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

3:00 p.m. class
41, 60, 73, 77, 51, 62
68, 35, 53, 64, 74, 69
59, 73, 55, 75, 68, 76
74, 38, 77

8:00 p.m. class
18, 18, 19, 24, 19, 20
19, 20, 39, 22, 56, 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.)

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
41, 60, 73, 77, 51, 62
68, 35, 53, 64, 74, 69
59, 73, 55, 75, 68, 76
74, 38, 77

8:00 p.m. class
18, 18, 19, 24, 19, 20
19, 20, 39, 22, 56, 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.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Back-to-Back Stem-and-Leaf Plot" ], "current_concepts": [ "Back-to-Back Stem-and-Leaf Plot", "Data Organization" ] } ## Sort data for both classes $$ \begin{aligned} &\text{3:00 P.M. Class (21 values):}\ &35, 38, 41, 51, 53, 55, 59, 60, 62, 64, 68, 68, 69, 73, 73, 74, 74, 75, 76, 77, 77\\ &\text{8:00 P.M. Class (24 values):}\ &18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 22, 23, 24, 24, 25, 25, 31, 31, 39, 43, 44, 56, 71 \end{aligned} $$ ## Group leaves by stem in ascending order $$ \begin{aligned} &\text{3:00 P.M. Class (leaves ordered outwards from center stem):}\ &\text{Stem 3: } 8, 5\ &\text{Stem 4: } 1\ &\text{Stem 5: } 9, 5, 3, 1\ &\text{Stem 6: } 9, 8, 8, 4, 2, 0\ &\text{Stem 7: } 7, 7, 6, 5, 4, 4, 3, 3\\ &\text{8:00 P.M. Class (leaves ordered outwards from center stem):}\ &\text{Stem 1: } 8, 8, 8, 8, 9, 9, 9, 9\ &\text{Stem 2: } 0, 0, 0, 2, 3, 4, 4, 5, 5\ &\text{Stem 3: } 1, 1, 9\ &\text{Stem 4: } 3, 4\ &\text{Stem 5: } 6\ &\text{Stem 6: } \text{(none)}\ &\text{Stem 7: } 1 \end{aligned} $$ ## Format the back-to-back stem-and-leaf plot $$ \begin{array}{r|c|l} \text{3:00 P.M. Class Leaves} & \text{Stem} & \text{8:00 P.M. Class Leaves} \ \hline & 1 & 8, 8, 8, 8, 9, 9, 9, 9 \ & 2 & 0, 0, 0, 2, 3, 4, 4, 5, 5 \ 8, 5 & 3 & 1, 1, 9 \ 1 & 4 & 3, 4 \ 9, 5, 3, 1 & 5 & 6 \ 9, 8, 8, 4, 2, 0 & 6 & \ 7, 7, 6, 5, 4, 4, 3, 3 & 7 & 1 \end{array} $$ $$ \begin{array}{r|c|l} \text{3:00 P.M. Class} & \text{Stem} & \text{8:00 P.M. Class} \ \hline & 1 & 8, 8, 8, 8, 9, 9, 9, 9 \ & 2 & 0, 0, 0, 2, 3, 4, 4, 5, 5 \ 8, 5 & 3 & 1, 1, 9 \ 1 & 4 & 3, 4 \ 9, 5, 3, 1 & 5 & 6 \ 9, 8, 8, 4, 2, 0 & 6 & \ 7, 7, 6, 5, 4, 4, 3, 3 & 7 & 1 \end{array} $$ Key: $1|0 = 10$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Statistics", "Back-to-Back Stem-and-Leaf Plot" ] }

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QUESTION IMAGE

Question

Explanation:

Sort data for both classes

Group leaves by stem in ascending order

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

Answer: