The mode is obtained from a collection of scores by selecting the score that occurs most frequently. In those cases where two scores both occur with the same greatest frequency, we say that each one is a mode and we refer to the data set as bimodal. If more than two scores occur with the same frequency, each is a mode and the data set is said to be multimodal. The scores 2,3,6,7,8,9,10 have no mode since no score is repeated. Find the percentile of scores less than 100.
Percentiles tell what proportion of students is at, above, or below a certain score.
Just as the median divides the data into two equal parts, the three quartiles, denoted by Q1, Q2, Q3 divide the ranked scores into 4 equal parts. Translated, this means we are looking at the amount of deviation of each score from the mean. It tells us how far from the average score each individual score is. It is the number of standard deviations that a given value is above or below the mean. It also tells us in a standardized, converted form, an individual score's relation to the mean.