35:T524,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. $$\newline$$ 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. $$\newline$$ The summary statistics of these ratings for the five workers is given below. $$\newline$$

	Ullas	Vasu	Waman	Xavier	Yusuf
Mean rating	2.2	3.8	3.4	3.6	2.6
Median rating	2	4	4	4	3
Modal rating	2	4	5	5	1 and 4
Range of rating*	3	3	4	4	3

$$\newline$$ *Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker. $$\newline$$ The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers. $$\newline$$ (a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu. $$\newline$$ (b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.36:T468,

Restaurant Ratings Table

	U	V	W	X	Y	Tot
R1	1	4	5	3	4	$ 17 $
R2	2	2	1	5	1	$ 11 $
R3	4	4	5	5	1	$ 19 $
R4	2	4	4	1	3	$ 14 $
R5	2	5	2	4	4	$ 17 $
Total	11	19	17	18	13
Med	2	4	4	4	3
Mod	2	4	5	5	1&4
Range	3	3	4	4	3

=> From the table, we can see that R1 gave a rating of 3 to Xavier.37:T2f10,

	U	V	W	X	Y	Tot
R1	1	4	5	3	4	\( 17 \)
R2	2	2	1	5	1	\( 11 \)
R3	4	4	5	5	1	\( 19 \)
R4	2	4	4	1	3	\( 14 \)
R5	2	5	2	4	4	\( 17 \)
Total	11	19	17	18	13
Med	2	4	4	4	3
Mod	2	4	5	5	1&4
Range	3	3	4	4	3

CAT (DILR) PYQs

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