A researcher from the ministry of education wants to find out if there is an academic difference in students from different parishes in Jamaica based on the CSEC examinations. He selected 45 students who completed the exam from three parishes; St James, St Ann, Kingston. He will assess them based on their English and Mathematics scores. Use the provided data to do the following questions.  See the table below and answer Questions, please provide all working. ID Parish English Mathematics 1 StJames 90 92 2 StJames 83 83 3 StJames 80 70 4 StJames 82 65 5 StJames 90 92 6 StJames 95 94 7 StJames 98 66 8 StJames 96 77 9 StJames 81 78 10 StJames 84 80 11 StJames 63 70 12 StJames 71 66 13 StJames 72 68 14 StJames 66 69 15 StJames 75 75 16 Kingston 79 74 17 kingston 67 63 18 kingston 65 62 19 kingston 65 77 20 kingston 60 67 21 kingston 64 75 22 kingston 68 82 23 kingston 69 66 24 kingston 77 77 25 kingston 56 60 26 kingston 59 78 27 kingston 57 55 28 kingston 60 68 29 kingston 52 67 30 kingston 50 53 31 StAnn 55 57 32 StAnn 56 70 33 StAnn 57 60 34 StAnn 67 72 35 StAnn 59 60 36 StAnn 58 57 37 StAnn 53 65 38 StAnn 54 54 39 StAnn 60 62 40 StAnn 51 52 41 StAnn 56 57 42 StAnn 57 30 43 StAnn 58 59 44 StAnn 52 54 45 StAnn 57 58 1. How could knowledge of probabilities be used to analyse the data given in the table? 2. Manipulate the data given to calculate any two probabilities.

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A researcher from the ministry of education wants to find out if there is an academic difference in students from different parishes in Jamaica based on the CSEC examinations. He selected 45 students who completed the exam from three parishes; St James, St Ann, Kingston. He will assess them based on their English and Mathematics scores. Use the provided data to do the following questions.

 See the table below and answer Questions, please provide all working.

ID

Parish

English

Mathematics

1

StJames

90

92

2

StJames

83

83

3

StJames

80

70

4

StJames

82

65

5

StJames

90

92

6

StJames

95

94

7

StJames

98

66

8

StJames

96

77

9

StJames

81

78

10

StJames

84

80

11

StJames

63

70

12

StJames

71

66

13

StJames

72

68

14

StJames

66

69

15

StJames

75

75

16

Kingston

79

74

17

kingston

67

63

18

kingston

65

62

19

kingston

65

77

20

kingston

60

67

21

kingston

64

75

22

kingston

68

82

23

kingston

69

66

24

kingston

77

77

25

kingston

56

60

26

kingston

59

78

27

kingston

57

55

28

kingston

60

68

29

kingston

52

67

30

kingston

50

53

31

StAnn

55

57

32

StAnn

56

70

33

StAnn

57

60

34

StAnn

67

72

35

StAnn

59

60

36

StAnn

58

57

37

StAnn

53

65

38

StAnn

54

54

39

StAnn

60

62

40

StAnn

51

52

41

StAnn

56

57

42

StAnn

57

30

43

StAnn

58

59

44

StAnn

52

54

45

StAnn

57

58

1. How could knowledge of probabilities be
used to analyse the data given in the table?

2. Manipulate the data given to calculate any
two probabilities.

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