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
I will solve question 12. Question 12: Find the mean. The table shows the frequency distribution of the number of chairs in each of the 40 rooms. Number of Chairs (x): 1, 2, 3, 4, 5, 6, 7 Frequency (f): 2, 7, 5, 4, 9, 7, 6 Step 1: Calculate the product of the number of chairs (x) and its frequency (f) for each category. • 1 × 2 = 2 • 2 × 7 = 14 • 3 × 5 = 15 • 4 × 4 = 16 • 5 × 9 = 45 • 6 × 7 = 42 • 7 × 6 = 42 Step 2: Calculate the sum of the products ( fx). fx = 2 + 14 + 15 + 16 + 45 + 42 + 42 fx = 176 Step 3: Calculate the sum of the frequencies ( f). f = 2 + 7 + 5 + 4 + 9 + 7 + 6 f = 40 This matches the information given that there are 40 rooms. Step 4: Calculate the mean (x) using the formula x = ( fx)/( f). x = (176)/(40) x = 4.4 The mean is 4.4. The correct option is A. A. 4.4 That's 2 down. 3 left today — send the next one.