Question 2 - Figure it out - Page 129-134 - Chapter 5 Class 7 - Connecting the Dots... (Ganita Prakash II)

Transcript

Question 2 (a) The following table shows the points scored by each player in four games: Now answer the following questions: (a) Find the average number of points scored per game by A. Now, Average points scored by A = (𝑻𝒐𝒕𝒂𝒍 𝒑𝒐𝒊𝒏𝒕𝒔 𝒔𝒄𝒐𝒓𝒆𝒅 𝒃𝒚 𝑨)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒂𝒎𝒆𝒔 𝒑𝒍𝒂𝒚𝒆𝒅 𝒃𝒚 𝑨) = (14 + 16 + 10 + 10)/4 = 50/4 = 12.5 Question 2 (b) The following table shows the points scored by each player in four games: Now answer the following questions: (b) To find the mean number of points scored per game by C, would you divide the total points by 3 or by 4? Why? What about B? Now, Player C played 3 games, we divide it’s total points by 3 Player B played all 4 games, so we will divide total points by 4 We only divide by number of games played, even if number of points scored is 0 Question 2 (c) The following table shows the points scored by each player in four games: Now answer the following questions: (c) Who is the best performer?To find best performer, we find Average of all 3 players We found that Average points scored by A = 12.5 For Player B Now, Average points scored by B = (𝑻𝒐𝒕𝒂𝒍 𝒑𝒐𝒊𝒏𝒕𝒔 𝒔𝒄𝒐𝒓𝒆𝒅 𝒃𝒚 𝑩)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒂𝒎𝒆𝒔 𝒑𝒍𝒂𝒚𝒆𝒅 𝒃𝒚 𝑩) = (0 + 8 + 6 + 4)/4 = 18/4 = 4.5 For Player C Now, Average points scored by C = (𝑻𝒐𝒕𝒂𝒍 𝒑𝒐𝒊𝒏𝒕𝒔 𝒔𝒄𝒐𝒓𝒆𝒅 𝒃𝒚 𝑪)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒂𝒎𝒆𝒔 𝒑𝒍𝒂𝒚𝒆𝒅 𝒃𝒚 𝑪) = (8 + 11 + 13)/3 = 32/3 = 10.66… Average points scored by B = (𝑻𝒐𝒕𝒂𝒍 𝒑𝒐𝒊𝒏𝒕𝒔 𝒔𝒄𝒐𝒓𝒆𝒅 𝒃𝒚 𝑩)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒂𝒎𝒆𝒔 𝒑𝒍𝒂𝒚𝒆𝒅 𝒃𝒚 𝑩) = (0 + 8 + 6 + 4)/4 = 18/4 = 4.5 For Player C Now, Average points scored by C = (𝑻𝒐𝒕𝒂𝒍 𝒑𝒐𝒊𝒏𝒕𝒔 𝒔𝒄𝒐𝒓𝒆𝒅 𝒃𝒚 𝑪)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒂𝒎𝒆𝒔 𝒑𝒍𝒂𝒚𝒆𝒅 𝒃𝒚 𝑪) = (8 + 11 + 13)/3 = 32/3 = 10.66… Since Player A has the highest score, he is is the best performer