Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A random sample (Sample 1) of the Mercedes's average driving speed (km/h) is: 120, 142, 142, 165, 132, 130, 156, 136, 167, 139, 144. A random sample (Sample 2) of the Audi's average driving speed (km/h) is: 112, 145, 146, 165, 163, 141, 112, 134, 113, 114, 125. What is the median of Sample 1? What is the median of Sample 2?

Answer:Median for sample 1 = 142Median for sample 2 = 134Step-by-step explanation:For Sample 1: For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order. 120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167 The formula for calculating the term which will be median is:Median= ((n+1)/2)Here in sample 1, n=11So, putting n=11 in the formula = ((11+1)/2) = (12/2) =6th term The sixth term is 142, soMedian of sample 1=142 For Sample 2: For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order. 112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165 The formula for calculating the term which will be median is:Median= ((n+1)/2)Here in sample 2, n=11So, putting n=11 in the formula =((11+1)/2) =(12/2) =6th term The sixth term is 134, soMedian of sample 2=134