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
Here are the calculations for the given data: First, let's list the data in ascending order: 4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9, 9.6, 9.7, 10.2, 10.2, 10.8, 12.5, 13.2, 14.5, 16.7 The number of data points is n = 18. 2.1.1 Mean Step 1: Sum all the data points. x = 4.9 + 5.6 + 6.2 + 6.6 + 6.6 + 6.8 + 7.8 + 7.8 + 8.9 + 9.6 + 9.7 + 10.2 + 10.2 + 10.8 + 12.5 + 13.2 + 14.5 + 16.7 x = 162.6 Step 2: Divide the sum by the number of data points (n=18). Mean = ( x)/(n) = (162.6)/(18) Mean = 9.0333... Mean = 9.03 2.1.2 Mode Step 1: Identify the values that appear most frequently in the data set. From the sorted data, the values 6.6, 7.8, and 10.2 each appear twice, which is more than any other value. Mode = 6.6, 7.8, 10.2 2.1.3 Range Step 1: Identify the highest and lowest values in the data set. Highest value = 16.7 Lowest value = 4.9 Step 2: Calculate the difference between the highest and lowest values. Range = Highest value - Lowest value Range = 16.7 - 4.9 Range = 11.8 Range = 11.8 3 done, 2 left today. You're making progress.