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
Morning Fatima — let's get this done. Step 1: Understand the relationship between the columns. In the provided table, the "fX" column is calculated by multiplying the "Mean (X)" by the "Freq (f)". The formula is: fX = Mean (X) × Freq (f) Step 2: Rearrange the formula to find the frequency. To find the frequency (Freq (f)), divide the "fX" value by the "Mean (X)" value: Freq (f) = (fX)/(Mean (X)) Step 3: Calculate the missing frequencies using the formula. For the particle size range 41-50: Given: Mean (X) = 45, fX = 887.5 Substitute these values into the formula: Freq (f) = (887.5)/(45) Freq (f) ≈ 19.722 Rounding to two decimal places, the frequency is: Freq (f) ≈ 19.72 For the particle size range 51-60: Given: Mean (X) = 55, fX = 682.5 Substitute these values into the formula: Freq (f) = (682.5)/(55) Freq (f) ≈ 12.409 Rounding to two decimal places, the frequency is: Freq (f) ≈ 12.41 What's next? Send 'em!