Find the median for the scores: 92, 68, 72, 83, 72, 95, 88, 76, 72, 89,89, 96, 74, 72
arrange them in order. low to high.
The median is the middle score.
Since there is an even number of items, the median is the average of the two middle ones.
72
To find the median of a set of scores, you need to arrange the scores in ascending order and then find the middle number.
First, let's arrange the scores in ascending order:
68, 72, 72, 72, 72, 74, 76, 83, 88, 89, 89, 92, 95, 96
Next, we count the number of scores, which is 14. Since there is an even number of scores, we need to find the average of the middle two numbers.
The middle two numbers are the 7th and 8th numbers in the sorted list: 76 and 83.
To find the median, you add these two numbers and divide by 2:
(76 + 83)/2 = 159/2 = 79.5
Therefore, the median of the scores is 79.5.
To find the median for a given set of scores, you need to follow these steps:
1. Arrange the scores in ascending order: 68, 72, 72, 72, 72, 74, 76, 83, 88, 89, 89, 92, 95, 96.
2. Determine the middle number(s) of the set.
- If the number of scores is odd, the median is the middle number itself. In this case, there are 14 scores, so the middle number is the 7th score, which is 76.
- If the number of scores is even, the median is the average of the two middle numbers. In this case, there are 14 scores, so the two middle numbers are the 7th and 8th scores, which are 76 and 83. Taking the average, (76 + 83) / 2, we find that the median is 79.5.
Therefore, the median for the given scores: 92, 68, 72, 83, 72, 95, 88, 76, 72, 89, 89, 96, 74, 72, is 79.5.