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Question: a pathologist counts the numbers of diseased plants in randomly...

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A pathologist counts the numbers of diseased plants in randomly selected areas each 1-meter square on a large field. For 40 such areas the numbers of diseased plants are:

21

18

42

29

81

12

94

117

88

210

44

39

11

83

42

94

2

11

33

91

141

48

12

50

61

35

111

73

5

44

6

11

35

91

147

83

91

48

22

17

Use histograms and boxplots to decide whether there is evidence of skewness or outliers. Use nonparametric tests to find whether it is reasonable to assume the median number of diseased plants per square meter might be 50 (i) without assuming population symmetry, (ii) assuming population symmetry. For these data and the evidence provided by a boxplot and histograms do you consider the latter assumption reasonable?

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