Which data set has the highest median?
a {11, 15, 16, 8, 12, 14}
b {8, 20, 13, 14, 12, 9}
c {1, 6, 15, 7, 15, 18, 14}
d {1, 10, 8, 29, 14, 17, 3}
c {1, 6, 15, 7, 15, 18, 14} has the highest median, which is 15.
To determine which dataset has the highest median, we need to calculate the median for each dataset. The median is the middle value in a set of numbers when they are arranged in ascending order.
a) {11, 15, 16, 8, 12, 14}
Arranging the numbers in ascending order: {8, 11, 12, 14, 15, 16}
The median is the middle value, which 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 value, which is 13.
c) {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 value, which is 14.
d) {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 value, which is 10.
Comparing the medians of each dataset, we can see that:
a) Median: 14
b) Median: 13
c) Median: 14
d) Median: 10
Among the given datasets, dataset a and c have the highest median value of 14.