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CAT Question Paper | CAT Verbal Ability Slot

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10 months ago

Question :

What is the median of the ratings given by R3 to the five workers?

 

Answer : 4

Explanatory Answer

Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively

    

 

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