What percent of the score in a distribution fall between the median an the third quartile?
33, 25, 65, 50???
To determine the percentage of scores that fall between the median and the third quartile in a distribution, we first need to find the median and the third quartile.
To find the median, we arrange the scores in ascending order and find the middle value. In this case, the order is 25, 33, 50, 65. As there are four numbers, the middle two numbers are 33 and 50. Therefore, the median is 41.5.
To find the third quartile, we need to first find the median of the upper half of the data. In this case, the upper half of the data is 50 and 65. The middle value of these two numbers is the third quartile. Since there are only two numbers, the third quartile is equal to the higher value, which is 65.
Now, we can calculate the percentage of scores between the median and the third quartile. To do this, we find the number of scores that fall between the median and the third quartile, which is 1 (the score of 50), and divide it by the total number of scores, which is 4. The fraction is 1/4 or 0.25.
To express this fraction as a percentage, we multiply it by 100. Therefore, 0.25 x 100 = 25%.
So, 25% of the scores in the given distribution fall between the median and the third quartile.