Question

In: Math

11. For a local basketball league, there were 10 teams whose players were assigned to a...

11. For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test. Those results are given below.

Team 1

Team 2

Team 3

Team 4

Team 5

Team 6

Team 7

Team 8

Team 9

Team 10

87

98

103

105

90

108

94

108

97

109

81

91

80

87

78

91

82

89

90

87

70

85

78

77

77

77

76

76

86

76

64

82

77

74

72

67

75

72

73

69

63

76

64

62

70

60

66

66

69

68

62

56

63

57

64

58

62

63

66

67

56

48

55

56

57

54

55

51

58

57

55

44

48

53

52

53

49

49

50

56

52

42

42

47

39

47

46

46

48

56

40

44

The summary statistics are:

SUMMARY

Groups

Count

Sum

Average

Variance

Team 1

9

590

65.55556

140.7778

Team 2

9

622

69.11111

470.3611

Team 3

9

610

67.77778

354.4444

Team 4

9

618

68.66667

351.25

Team 5

9

599

66.55556

237.5278

Team 6

9

615

68.33333

404.5

Team 7

9

605

67.22222

254.1944

Team 8

9

620

68.88889

409.6111

Team 9

10

677

67.7

365.1222

Team 10

10

689

68.9

342.7667

  1. From just looking at the summary data, what conclusions might you draw? (You may want to talk about average and/or variance)

Solutions

Expert Solution

From the summary

Team 1= The mean Score on an ability test for team 1 Is   65.555

Team 2= The mean Score on an ability test for team 2 Is   69.1111

Team 3= The mean Score on an ability test for team 3 Is   67.7777

Team 4= The mean Score on an ability test for team 4 Is   68.6666

Team 5= The mean Score on an ability test for team 5 Is   65.55555

Team 6= The mean Score on an ability test for team 6 Is   68.33333

Team 7= The mean Score on an ability test for team 7 Is   67.222222

Team 8= The mean Score on an ability test for team 8 Is   68.888

Team 9= The mean Score on an ability test for team 9 Is   67.7

Team 10= The mean Score on an ability test for team 10 Is   68.9

From the Values of variance ,

We can see the how much spread in the data set.

Count represent the sample size of the each team


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