Diana and franklin both play a card game called cribbage,in whichthe first person to earn 121 points is the winner. The table below shows the results of six games of cribbage.
Dianna's score/Franklin's score
Game 1 121/118
Game 2 121/101
Game 3 98/121
Game 4 121/103
Game 5 121/108
Game 6 102/121
Based on the data what is Diana's mean score compared to Franklin?
mean = ∑x/n
Calculate both means and subtract one from the other.
To calculate Diana's mean score compared to Franklin's, we need to find the average score for each player.
To find the average (mean) score, you add up all the scores for that player and then divide by the number of games played.
Let's calculate Diana's mean score:
Diana's total score = 121 + 121 + 98 + 121 + 121 + 102 = 684
Number of games = 6
Diana's mean score = 684 / 6 = 114
Now let's calculate Franklin's mean score:
Franklin's total score = 118 + 101 + 121 + 103 + 108 + 121 = 672
Number of games = 6
Franklin's mean score = 672 / 6 = 112
So, based on the data provided, Diana's mean score (114) is higher than Franklin's mean score (112).