For which set of data is the median 15?
89, 75, 90, 15, 74, 88, 89
23, 35, 77, 81, 64, 15, 44
14, 15, 15, 15, 18, 18, 19, 19, 20
8, 20, 17, 21, 14, 15, 9
To find the median, arrange score in order of value. Which has 15 as the middle-most value?
To determine which set of data has a median of 15, we need to find the median of each set. The median is the middle value when the data is arranged in ascending order.
Let's calculate the median for each set:
1. Set 1: 15, 74, 75, 88, 89, 89, 90
The median is the middle value, which is 88. Since 88 is not equal to 15, this set does not have a median of 15.
2. Set 2: 15, 23, 35, 44, 64, 77, 81
The median is the middle value, which is 44. Since 44 is not equal to 15, this set does not have a median of 15.
3. Set 3: 14, 15, 15, 15, 18, 18, 19, 19, 20
The median is the middle value, which is 18. Since 18 is not equal to 15, this set does not have a median of 15.
4. Set 4: 8, 9, 14, 15, 17, 20, 21
The median is the middle value, which is 15.
Since the median of this set is indeed 15, this set of data has a median of 15.