Question:medium
Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5. The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below. Ullas Vasu Waman Xavier Yusuf Mean rating 2.2 3.8 3.4 3.6 2.6 Median rating 2 4 4 4 3 Model rating 2 4 5 5 1 and 4 Range of rating 3 3 4 4 3
* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
What is the median of the ratings given by R3 to the five workers?[This question was asked as TITA]
Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5. The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.
* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
What is the median of the ratings given by R3 to the five workers?[This question was asked as TITA]
The summary statistics of these ratings for the five workers is given below.
| Ullas | Vasu | Waman | Xavier | Yusuf | |
|---|---|---|---|---|---|
| Mean rating | 2.2 | 3.8 | 3.4 | 3.6 | 2.6 |
| Median rating | 2 | 4 | 4 | 4 | 3 |
| Model rating | 2 | 4 | 5 | 5 | 1 and 4 |
| Range of rating | 3 | 3 | 4 | 4 | 3 |
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
What is the median of the ratings given by R3 to the five workers?[This question was asked as TITA]
Updated On: Nov 25, 2025
- 4
- 3
- 2
- 1
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The Correct Option is A
Solution and Explanation
Determine the median of R3's ratings for five workers: Ullas, Vasu, Waman, Xavier, and Yusuf.
- R3's average rating is 3.8. The sum of all ratings is: $3.8 \times 5 = 19$.
- R3 assigned ratings as follows:
- 5 to Waman and Xavier.
- 1 to Yusuf.
- Let Ullas's and Vasu's ratings be $x$ and $y$, respectively.
- The sum of all ratings is $5 + 5 + 1 + x + y = 19$. Therefore, $x + y = 8$.
- Vasu's performance metrics are provided:
- Mean rating: 3.8
- Median: 4
- Mode: 4
- Range: 3
- Since $x + y = 8$ and Vasu's median is 4, we infer that Ullas's rating ($x$) must be $8 - 4 = 4$.
- R3's ratings are: 4, 4, 5, 5, 1.
- Sorted ratings: 1, 4, 4, 5, 5.
- The median, which is the middle value in the sorted list, is 4.
Final Answer: 4
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The summary statistics of these ratings for the five workers is given below.* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.Ullas Vasu Waman Xavier Yusuf Mean rating 2.2 3.8 3.4 3.6 2.6 Median rating 2 4 4 4 3 Model rating 2 4 5 5 1 and 4 Range of rating 3 3 4 4 3
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
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