BINGO is game of chance. The host has 75 balls numbered 1 through 75 . Each player has a BINGO card with some numbers…
CBSE Class 10 Maths PYQ · Statistics · General · 4 Marks · March 2024 · Standard
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984 Marks · March 2024 · Standard
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. (ii) When first ball was picked up, what was the probability of calling out an even number? (iii) (a) Find median of the given data. OR (b) Find mode of the given data.
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Sol. Number announced | 0-15 | 15-30 | 30-45 | 45-60 | 60-75 Number of times (f) | 8 | 9 | 10 | 12 | 9 cf | 8 | 17 | 27 | 39 | 48=N (i) $\frac{N}{2} = 24$ $\therefore$ median class is $30 - 45$ (ii) P (picking up an even number) = $\frac{37}{75}$ (iii) (a) Median = $30 + \frac{\left(\frac{48}{2} - 17\right)}{10} \times 15$ $= 40.5$ OR (iii) (b) Modal class is $45 - 60$ Mode = $45 + \frac{12-10}{2\times 12-10-9} \times 15$ $= 51$
