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<strong>Caboolture</strong> <strong>Water</strong> <strong>Quality</strong> <strong>Study</strong><br />

Appendix B: Data presentation- Box and Whisker plots<br />

Box and whisker plots are a widely accepted way of presenting water quality data (Figure 17). They show<br />

where the data points are concentrated (the box) and the outlying values (the whiskers, asterisks and<br />

circles). Box and whisker plots are therefore a useful way of visually presenting the distribution of the data.<br />

Box and whisker plots are used in this report to assess compliance with guidelines. For easy comparison<br />

with the guidelines (derived from the 20 th and 80 percentiles of reference values for most parameters) the<br />

boxes represent the 20 th and 80 th percentiles. The top of the box in these plots is the 80 th percentile (80<br />

percent of the data fall below this line), while the bottom of the box represents the 20 th percentile (20<br />

percent of the data fall below this line). The dot in the middle of the box represents the median (50 percent<br />

of the data fall above and 50 percent below this number).<br />

The whiskers on the box extend to data points that are up to 1½ times the Inter Quartile Range (IQR). The<br />

IQR is defined as the difference between the 75 th and the 25 th percentiles, and is equal to the range of<br />

about half the data. Outliers which are less than three times the IQR are shown as asterisks, while those<br />

greater than three times the IQR are shown as circles. The statistical and graphical package S-Plus 4.5<br />

was used to produce all box plots and calculate percentiles.<br />

Values within 3 times the Inter<br />

Quartile Range<br />

80th percentile: 80 percent of<br />

values fall below this line<br />

Median<br />

20th percentile: 20 percent of<br />

values fall below this line<br />

Whiskers: values within 1½<br />

times the Inter Quartile Range<br />

Values greater than 3 times<br />

the Inter Quartile Range<br />

Figure 18. Schematic representation of box and whisker plots.<br />

Box and whisker plots are used in this report to assess compliance of each indicator at each site with<br />

the appropriate guidelines. The data for one or more waterways are presented together with the<br />

reference values for those watertypes (Figure 18). For easy comparison with the reference values, the<br />

boxes are colour coded according to their watertype (Figure 18, Table 21). The label for the box for<br />

each site is also colour coded according to compliance with the guidelines. If the site complied with the<br />

guidelines for that indicator, the site label is printed in black; if the site did not comply the label is<br />

printed in red. The number of data points in both the site and reference data is also recorded below<br />

each box.<br />

Figure 1k Chlorophyll-a (g/L) at sites in an example waterway<br />

20<br />

Chlorophyll-a (g/L)<br />

15<br />

10<br />

5<br />

0<br />

(N=10) (N=12) (N=12) (N=12) (N=12) (N=12) (N=12) (N=49) (N=57) (N=336) (N=110) (N=111) (N=169) (N=54)<br />

SITE-1 SITE-2 SITE-3 SITE-4 SITE-5 SITE-6 SITE-7 O OC ECLE ME UE LC UC<br />

Monitoring Sites<br />

Reference Sites<br />

Figure 19. Example of a box and whisker plot, showing values recorded at monitoring sites (left) and reference sites<br />

(right) for chlorophyll-a. <strong>Water</strong>types are colour-coded, and descriptions for the watertype-code are presented in<br />

Table 22. Note that sites 1, 2, and 6 complied with water quality guidelines, whereas sites 3, 4, 5 and 7 exceeded<br />

guidelines.<br />

46

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