Question

the data set shows the ages of all participants in two yoga classes. complete parts (a) through (d) below.

3:00 p.m. class
40, 60, 74, 77, 51, 67
68, 35, 53, 64, 76, 69
59, 73, 55, 75, 68, 76
74, 38, 77

8:00 p.m. class
19, 18, 19, 24, 19, 29
19, 20, 35, 22, 55, 25
24, 19, 18, 43, 23, 71
18, 31, 20, 25, 44, 31

(a) make a back to back stem-and-leaf plot to display the data.
key: 1|0 = 10
(use ascending order.)

(b) what are the lowest and highest ages of participants in the 3:00 p.m. and 8:00 p.m. class?
the lowest age in the 3:00 p.m. class is years and the oldest age is years.
the lowest age in the 8:00 p.m. class is years and the oldest age is years.

Explanation:

Complete the back-to-back stem-and-leaf plot

For the 3:00 P.M. Class, we sort the leaves in ascending order moving outward from the stem:

• Stem 3: Ages are 35, 38. Leaves are \(5, 8\).
• Stem 4: Age is 40. Leaf is \(0\).
• Stem 5: Ages are 51, 53, 55, 59. Leaves are \(1, 3, 5, 9\).
• Stem 6: Ages are 60, 64, 67, 68, 68, 69. Leaves are \(0, 4, 7, 8, 8, 9\).
• Stem 7: Ages are 73, 74, 74, 75, 76, 76, 77, 77. Leaves are \(3, 4, 4, 5, 6, 6, 7, 7\).

For the 8:00 P.M. Class, we sort the leaves in ascending order moving outward from the stem:

• Stem 4: Ages are 43, 44. Leaves are \(3, 4\).

Find the lowest and highest ages for the 3:00 P.M. class

Using the sorted data or the completed stem-and-leaf plot:

• Lowest age: \(35\)
• Highest age: \(77\)

Find the lowest and highest ages for the 8:00 P.M. class

Using the sorted data or the completed stem-and-leaf plot:

• Lowest age: \(18\)
• Highest age: \(71\)

Answer:

Question 1

Make a back to back stem-and-leaf plot to display the data.

3:00 P.M. Class
<blank>\(5,8\)</blank> 3
<blank>\(0\)</blank> 4
<blank>\(9,5,3,1\)</blank> 5
<blank>\(9,8,8,7,4,0\)</blank> 6
<blank>\(7,7,6,6,5,4,4,3\)</blank> 7

8:00 P.M. Class
3 <blank>\(1,1,5\)</blank>
4 <blank>\(3,4\)</blank>
5 <blank>\(5\)</blank>
6
7 <blank>\(1\)</blank>

Question 2

What are the lowest and highest ages of participants in the 3:00 P.M. and 8:00 P.M. class?

The lowest age in the 3:00 P.M. class is <blank>35</blank> years and the oldest age is <blank>77</blank> years.
The lowest age in the 8:00 P.M. class is <blank>18</blank> years and the oldest age is <blank>71</blank> years.