Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability. Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost.
Q. 1 On which aspect is the median score of the five vendors the least?
1) Quality 2) Cost 3) Reliability 4) Customer Service
Q. 2 A vendor’s final score is the average of their scores on all six aspects. Which vendor has the highest final score?
1) Vendor 1 2) Vendor 4 3) Vendor 3 4) Vendor 2
Q. 3 List of all the vendors who are among the top two scorers on the maximum number of aspects is:
1) Vendor 1 and Vendor 5 2) Vendor 1 and Vendor 2 3) Vendor 2, Vendor 3 and Vendor 4 4) Vendor 2 and Vendor 5
Q. 4 List of all the vendors who are among the top three vendors on all six aspects is:
1) Vendor 3 2) Vendor 1 and Vendor 3 3) None of the Vendors 4) Vendor 1
📊 Tabulated Scores:
| Parameter | Vendor 1 | Vendor 2 | Vendor 3 | Vendor 4 | Vendor 5 |
|---|---|---|---|---|---|
| Reliability | 52 | 40 | 75 | 26 | 60 |
| Reach | 80 | 58 | 63 | 46 | 70 |
| Quality | 72 | 69 | 62 | 40 | 48 |
| Features | 40 | 45 | 56 | 90 | 75 |
| Customer Services | 55 | 41 | 50 | 70 | 28 |
| Cost | 77 | 81 | 90 | 71 | 50 |
✅ Q1: On which aspect is the median score of the five vendors the least?
Let’s compute medians:
- Reliability: [26, 40, 52, 60, 75] → Median = 52
- Reach: [46, 58, 63, 70, 80] → Median = 63
- Quality: [40, 48, 62, 69, 72] → Median = 62
- Features: [40, 45, 56, 75, 90] → Median = 56
- Customer Services: [28, 41, 50, 55, 70] → Median = 50
- Cost: [50, 71, 77, 81, 90] → Median = 77
✅ Lowest median = Customer Services (50)
Answer: (4) Customer Service
✅ Q2: Which vendor has the highest average score?
Compute average of each vendor:
- V1: (52 + 80 + 72 + 40 + 55 + 77) / 6 = 62.67
- V2: (40 + 58 + 69 + 45 + 41 + 81) / 6 = 55.67
- V3: (75 + 63 + 62 + 56 + 50 + 90) / 6 = 66
- V4: (26 + 46 + 40 + 90 + 70 + 71) / 6 = 57.17
- V5: (60 + 70 + 48 + 75 + 28 + 50) / 6 = 55.17
✅ Highest: Vendor 3 = 66
Answer: (3) Vendor 3
✅ Q3: Vendors among top 2 scorers on maximum number of aspects
Use the table and mark top 2 vendors per parameter:
- Reliability: V3 (75), V5 (60) ✅ → V3, V5
- Reach: V1 (80), V5 (70) ✅ → V1, V5
- Quality: V1 (72), V2 (69) ✅ → V1, V2
- Features: V4 (90), V5 (75) ✅ → V4, V5
- Customer Services: V4 (70), V1 (55) ✅ → V4, V1
- Cost: V3 (90), V2 (81) ✅ → V3, V2
Now count appearances:
- V1: Reach, Quality, Customer Service → 3 times
- V2: Quality, Cost → 2 times
- V3: Reliability, Cost → 2 times
- V4: Features, Customer Service → 2 times
- V5: Reliability, Reach, Features → 3 times
✅ Top 2 appearances: Vendor 1 and Vendor 5 (3 each)
Answer: (1) Vendor 1 and Vendor 5
✅ Q4: Vendors among top 3 scorers on ALL six aspects
Top 3 per parameter:
- Reliability: V3 (75), V5 (60), V1 (52)
- Reach: V1 (80), V5 (70), V3 (63)
- Quality: V1 (72), V2 (69), V3 (62)
- Features: V4 (90), V5 (75), V3 (56)
- Customer Service: V4 (70), V1 (55), V3 (50)
- Cost: V3 (90), V2 (81), V1 (77)
Check vendors:
- V3: in top 3 in all 6 ✅
- V1: in all except Features ❌
- V2: not in top 3 in multiple areas ❌
- V4: not in top 3 in Reliability, Reach, Quality, Cost ❌
- V5: not in Quality, Customer Service, Cost ❌
✅ Only Vendor 3 meets condition
Answer: (1) Vendor 3
