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CAT 2023 Slot 1 — DILR Question 19

Mixed PracticeEasy
Passage / Data

Answer the following questions based on the information given below:

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?

Answer & solution

Answer: 4

Solution

Easy

Read R3's whole row from the solved grid, sort it, and take the middle value.

R3's ratings to (Ullas, Vasu, Waman, Xavier, Yusuf) =(4, 4, 5, 5, 1)=(4,\,4,\,5,\,5,\,1), with row-sum 1919.

1

Sort R3's five ratings in ascending order:

1, 4, 4, 5, 51,\ 4,\ \boxed{4},\ 5,\ 5
2

The 3rd3^{\text{rd}} of five sorted values is the median =4=4.

4\mathbf{4}
CAT 2023 Slot 1 DILR Q19: What is the median of the ratings given by R3 to the five workers? — Solution | TheCATExam