This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The image displays a frequency distribution table and a histogram. Since no specific question was asked, I will calculate the mean of the distribution, which is a common task for such data. Step 1: Identify the class centers (x) and frequencies (f) from the table. The class centers are already provided in the table. | Class limits | Frequency (f) | Class center (x) | | :----------- | :-------------- | :----------------- | | 40 - 49 | 13 | 44.5 | | 50 - 59 | 9 | 54.5 | | 60 - 69 | 6 | 64.5 | | 70 - 79 | 8 | 74.5 | | 80 - 89 | 8 | 84.5 | | 90 - 99 | 1 | 94.5 | Step 2: Calculate the product of frequency and class center (f · x) for each class. For 40 - 49: 13 × 44.5 = 578.5 For 50 - 59: 9 × 54.5 = 490.5 For 60 - 69: 6 × 64.5 = 387.0 For 70 - 79: 8 × 74.5 = 596.0 For 80 - 89: 8 × 84.5 = 676.0 For 90 - 99: 1 × 94.5 = 94.5 Step 3: Calculate the sum of frequencies ( f) and the sum of the products ( (f · x)). f = 13 + 9 + 6 + 8 + 8 + 1 = 45 (f · x) = 578.5 + 490.5 + 387.0 + 596.0 + 676.0 + 94.5 = 2822.5 Step 4: Calculate the mean (x) using the formula x = ( (f · x))/( f). x = (2822.5)/(45) x ≈ 62.7222... Rounding to two decimal places: x ≈ 62.72 The mean of the distribution is 62.72. That's 2 down. 3 left today — send the next one.