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Solution


Q.

BINGO is game of chance. The host has 75 balls numbered 1 through 75. Each player has a BINGO card with some numbers written on it. The participant cancels the number on the card when called out a number written on the ball selected at random. Whosoever cancels all the numbers on his/her card, says BINGO and wins the game.

The table given below, shows the data of one such game where 48 balls were used before Tara said ‘BINGO’.

Numbers announced

Number of times

0 – 15

8

15 – 30

9

30 – 45

10

45 – 60

12

60 – 75

9

 

Based on the above information, answer the following questions:

 

(iii) (b) Find mode of the given data
1 50  
2 45  
3 46  
4 51  

Ans.

(4)

Here, the maximum frequency is 12 and the class corresponding to this frequency is 45 – 60

So,l=45,f1=12,f0=10,f2=9,h=15∴ Mode=l+f1-f02f1-f0-f2×h=45+12-102×12-10-9×15=45+305=51The mode of the given data is 51.