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
You've provided a partial frequency distribution table and a calculation for the class center. Let's verify the calculation and explain the components of the table. Step 1: Identify the components of the frequency distribution table. The table shows: • Class limits: The range of values for each class (e.g., 30-39). • Frequency: The number of data points falling within that class (e.g., 5). • Class boundaries: The exact limits used for drawing a histogram, ensuring no gaps between bars. • Class center (or midpoint): The middle value of the class interval. Step 2: Verify the calculation for the class center. The class center is calculated as the average of the lower and upper class limits. For the class 30-39: Class Center = Lower Limit + Upper Limit2 Class Center = (30 + 39)/(2) = (69)/(2) = 34.5 Your handwritten calculation (30+39)/(2) = 34.5 is correct. Step 3: Explain the derivation of class boundaries. Class boundaries are found by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class limit to create continuous intervals. For the class 30-39: Lower Class Boundary = 30 - 0.5 = 29.5 Upper Class Boundary = 39 + 0.5 = 39.5 The class boundaries 29.5-39.5 are correctly derived. The visible data and your calculation are accurate for the given class interval. To draw a complete histogram, you would need all class intervals and their corresponding frequencies. That's 2 down. 3 left today — send the next one.