There is not enough information to compare the medians.
Solution
Correct answer: C) The medians of data sets A and B are equal.
Data set A: 2, 4, 6, 6, 8, 12
To find the median, we first need to arrange the data in ascending order:
2, 4, 6, 6, 8, 12
The median is the middle value, which in this case is 6.
Data set B: 2, 4, 6, 6, 8, 12, 26
To find the median, we first need to arrange the data in ascending order:
2, 4, 6, 6, 8, 12, 26
The median is the middle value, which in this case is also 6.
Comparing the medians:
The median of data set A is 6, and the median of data set B is also 6.
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Statistics, Comparison and Reasoning