Which data set has the highest median?(1 point)
A. {11, 15, 16, 8, 12, 14}
B. {8, 20, 13, 14, 12, 9}
C. {1, 10, 8, 29, 14, 17, 3}
D. {1, 6, 15, 7, 15, 18, 14}
A. {11, 15, 16, 8, 12, 14}
To determine which data set has the highest median, we need to calculate the medians of each data set and compare them.
Let's calculate the medians for each data set:
A. {11, 15, 16, 8, 12, 14}
To find the median, we need to arrange the numbers in ascending order: {8, 11, 12, 14, 15, 16}
The median is the middle number, which in this case is 14.
B. {8, 20, 13, 14, 12, 9}
Arranging the numbers in ascending order: {8, 9, 12, 13, 14, 20}
The median is the middle number, which in this case is 13.
C. {1, 10, 8, 29, 14, 17, 3}
Arranging the numbers in ascending order: {1, 3, 8, 10, 14, 17, 29}
The median is the middle number, which in this case is 10.
D. {1, 6, 15, 7, 15, 18, 14}
Arranging the numbers in ascending order: {1, 6, 7, 14, 15, 15, 18}
The median is the middle number, which in this case is 14.
Comparing the medians of each data set:
A. Median: 14
B. Median: 13
C. Median: 10
D. Median: 14
From the calculations, we can see that data set A and data set D both have a median of 14, which is the highest among all the options. Therefore, the answer is A and D have the highest median.