Question

practice: descriptive statistics
score: 0/30 answered: 0/30
question 1
consider the following data.
18 25 31 31 32
33 34 37 39 41
42 43 44 45 46
46 49 53 53 57
59
construct a stem-and-leaf plot.
stem | leaf

Explanation:

Step1: Identify stems (tens digits)

The data values are: 18, 25, 31, 31, 32, 33, 34, 37, 39, 41, 42, 43, 44, 45, 46, 46, 49, 53, 53, 57, 59. The tens digits (stems) are 1, 2, 3, 4, 5.

Step2: List leaves (units digits) for each stem

• Stem 1: Data with tens digit 1 is 18. Leaf: 8
• Stem 2: Data with tens digit 2 is 25. Leaf: 5
• Stem 3: Data with tens digit 3: 31, 31, 32, 33, 34, 37, 39. Leaves: 1, 1, 2, 3, 4, 7, 9 (sorted)
• Stem 4: Data with tens digit 4: 41, 42, 43, 44, 45, 46, 46, 49. Leaves: 1, 2, 3, 4, 5, 6, 6, 9 (sorted)
• Stem 5: Data with tens digit 5: 53, 53, 57, 59. Leaves: 3, 3, 7, 9 (sorted)

Answer:

Stem	Leaf
2	5
3	1, 1, 2, 3, 4, 7, 9
4	1, 2, 3, 4, 5, 6, 6, 9
5	3, 3, 7, 9