CAT 2024 Slot 2 DILR · Question 17
An online e-commerce firm receives daily integer product ratings from 1 through
5 given by buyers. The daily average is the average of the ratings given on that day. The
cumulative average is the average of all ratings given on or before that day.
The
rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1
and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure
below.
The following information is known about ratings on Day
3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product
ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero
multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that
number is half the number of buyers who gave a rating of 3.
What is the median of all ratings given on Day 3?
Type-in answer (TITA): no options, no negative marking.
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