The rules of the games are as follows. Each player starts with 1000 points. On throwing the dice
if a player gets
Red Colour – Points become ½ times.
Orange Colour – points become 1.25 times.
Blue Colour – Points get ¼ of his existing score.
Violet colour – Points get doubled
Yellow colour – Points become 3.001 times
Green colour – Point become 0.912 times.
Q.12 To get more points which colour should the player seek?
Q.13 Which colour should the player avoid?
Q.14 If a player starts with 1000 points and gets 4 reds backto back how many points
will he have now?
Q.15 A player started with 1000 points and got all colours in the given order once.
What will be his final score?
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Answer:
Exercises in Data Handling
Question 5
Q5) Following table shows the points of each player scored in four games:
Now answer the following questions:
(i) Find the mean to determine A’s average number of points scored per game.
(ii) To find the mean number of points per game for C, would you divide the total
points by 3 or by 4? Why?
(iii) B played in all the four games. How would you find the mean?
(iv) Who is the best performer?
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Solution:
i) Number of points scored by A in all games are -
Game 1 = 14
Game 2 = 16
Game 3 = 10
Game 4 = 10
Player A's number of points = \frac{14\ +\ 16\ +\ 10+10\ }{4}\ =\ \ \frac{50}{4}\ =\ 12.5
ii) To find the mean number of points per game for player C, we will divide the total points by 3 because player C played 3 games.
iii) Mean of player B's score = \frac{0\ +\ 8\ +\ 6\ +\ 4}{4}\ =\ \frac{18}{7}\ =\ 4.5
iv) The best performers will have the greatest average among all. Now we can observe that the average score of player A is 12.5 which is more than that of players B and C. Therefore, player A is the best performer among all three.
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