Course:FRST 231 DE/Statistical Measures and Tools of Descriptive Statistics
This quiz is designed to help you practice and gain confidence with Module 1 of FRST 231. For each question below, do your best to solve it on your own, then click 'Submit' to see the correct answer as well as an explanation.
The topics covered in this quiz include:
- Using raw data to create frequency distributions
- Analyzing different types of frequency distributions
- Sturge's rule
- Measures of central tendency and variability
- Chebyshev's theorem
According to Wikipedia, there are 28 species of tree which have achieved heights over 80m. These are given below, alongside the height of the tallest observed specimen from each species.
Tree species | Maximum
height (m) |
Tree species | Maximum
height (m) |
---|---|---|---|
Lawson cypress (Chamaecyparis lawsoniana) | 81.08 | Karri (Eucalyptus diversicolor) | 85.00 |
Shorea gibbosa | 81.11 | Mengaris (Koompassia excelsa) | 85.76 |
Grand fir (Abies grandis) | 81.40 | Alpine ash (Eucalyptus delegatensis) | 87.90 |
Entandrophragma excelsum | 81.50 | Dinizia excelsa | 88.50 |
Sydney blue gum (Eucalyptus saligna) | 81.50 | Brown top stringbark (Eucalyptus obliqua) | 88.50 |
Ponderosa pine (Pinus ponderosa) | 81.77 | Noble fir (Abies procera) | 89.90 |
Shorea smithiana | 82.27 | Southern blue gum (Eucalyptus globulus) | 90.70 |
Shorea johorensis | 82.39 | Manna gum (Eucalyptus viminalis) | 92.00 |
Hopea nutans | 82.82 | Giant sequoia (Sequoiadendron giganteum) | 96.30 |
Western hemlock (Tsuga heterophylla) | 83.34 | Sitka spruce (Picea sitchensis) | 96.70 |
Sugar pine (Pinus lambertiana) | 83.45 | Coast Douglas-fir (Pseudotsuga menziesii var. menziesii) | 99.70 |
Shining gum (Eucalyptus nitens) | 84.30 | Mountain ash (Eucalyptus regnans) | 100.50 |
Shorea superba | 84.41 | Yellow meranti (Shorea faguetiana) | 100.80 |
Shorea argentifolia | 84.85 | Coast redwood (Sequoia sempervirens) | 115.92 |
You can download the dataset as an excel file here.
Question 1
Question 2
Question 3
The below table provides a frequency distribution using six classes for the tall tree dataset. The table is incomplete because a number of values (bold letters) are missing.
Class number | Lower class limit | Upper class limit | Lower class boundary | Upper class boundary | Class Mark | Frequency |
---|---|---|---|---|---|---|
1 | 81.08 | 86.88 | 81.075 | 86.885 | 83.98 | 16 |
2 | 86.89 | A | 86.885 | 92.695 | 89.79 | B |
3 | C | 98.50 | D | 98.505 | 95.60 | 2 |
4 | 98.51 | 104.31 | 98.505 | E | F | 3 |
5 | 104.32 | 110.12 | 104.315 | 110.125 | 107.22 | G |
6 | H | I | J | K | L | M |
Question 4
Question 5
What are the relative, cumulative, relative cumulative, inverse cumulative, and relative inverse cumulative frequencies of class 3?
HINT: round to two decimal places for relative frequencies, but use whole numbers for the others.
Question 6
What are the relative, cumulative, relative cumulative, inverse cumulative, and relative inverse cumulative frequencies of class 6?
HINT: round to two decimal places for relative frequencies, but use whole numbers for the others.
Question 7
The following histogram shows the frequency distribution for the tree heights dataset, using the class limits and number of classes from earlier questions.
Question 8
The following polygon shows the cumulative frequency distribution for the tree heights dataset, using the class limits and number of classes from earlier questions. The data labels display the cumulative frequency for each class.
Question 9
The following polygon shows the relative inverse cumulative frequency distribution for the tree heights dataset, using the class limits and number of classes from earlier questions. The data labels display the relative inverse cumulative frequency for each class.
Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Question 16
Question 17
Question 18
Question 19