PUZZLED? COMPLETE ME... Complete the Cross Quantile Puzzle by finding the specified measures of position. Use linear interpolation. In filling the boxes, disregard the decimal point. For example, 14.3 should be written as 143 Given: Scores 5, 7, 12, 14, 15, 22, 25, 30,36, 42, 53, 65 n =<12 Across D_7 = 36.6 P_65 Pgo 9.P9 P Down 1. Q_2 3.P90 5. P_40 6.P52 7. P54 ample: Find D7 lution: 1. Position of D_7=7/10 =7/10 13=7 =9.1 9 ; 10th element 2. 5,7,12,14,15,22,25,30,36,42,53,65 42-36=6 3. 60.1=0.6 36+0.6 =36.6 D_7=36.6 TWO METHODS OF FINDING THE QUARTILE VALUE 1. Mendenhall and Sincich Method 2. Linear Interpolation- Is the process of finding a value between two points on a line or curve. Steps in Identifying the Quartile using Linear Interpolation 1. Arrange the data in ascending order 2. Locate the position of the score in the distribution. Position of Qk=& /4 n+1 3. If the result is a decimal number, proceed for the interpolation. Steps of Interpolation a. Find the difference between the two values wherein Qxis situated. b. Multiply the result by the decimal obtained in Step 2 in identifying the quartile using linear interpolation. c. Add the result in the smaller number in Step 1.
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