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
To calculate the average score from a frequency table, we use the formula: Average score = (score × frequency) frequency Step 1: Calculate the sum of (score × frequency). (x · f) = (1 × 3) + (2 × 5) + (3 × 3) + (4 × 7) + (5 × 5) + (6 × 1) + (7 × 5) + (8 × 6) + (9 × 3) + (10 × 2) (x · f) = 3 + 10 + 9 + 28 + 25 + 6 + 35 + 48 + 27 + 20 (x · f) = 211 Step 2: Calculate the sum of frequencies. f = 3 + 5 + 3 + 7 + 5 + 1 + 5 + 6 + 3 + 2 f = 40 Step 3: Calculate the average score. Average score = (211)/(40) Average score = 5.275 Step 4: Round the average score to one decimal place. 5.275 rounded to one decimal place is 5.3. The average score is 5.3. This corresponds to option B. The final answer is B. 5.3. Send me the next one 📸