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

###### Question details

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?