In order to compare two statistics textbooks, Mr.Marin recommends one book to one class and another book to another class. At the end of the year the classes are each examined; the results out of 100 marks are detailed below. Textbook 1 44 52 95 76 13 94 83 72 55 81 22 25 64 72 35 48 56 59 84 98 84 21 35 69 28 Textbook 2 65 72 48 63 68 59 68 62 75 79 81 72 39 55 58 52 82 79 55 64 53 58 59 64 66 68 42 37 (i) Calculate the mean and standard deviation for each class. (ii) Which class performed better? (iii) Which class was more consistent? (iv) Compute the coefficient of variation for each class. Comment on the results. (v) Construct a stem and leaf for each class. (vi) Compute their lower quartile, upper quartile, interquartile range and median for each class. (vii) Using a graph paper, draw a box and whisker plot for each class. Showing all parameters. Commenting on the distribution of the data set. Hence indicate whether there are outliers.
In order to compare two statistics textbooks, Mr.Marin recommends one book to one class and
another book to another class. At the end of the year the classes are each examined; the results out of
100 marks are detailed below.
Textbook 1
44 52 95 76 13 94 83 72 55 81 22 25 64 72 35 48 56 59 84 98 84 21 35 69 28
Textbook 2
65 72 48 63 68 59 68 62 75 79 81 72 39 55 58 52 82 79 55 64 53 58 59 64 66 68 42
37
(i) Calculate the mean and standard deviation for each class.
(ii) Which class performed better?
(iii) Which class was more consistent?
(iv) Compute the coefficient of variation for each class. Comment on the results.
(v) Construct a stem and leaf for each class.
(vi) Compute their lower quartile, upper quartile,
(vii) Using a graph paper, draw a box and whisker plot for each class. Showing all parameters.
Commenting on the distribution of the data set. Hence indicate whether there are outliers.
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