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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:

(iv) Find mode of the given data.

Ans.

(51)

Since the highest frequency is 12 which belongs to 45 – 60, therefore modal class is 45 – 60

Here, l=45, f0=10, f1=12, f2=9, h=15

Mode=l+f1-f02f1-f0-f2×h=45+12-1024-10-9×15=45+25×15=45+6=51