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This chapter delves into the intricate numerical patterns and variables derived from multi-phase calculations. It focuses on the interpretation and manipulation of data represented through sequences and mathematical expressions. The analysis covers a range of values, calculating averages, ratios, and deviations. By interpreting these numeric forms, we aim to provide insights into their relationships and significance in broader mathematical and statistical contexts. This work is essential for understanding complex data interactions and enhancing analytical skills in quantitative disciplines.
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(2) (3) (4) Xj f j Cum f up Cum f down 76 1 1 75 0 1 74 2 3 73 3 6 72 6 69 12 71 7 63 19 70 9 56 69 10 47 68 8 37 67 8 29 66 7 21 65 5 14 64 5 9 63 3 4 62 1 1 n = 75 75/4 = 18.75 (75)(3/4) = 56.25
___________________________________________ (2) (3) Xj f j f j xj 76 1 76 75 0 0 74 2 148 73 3 219 72 6 432 71 7 479 70 9 630 69 10 690 68 8 544 67 8 536 66 7 462 65 5 325 64 5 320 63 3 189 62 1 62
(2) (3) (4) Xj f j Xj - X fj(Xj - X)^2 76 1 7.6 57.76 75 0 6.6 0 74 2 5.6 62.72 73 3 4.6 63.48 72 6 3.6 77.76 71 7 2.6 47.32 70 9 1.6 23.04 69 10 0.6 3.60 68 8 -0.4 1.28 67 8 -1.4 15.68 66 7 -2.4 40.32 65 5 -3.4 57.80 64 5 -4.4 96.80 63 3 -5.4 87.48 62 1 -6.4 40.96 n=75 676.00
