Which data set has the highest median?
{1, 10, 8, 29, 14, 17, 3}
{11, 15, 16, 8, 12, 14}
{8, 20, 13, 14, 12, 9}
{1, 6, 15, 7, 15, 18, 14}
The data set {1, 10, 8, 29, 14, 17, 3} has the highest median. The median of this data set is 10, which is higher than the medians of the other data sets.
To find out which data set has the highest median, we need to calculate the median of each dataset and compare them.
Dataset 1: {1, 10, 8, 29, 14, 17, 3}
To calculate the median, we first need to arrange the data in ascending order: {1, 3, 8, 10, 14, 17, 29}
Since the dataset has an odd number of data points, the median is the middle value, which is 10.
Dataset 2: {11, 15, 16, 8, 12, 14}
Again, arranging the data in ascending order: {8, 11, 12, 14, 15, 16}
Since the dataset has an even number of data points, the median is the average of the two middle values, which in this case is (12 + 14) / 2 = 13.
Dataset 3: {8, 20, 13, 14, 12, 9}
Arrange the data in ascending order: {8, 9, 12, 13, 14, 20}
Again, since the dataset has an even number of data points, the median is the average of the two middle values, which in this case is (12 + 13) / 2 = 12.5.
Dataset 4: {1, 6, 15, 7, 15, 18, 14}
Arrange the data in ascending order: {1, 6, 7, 14, 15, 15, 18}
Since the dataset has an odd number of data points, the median is the middle value, which is 14.
From the calculations, we can see that Dataset 1 has the highest median value, which is 10.