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 points by 3 or 4? Why?
(iii) B played in all the four games. How would you find the mean?
(iv) Who is the best performer?
Solution:
We will use the basic formula of mean in statistics to solve the questions given.
(i) Total number of games played by A = 4
Scores obtained by A = 14, 16, 10, 10
Mean score of A = (14 + 16 + 10 + 10) / 4
= 50 / 4
= 12.5
ii) We should divide the total points by 3 because player C played only three games.
iii) Total number of games played by B = 4
Scores obtained by B = 0, 8, 6, 4
Mean score of B = Sum of scores obtained by B / Number of games played by B
= (0 + 8 + 6 + 4) / 4
= 18 / 4
= 4.5
iv) To find the best performer, we should find the mean of all players.
Mean of player A = 12.5
Mean of player B = 4.5
Mean of player C = Sum of scores obtained by C / Number of games played by C
= (8 + 11 + 13) / 3
= 32 / 3
= 10.67
Therefore, by comparing the average scores of all players, we see that A is the best performer as it has the highest mean.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 3
Video Solution:
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?
NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.1 Question 5
Summary:
i) The mean to determine A’s average number of points scored per game is 12.5, ii) o find the mean number of points per game for C, we should divide total points by 3 because player C played only three games, iii) B played in all the four games. The mean score of B is 4.5, iv) On comparing the average score of all the players, we see that A is the best performer.
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