Basic Statistics: Written Topic

2022 Freshman Meet 1

The freshmen written topic for meet 1:

Sections: 1.3 and 2.1-2.5 in the online Introductory Statistics (OpenStax) text.

Measures of central tendency (mean, median, and mode), histograms, box-and-whisker plots, stem and leaf plots, range, interquartile range (IQR), potential outliers. No variance. No standard deviation. No comparison of sample and population means.

Here is a chart showing the association of topics with sections in the text.

Section | Topics |

1.3 | Frequency, relative and cumulative |

2.1 | Stem and leaf graphs ("plots" in our standard usage). |

2.2 | Histograms (not "frequency polygons" or "time series graphs") |

2.3 | Quartile, percentile, median, interquartile range (IQR), potential outliers(!) |

2.4 | Box plots. |

2.5 | Mean, mode, grouped frequency tables. Excluded: population mean (x vs mu) |

Example exercises:

- 1.11 and 1.16 (pages 49-50), 1.80-1.86 (pages 56-59)
- Chapter 2: there are practice exercises (pages 127-134) and homework (pages 139-151). Not all of the questions are perfect, skim before you use them.

Comments:

- Note that there are solutions at the very end of the chapter.
- Spread = range, used in e.g. question 89. Example: "what is the spread of the second quartile?"

Miscellaneous comments on Chapter 2 questions:

- 92: the mean is being taken over the countries, so it is not actually (# underweight children) / (# children).
- 86-89: interpret a box plot

The questions in the source do not have any questions about "mark the data points which are more than 1.5 * IQR from the box."