A ratio compares two quantities through division. Its meaning depends on the denominator: a larger count does not necessarily indicate a larger share or rate. section 5.1.1 section 1.4.2
Participation rate
A pet event has 1,138 cat participants and 150 advertised websites, giving 1,138 ÷ 150 = 7.59 participants per website. Dogs have 130 participants across 28 websites, or 4.64 per website. The raw count favors cats, while the ratio adds useful context about participation. section 1.4.2
Use a ratio to make comparisons more meaningful:
- Identify the quantity being compared and the denominator that supplies its context. section 5.1.1
- Divide the numerator by the denominator, then label the result clearly as a rate, proportion, or percentage. section 1.4.2
- Use the ratio in a chart or explanation so the audience can interpret counts across different-sized groups. section 5.1.1 section 1.4.2
Normalizing regional homelessness
A region with more homeless people may still have a lower homelessness share. One comparison shows 30% homelessness in one scenario versus 80% in another. A Python workflow joins homeless and population datasets, computes homeless ÷ population × 1,000, and charts the normalized result. section 5.1.1
Table 1.3 Data related to pets involved in the event, with a focus on the participants’ rates
|
Pet
|
Number of Participants
|
Percentage
|
Number of Advertised Websites
|
Participants-to-website rate (# of participants/#
of websites)
|
|---|---|---|---|---|
|
Cat
|
1138
|
88.56
|
150
|
7.59
|
|
Dog
|
130
|
10.12
|
28
|
4.64
|
Inspect the participant-rate table to compare raw counts, percentages, denominators, and calculated ratios together. section 1.4.2
