case /data -based (4 Marks)

MCQ 14 Marks

During the $HC$ game, players can spin the wheel to earn points.

$1.$ What is the probability that she earns $6$ points$?$

A
$0$
B
$\frac{1}{12}$
C
$\frac{1}{5}$
✓
$\frac{1}{2}$

Answer

Correct option: D.

$\frac{1}{2}$

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Question 24 Marks

The graph below shows the percentage of new and existing active users of the games.

$1.$ In which game the number of existing active users is more than $1.5$ million$?$
$A. KC$
$B. RJ$
$C. CM$
$D. CR$
$2. $ For which game(s) the number of new users is more than the number of existing users$?$
$3.$ It has been observed that $50\%$ of the new $RJ$ game users play online with friends.
For existing users, this percentage is $36\%.$
What is the number of people (in millions) playing $RJ $ game online with friends$?$
$A. 1.39$ millions
$B. 4.975$ millions
$C. 8.557$ millions
$D. 9.95$ millions
$4.$ Mary played $10\ HC$ matches. She scored $45, 36, 50, 27, 36, 52, 50, 43, 50$ and $47$ points in them. What is the most frequent score point$?$
$A. 27$
$B. 36$
$C. 47$
$D. 50$
$5. $ Are the mean and median of Mary’s scores equal? Justify your answer.
$6.$ Mary scored 56 points in her $11th$ match. What is the change in her mean score after the $11th$ match$?$
$A.$ Increases by $1.13$
$B.$ Increases by $5.6$
$C.$ Decreases by $4$
$D.$ Decreases by $3$
$7.$ What is the probability of Mary scoring $60$ points in her $12th$ match$?$
The highest score in the match is $60$ points.
$A. 0$
$B. \frac{1}{12}$
$C.\frac{1}{5}$
$D. \frac{1}{2}$

Answer

$3. A. KC$
$4. SN$ and $HC$
$5. C. 8.557$
$6. D. 50$
$7. $ No, reasoning involves comparison of mean and median of Mary’s score.
● No, the mean and median of Mary’s score are not equal. Mean score is $43.6,$ whereas median score is $46.$
$8. A.$ Increases by $1.13$
$9. D. \frac{1}{2}$

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Question 34 Marks

Gaming apps allow users to download and play games in online or ofline mode. A play store data
shows $20$ million downloads of $6$ popular games. The table below shows the number of daily active users of the games:

Game	Active users (in millions)
$KC$	$2.07$
$RJ$	$1.99$
$CM$	$1.82$
$SN$	$1.56$
$CR$	$1.34$
$HC$	$1.20$

$1.$ Around $50\%$ of those who downloaded the games are active users.
Is the statement correct? Give reason to justify your answer.
$2.$ Every fourth person who downloaded the games spends more than an hour a day playing them.
What percentage of active players play more than an hour a day?

Answer

$1.$ Yes, with valid reasoning.
● Yes, according to the table $9.98$ million users are active users. $9.98$ is nearly $50\%$ of $20$ million.
● Yes, around $10$ million people play games, which is $50\%$ of the total population.
$2. 25$
$25\%$

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Maths case /data -based (4 Marks)

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