QUESTION IMAGE
Question
in a botanical survey of a meadow, the following counts of flowering plants were recorded and organized into the table below. compute the relative frequency distribution for this data.
round all relative frequencies to 4 decimal places.
frequency distribution of plant species
| plant species | frequency |
|---|---|
| buttercups | 25 |
| bluebells | 18 |
| poppies | 33 |
| violets | 21 |
| other species | 31 |
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relative frequency distribution of plant species
| plant species | relative frequency |
|---|---|
| buttercups | .148 |
| bluebells | .107 |
| poppies | .196 |
| violets | .125 |
| other species | .184 |
| total |
below is a scientific calculator app for ease of calculations.
Step1: Calculate total frequency
$40 + 25+18 + 33+21+31=168$
Step2: Calculate relative frequency for Daisies
Relative frequency = $\frac{40}{168}\approx0.2381$
Step3: Calculate relative frequency for Buttercups
Relative frequency = $\frac{25}{168}\approx0.1488$
Step4: Calculate relative frequency for Bluebells
Relative frequency = $\frac{18}{168}\approx0.1071$
Step5: Calculate relative frequency for Poppies
Relative frequency = $\frac{33}{168}\approx0.1964$
Step6: Calculate relative frequency for Violets
Relative frequency = $\frac{21}{168}= 0.1250$
Step7: Calculate relative frequency for Other species
Relative frequency = $\frac{31}{168}\approx0.1845$
Step8: Calculate total of relative frequencies
The total of relative - frequencies in a relative - frequency distribution is always 1.
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| Plant Species | Relative Frequency |
|---|---|
| Buttercups | 0.1488 |
| Bluebells | 0.1071 |
| Poppies | 0.1964 |
| Violets | 0.1250 |
| Other species | 0.1845 |
| Total | 1 |