A set of data has the following values: 47, 34, 39, 25, 32, 17, 45, 50, 62, 64, 48, 54, 39, 22, 42, 17, 47, 34, 67. Calculate the median, range, mode, and mean.

Here are the answers to your questions. Question 1: a) Step 1: List the data in ascending order. 17, 17, 22, 25, 32, 34, 34, 39, 39, 42, 45, 47, 47, 48, 50, 54, 62, 64, 67 Step 2: Determine the number of data points. There are n = 19 data points. Step 3: Calculate the position of the median. The median is the (n+1)/(2)-th value. Position = (19+1)/(2) = (20)/(2) = 10 Step 4: Identify the median value. The 10^th value in the ordered list is 42. The median is 42. b) Step 1: Identify the maximum and minimum values. Maximum value = 67 Minimum value = 17 Step 2: Calculate the range. Range = Maximum value - Minimum value Range = 67 - 17 = 50 The range is 50, which confirms the statement that the range is 50%. c) Step 1: Count the frequency of each data point. • 17 appears 2 times • 22 appears 1 time • 25 appears 1 time • 32 appears 1 time • 34 appears 2 times • 39 appears 2 times • 42 appears 1 time • 45 appears 1 time • 47 appears 2 times • 48 appears 1 time • 50 appears 1 time • 54 appears 1 time • 62 appears 1 time • 64 appears 1 time • 67 appears 1 time Step 2: Identify the value(s) with the highest frequency. The values 17, 34, 39, and 47 all appear 2 times, which is the highest frequency. The mode is 17, 34, 39, 47. d) Step 1: Sum all the data points. Sum = 45+17+34+48+47+42+39+22+54+17+32+67+25+39+34+64+47+50+62 = 839 Step 2: Divide the sum by the number of data points. Mean = SumNumber of data points = (839)/(19) Mean ≈ 44.15789... Step 3: Round the mean to two decimal places. The mean is 44.16. Question 2: 2.1) Step 1: Locate Neuwied and Mainz on the map. Step 2: Use the compass rose to determine the direction of Neuwied relative to Mainz. Neuwied is located to the *north