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The following stem-and-leaf plot represents a sample of exam scores.       Exam Scores       4 |...

The following stem-and-leaf plot represents a sample of exam scores.
     
Exam Scores
      4 | 5 6 8
      5 | 3 4 5 6 9
      6 | 2 3 5 6 6 9 9
      7 | 0 1 1 3 3 4 5 5 5 7 8
      8 | 1 2 3 6 9
      9 | 3 5 7 8

The variance & coefficient of variation for the examination scores is

QQQQ

Math   Statistics-And-Probability   
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Answer #1

From the stem and leaf plot

## by using Excel:

x x^2

45 2025

46 2116

48 2304

53 2809

54 2916

55 3025

56 3136

59 3481

62 3844

63 3969

65 4225

66 4356

66 4356

69 4761

69 4761

70 4900

71 5041

71 5041

73 5329

73 5329

74 5476

75 5625

75 5625

75 5625

77 5929

78 6084

81 6561

82 6724

83 6889

86 7396

89 7921

93 8649

95 9025

97 9409

98 9604

tot 2492 184266

The sample mean is given by

The variance of X is

The variance is

The standard deviation is

The coefficient of variation is given by

Hence coefficient of variation is

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