# Answer on Statistics and Probability Question for charles

Question #4718

The following scores were obtained by 70 students in a Statistics Examinations:

77 68 70 84 68 38 72 82 86 22

66 90 87 53 3 39 28 16 7 38

39 23 50 33 30 64 10 84 49 17

15 79 37 92 8 30 96 8 62 64

25 87 45 96 78 69 40 89 48 41

60 28 99 19 15 95 96 49 8 6

49 14 57 96 97 81 13 55 95 89

(a) Arrange the data in a frequency distribution with classes: 0-9, 20-29, 30-39, 40-49, 50-59, 60-69, 70- 89, 90-109

(b) Draw a histogram for the distribution.

(c) Calculate the:

(1) Mean

(2) Mode

(3) Median

(4) Variance

(5) Standard deviation

77 68 70 84 68 38 72 82 86 22

66 90 87 53 3 39 28 16 7 38

39 23 50 33 30 64 10 84 49 17

15 79 37 92 8 30 96 8 62 64

25 87 45 96 78 69 40 89 48 41

60 28 99 19 15 95 96 49 8 6

49 14 57 96 97 81 13 55 95 89

(a) Arrange the data in a frequency distribution with classes: 0-9, 20-29, 30-39, 40-49, 50-59, 60-69, 70- 89, 90-109

(b) Draw a histogram for the distribution.

(c) Calculate the:

(1) Mean

(2) Mode

(3) Median

(4) Variance

(5) Standard deviation

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