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
(b) The median shoe size Step 1: Arrange the shoe sizes in ascending order. The shoe sizes are 10, 9, 11, 9. 9, \, 9, \, 10, \, 11 Step 2: Determine the position for median. Number of shoe sizes n=4 (even). Median is the average of the (n)/(2)th = 2nd and ((n)/(2)+1)th = 3rd values. Step 3: Identify the values. 2nd value = 9 3rd value = 10 Step 4: Calculate the median. (9 + 10)/(2) = (19)/(2) = 9.5 9.5 (c) Calculate the mean shoe size Step 1: Calculate the sum of the shoe sizes. 9 + 9 = 18 18 + 10 = 28 28 + 11 = 39 Sum = 39 Step 2: Count the number of shoe sizes. n = 4 Step 3: Calculate the mean. (39)/(4) = 9.75 9.75