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
Step 1: Mean The mean x is x = ( x_i)/(n). Data set: 2, 6, 10, 6, 6, 2. x_i = 2 + 6 + 10 + 6 + 6 + 2 First, 2 + 6 = 8. Then, 8 + 10 = 18. Then, 18 + 6 = 24. Then, 24 + 6 = 30. Then, 30 + 2 = 32. n = 6. x = (32)/(6) = (16)/(3). Step 2: Median Arrange data in ascending order: 2, 2, 6, 6, 6, 10. Number of data points n = 6 (even). Median is average of 3^rd and 4^th values: 6 and 6. Median = (6 + 6)/(2) = 6. Step 3: Mode 2 appears 2 times, 6 appears 3 times, 10 appears 1 time. Mode is 6 (highest frequency). Final answers: Mean = (16)/(3), Median = 6, Mode = 6. mean = (16)/(3),\ median = 6,\ mode = 6