QUESTION IMAGE
Question
50 51 52 54 59 51 53
54 50 58 51 54 53
56 58 56 70 54 52
58 54 64 52 73 57
50 60 56 50 66 54
52 51 58 63 57 52
51 50 61 52 65 50
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construct a stem and leaf plot and analyze the data. use two stems for each first digit: one will have leaves 0–4 and the second 5–9. do not separate the answers with commas. if there are no leaves, enter
one\.
5 □
5 □
6 □
6 □
7 □
Step1: Identify data with stem 5 (leaves 0 - 4)
First, we look at all data points where the tens digit is 5 and the units digit is 0 - 4. The data points are: 50, 51, 52, 54, 51, 53, 54, 50, 51, 54, 53, 52, 54, 52, 50, 50, 52, 51, 50. Now we list the units digits: 0,1,2,4,1,3,4,0,1,4,3,2,4,2,0,0,2,1,0. Sorting these units digits: 0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4. So the leaves for stem 5 (0 - 4) are 0000011112222334444.
Step2: Identify data with stem 5 (leaves 5 - 9)
Next, data points with tens digit 5 and units digit 5 - 9: 59, 58, 58, 56, 58, 56, 57, 58, 57, 58. Units digits: 9,8,8,6,8,6,7,8,7,8. Sorting: 6,6,7,7,8,8,8,8,8,9. So leaves for stem 5 (5 - 9) are 6677888889.
Step3: Identify data with stem 6 (leaves 0 - 4)
Data with tens digit 6 and units digit 0 - 4: 60, 63, 61. Units digits: 0,3,1. Sorting: 0,1,3. Leaves: 013.
Step4: Identify data with stem 6 (leaves 5 - 9)
Data with tens digit 6 and units digit 5 - 9: 66, 65. Units digits: 6,5. Sorting: 5,6. Leaves: 56.
Step5: Identify data with stem 7 (leaves 0 - 4)
Data with tens digit 7 and units digit 0 - 4: 70. Units digit: 0. Leaf: 0.
Step6: Identify data with stem 7 (leaves 5 - 9)
Data with tens digit 7 and units digit 5 - 9: 73. Units digit: 3? Wait, no, 73 has units digit 3, but we need 5 - 9. Wait, 73: units digit 3, so for stem 7 (5 - 9), there are no data points. So leaf is None.
Now let's fill the stem - leaf plot:
- Stem 5 (0 - 4): leaves 0000011112222334444
- Stem 5 (5 - 9): leaves 6677888889
- Stem 6 (0 - 4): leaves 013
- Stem 6 (5 - 9): leaves 56
- Stem 7 (0 - 4): leaves 0
- Stem 7 (5 - 9): leaves None
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For stem 5 (leaves 0 - 4): 0000011112222334444
For stem 5 (leaves 5 - 9): 6677888889
For stem 6 (leaves 0 - 4): 013
For stem 6 (leaves 5 - 9): 56
For stem 7 (leaves 0 - 4): 0
For stem 7 (leaves 5 - 9): None
(If we consider the boxes in the image, assuming the first 5 is for 5 (0 - 4), second 5 for 5 (5 - 9), 6 for 6 (0 - 4), next 6 for 6 (5 - 9), 7 for 7 (0 - 4) and maybe another 7 for 7 (5 - 9))