Here is a data set (n 117) that has been sorted. 51.3 60.7 61 62.1 63.5 64.2 6.2

Question

Here is a data set (n 117) that has been sorted. 51.3 60.7 61 62.1 63.5 64.2 6.2 65.6 65.9 66.1 66.3 66.4 66.6 66.6 66.8 66.8 67.4 67.6 68.1 | 68.2 || 68.5 69.1 | 69.5 | 69.8 | 69.? 70.3 | 70.6 71.2 71.4 71.5 71.771.7 71.8 72.4 72.6 72.6 72.7 73 73 73 732 73.5 74.1 74.3 74.5 74.5 | 748 | 748 752 | 75.2 | 75? 75.2 || 756 | 75.8 | 75.9 76 76.1 76.2 76.3 76.3 76.3 76.7 76.7 76.7 76.8 76.9 77.1 77.1 77.78 78 78.2 78.5 78.6 78.7 78.8 78.8 78.9 79.1 79.2 79.6 79.8 79.8 80.4 80.5 80.8 81 81 81 82.3 82.5 82.6 82.6 82.8 83 83.1 83.4 83.5 84.1 84.5 84.6 84.9 85 85.2 85.5 85.8 86.1 86.3 86.3 86.8 86.9 8787.5 88.1 91.2 94.4 96 35 -30 -25 20 15 10 50 55 60 65 70 75 80 85 90 95 length (cm) Find the value for the 91-Percentile:

Explanation / Answer

P91 = (91/100)*117 th observation = 106.47 th observation

= 106 th observation + 0.47( 107th - 106th observation )

= 85.8 + 0.47 * (86.1 - 85.8)

= 85.941

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