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}
5 answers
The data set with the highest median is {11, 15, 16, 8, 12, 14}.
may you explain you answer bot please
Certainly! To find the median of a data set, we arrange the numbers in order from smallest to largest, and then find the middle value.
For the first data set {1, 10, 8, 29, 14, 17, 3}, when we arrange the numbers in order we get:
1, 3, 8, 10, 14, 17, 29
The middle value is 10, so the median is 10.
For the second data set {11, 15, 16, 8, 12, 14}, when we arrange the numbers in order we get:
8, 11, 12, 14, 15, 16
The middle values are 14 and 15 (because there are an even number of values), so to find the median we take the average of these two values.
(14 + 15) / 2 = 14.5
So the median of this set is 14.5.
For the third data set {8, 20, 13, 14, 12, 9}, when we arrange the numbers in order we get:
8, 9, 12, 13, 14, 20
The middle value is 13, so the median is 13.
For the fourth data set {1, 6, 15, 7, 15, 18, 14}, when we arrange the numbers in order we get:
1, 6, 7, 14, 15, 15, 18
The middle value is 14, so the median is 14.
Therefore, we see that the second data set {11, 15, 16, 8, 12, 14} has the highest median, which is 14.5.
For the first data set {1, 10, 8, 29, 14, 17, 3}, when we arrange the numbers in order we get:
1, 3, 8, 10, 14, 17, 29
The middle value is 10, so the median is 10.
For the second data set {11, 15, 16, 8, 12, 14}, when we arrange the numbers in order we get:
8, 11, 12, 14, 15, 16
The middle values are 14 and 15 (because there are an even number of values), so to find the median we take the average of these two values.
(14 + 15) / 2 = 14.5
So the median of this set is 14.5.
For the third data set {8, 20, 13, 14, 12, 9}, when we arrange the numbers in order we get:
8, 9, 12, 13, 14, 20
The middle value is 13, so the median is 13.
For the fourth data set {1, 6, 15, 7, 15, 18, 14}, when we arrange the numbers in order we get:
1, 6, 7, 14, 15, 15, 18
The middle value is 14, so the median is 14.
Therefore, we see that the second data set {11, 15, 16, 8, 12, 14} has the highest median, which is 14.5.
the highest median is 14
wrong