Question

there are 18 students in a certain painting class. their ages are shown below. complete the grouped relative - frequency distribution for the data. (note that we are using a class width of 6.) write each relative frequency as a decimal rounded to the nearest hundredth, not as a percentage. age: 34 19 23 38 30 22 27 21 17 28 20 31 15 26 24 30 33 32 age relative frequency 15 to 20 21 to 26 27 to 32 33 to 38

Explanation:

Step1: Count data in each group

15 - 20: 3 (19, 17, 15)
21 - 26: 5 (23, 22, 21, 26, 24)
27 - 32: 5 (30, 27, 28, 31, 30)
33 - 38: 5 (34, 38, 33, 32)

Step2: Calculate relative frequency

Relative frequency = $\frac{\text{Frequency of group}}{\text{Total number of data}}$
Total number of data = 18
15 - 20: $\frac{3}{18}\approx0.17$
21 - 26: $\frac{5}{18}\approx0.28$
27 - 32: $\frac{5}{18}\approx0.28$
33 - 38: $\frac{5}{18}\approx0.28$

Answer:

Age	Relative frequency
21 to 26	0.28
27 to 32	0.28
33 to 38	0.28