This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Mean (اوسط) Step 1: Identify midpoints x_i for each class interval. c|c Class & x_i \\ 0-10 & 5 \\ 10-20 & 15 \\ 20-30 & 25 \\ 30-40 & 35 \\ 40-50 & 45 \\ 50-60 & 55 \\ 60-70 & 65 \\ 70-80 & 75 \\ 80-90 & 85 \\ 90-100 & 95 \\ Step 2: Compute f_i x_i for each class. 5 × 5 &= 25, \\ 7 × 15 &= 105, \\ 8 × 25 &= 200, \\ 12 × 35 &= 420, \\ 15 × 45 &= 675, \\ 18 × 55 &= 990, \\ 14 × 65 &= 910, \\ 11 × 75 &= 825, \\ 10 × 85 &= 850, \\ 3 × 95 &= 285. Step 3: Sum the f_i x_i values. 25 + 105 &= 130, \\ 130 + 200 &= 330, \\ 330 + 420 &= 750, \\ 750 + 675 &= 1425, \\ 1425 + 990 &= 2415, \\ 2415 + 910 &= 3325, \\ 3325 + 825 &= 4150, \\ 4150 + 850 &= 5000, \\ 5000 + 285 &= 5285. f_i x_i = 5285, N = 103. Step 4: Compute mean. x = (5285)/(103). 103 × 51 = 5253, 5285 - 5253 = 32, so x = 51 + (32)/(103) ≈ 51.31. 51.31 Median (وسطی) Step 1: N = 103, median position =(N)/(2) = 51.5. Step 2: Locate median class from cumulative frequencies. Cumulative frequency before 50-60 is 47, reaches 65 in 50-60. Median class is 50-60. Step 3: Apply median formula Median = L + ( (N)/(2) - Cf ) h, where L=50, C=47, f=18, h=10. (51.5 - 47)/(18) = (4.5)/(18) = 0.25, 0.25 × 10 = 2.5. Median = 50 + 2.5 = 52.5. 52.5 Mode (وضع عام) Step 1: Modal class is 50-60 (highest f=18). Step 2: Apply mode formula Mode = L + ( (f_1 - f_0)/(2f_1 - f_0 - f_2) ) h, where L=50, f_1=18, f_0=15, f_2=14, h=10. (18 - 15)/(2 × 18 - 15 - 14) = (3)/(36 - 29) = (3)/(7) ≈ 0.4286, 0.4286 × 10 ≈ 4.29. Mode = 50 + 4.29 = 54.29. 54.29