Mathematics 10

Topic: Interpreting measures of position: quartiles, deciles, and percentile

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The Quartile for Grouped Data Recall that quartiles divide the distribution into four equal parts. How to interpret the result of the Data of Q1, Q2, and Q3 The steps in computing the median are similar to that of Q1 and Q3. In finding the median, we first need to determine the median class, In the same manner, the Q1 and the Q3 class must be determined first before computing for the value of Q1 and Q3. The Q1 class is the class interval where the( ~]th score is contained, while the class interval that contains the ( )th score is the Q3 class. In computing the quartiles of grouped data, the following formula is used: QX =LB +1 / FOR where: LB = lower boundary of the Qk class N = total frequency cfo= cumulative frequency of the class before the Ok class for = frequency of the Qk class i = size of class interval k = nth quartile, where n = 1, 2, and 3 Calculate the Q1, Q2, and Q3 of the Mathematics test scores of 50 students. Scores Frequency 46-50 41-45 Co 36-40 11 31-35 9 26-30 12 21-25 6 Solution: Scores Frequency Lower Less than Cumulative Frequency (f) boundary (