On which aspect is the median score of the five smartphones the lowest?
Answer and solution
Correct answer: A
Solution
Answer: A — Support
1. For five numbers, the median is the third number after sorting.
2. Durability:30,40,50,70,90 →50. Coverage:40,55,60,70,80 →60. Performance:45,55,60,65,85 →60.
3. Design:25,35,45,65,90 →45. Support:25,30,40,60,70 →40. Price:48,50,57,58,80 →57.
4. The lowest of 50,60,60,45,40,57 is 40 for Support. Answer A.
Detailed setup and verification:
The median of five scores is the middle score after sorting, not the mean of the highest and lowest or the third phone in the legend. Sorting is necessary independently for each aspect because the phone ranking changes around the radar.
The six aspect medians are 50,60,60,45,40,57 in the order Durability, Coverage, Performance, Design, Support, Price. Support 40 is below Design 45 and every other median. The exact accompanying table removes any need to estimate a close crossing of radar lines.
Verification: 4. The lowest of 50,60,60,45,40,57 is 40 for Support. Answer A.
Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.
1. For five numbers, the median is the third number after sorting.
2. Durability:30,40,50,70,90 →50. Coverage:40,55,60,70,80 →60. Performance:45,55,60,65,85 →60.
3. Design:25,35,45,65,90 →45. Support:25,30,40,60,70 →40. Price:48,50,57,58,80 →57.
4. The lowest of 50,60,60,45,40,57 is 40 for Support. Answer A.
Detailed setup and verification:
The median of five scores is the middle score after sorting, not the mean of the highest and lowest or the third phone in the legend. Sorting is necessary independently for each aspect because the phone ranking changes around the radar.
The six aspect medians are 50,60,60,45,40,57 in the order Durability, Coverage, Performance, Design, Support, Price. Support 40 is below Design 45 and every other median. The exact accompanying table removes any need to estimate a close crossing of radar lines.
G Strategy shortcut
Method: Sort each column; take the third score. Support’s median 40 is lowest.Verification: 4. The lowest of 50,60,60,45,40,57 is 40 for Support. Answer A.
Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.
G Strategy: Method: Sort each column; take the third score. Support’s median 40 is lowest. Verification: 4. The lowest of 50,60,60,45,40,57 is 40 for Support. Answer A. Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.