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

Explanation:

Step1: Count data in each group

For 15 - 20: There are 3 values (19, 17, 15), frequency = 3.

Step2: Calculate relative frequency for 15 - 20

Relative frequency = $\frac{3}{18}\approx0.17$

Step3: Count data in 21 - 26 group

There are 5 values (23, 22, 21, 26, 24), frequency = 5.

Step4: Calculate relative frequency for 21 - 26

Relative frequency = $\frac{5}{18}\approx0.28$

Step5: Count data in 27 - 32 group

There are 5 values (27, 28, 31, 30, 32), frequency = 5.

Step6: Calculate relative frequency for 27 - 32

Relative frequency = $\frac{5}{18}\approx0.28$

Step7: Count data in 33 - 38 group

There are 5 values (34, 38, 33), frequency = 5.

Step8: Calculate relative frequency for 33 - 38

Relative frequency = $\frac{5}{18}\approx0.28$

Answer:

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