Statistics
Q.No: 1
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (40 to 44): 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.
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.
How many individual ratings cannot be determined from the above information?
Solution:
All individual ratings can be determined from the given information.
Hence, the answer is 0.
All individual ratings can be determined from the given information.
Hence, the answer is 0.
Q.No: 2
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (40 to 44): 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.
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.
To how many workers did R2 give a rating of 4?
Solution:
R2 did not give a rating of 4 to any workers.
R2 did not give a rating of 4 to any workers.
Q.No: 3
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (40 to 44): 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.
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 rating did R1 give to Xavier?
Solution:
R1 gave a rating of 3 to Xavier.
R1 gave a rating of 3 to Xavier.
Q.No: 4
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (40 to 44): 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.
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?
Solution:
The median of the ratings given by R3 to the five workers is 4.
The median of the ratings given by R3 to the five workers is 4.
Q.No: 5
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (40 to 44): 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.
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.
Which among the following restaurants gave its median rating to exactly one of the workers?
Solution:
Restaurant R4 gave its median rating to exactly one of the workers.
Restaurant R4 gave its median rating to exactly one of the workers.
Solution:
All individual ratings can be determined from the given information.
Hence, the answer is 0.
All individual ratings can be determined from the given information.
Hence, the answer is 0.
Solution:
R2 did not give a rating of 4 to any workers.
R2 did not give a rating of 4 to any workers.
Solution:
R1 gave a rating of 3 to Xavier.
R1 gave a rating of 3 to Xavier.
Solution:
The median of the ratings given by R3 to the five workers is 4.
The median of the ratings given by R3 to the five workers is 4.
Solution:
Restaurant R4 gave its median rating to exactly one of the workers.
Restaurant R4 gave its median rating to exactly one of the workers.
