Consider the following frequency table representing the distribution of the length of a morning walk with the dog (in miles). Determine the midpoint for the third class.

Answer

To find the midpoint of a class in a frequency distribution, you use the formula: Midpoint = (Lower Class Limit + Upper Class Limit) / 2. Step 1: Identify the third class from the table. Looking at the list of classes: 1st class is 0.27–0.36, 2nd class is 0.37–0.46, and the 3rd class is 0.47–0.56. Step 2: Determine the lower and upper limits of the third class. The lower limit is 0.47 and the upper limit is 0.56. Step 3: Apply the formula. Midpoint = (0.47 + 0.56) / 2. Step 4: Perform the calculation. Sum = 0.47 + 0.56 = 1.03. Divide by 2: 1.03 / 2 = 0.515. Therefore, the midpoint for the third class is 0.515.