Question

question 12
ages number of students relative frequency
15 - 18 3 %
19 - 22 8 %
23 - 26 2 %
27 - 30 9 %
31 - 34 6 %
35 - 38 10 %
give your answers as a percents, rounded to one decimal place.
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Explanation:

Step1: Calculate total number of students

Total number of students \(=3 + 8+2 + 9+6 + 10=38\)

Step2: Calculate relative frequency for each age - group

For \(15 - 18\) age - group

Relative frequency \(=\frac{3}{38}\times100\approx7.9\%\)

For \(19 - 22\) age - group

Relative frequency \(=\frac{8}{38}\times100\approx21.1\%\)

For \(23 - 26\) age - group

Relative frequency \(=\frac{2}{38}\times100\approx5.3\%\)

For \(27 - 30\) age - group

Relative frequency \(=\frac{9}{38}\times100\approx23.7\%\)

For \(31 - 34\) age - group

Relative frequency \(=\frac{6}{38}\times100\approx15.8\%\)

For \(35 - 38\) age - group

Relative frequency \(=\frac{10}{38}\times100\approx26.3\%\)

Answer:

\(15 - 18\): \(7.9\%\), \(19 - 22\): \(21.1\%\), \(23 - 26\): \(5.3\%\), \(27 - 30\): \(23.7\%\), \(31 - 34\): \(15.8\%\), \(35 - 38\): \(26.3\%\)