An analysis of the Median and Inter-quartile Range from a rating scale by assigning weights and without assigning weights to members of the same score

Abstract

Median is the middle score of that data. The meaning that midpoint to represent that there is one half greater than and one less than that score. The finding that Median and Interquartile Range for a rating scale that median formula cannot be used, whereas frequency distribution generally does not have low variance. This will increase the median value of the variance of the measurement result (Variable). With an important step to check the score marks for each score of that rating scale, then consider the median position (Q2) or Q1 Q3 that you want to find in which score range. The weight of each frequency in that score range is then determined using the formula W (weight) = 1 / f (total frequency in the score range). Finally, the median (Mdn) is determined by the formula Mdn. = (f × Weight) + L (lower limit of the previous layer) yields a median (Mdn) with a variance greater than using the conventional frequency distribution.