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:
(i) Write the median class.
(30-45)
Numbers announced | Number of times | cf |
0-15 | 8 | 8 |
15-30 | 9 | 17 |
30-45 | 10 | 27 |
45-60 | 12 | 39 |
60-75 | 9 | 48 |
Here, n = 48,
then n/2 = 48/2 = 24
Median class : 30 – 45
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:
(ii) When first ball was picked up, what was the probability of calling out an even number?
(37/75)
The number of even numbers between 1 to 75 is 37, [i.e., (75 – 1) ÷ 2 = 37]
Prob.(calling out an even number) = 37/75
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:
(iii) Find median of the given data.
(40.5)
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.
(51)
Since the highest frequency is 12 which belongs to 45 – 60, therefore modal class is 45 – 60
Here,