Question

chapter 4 quiz
score: 0/10 answered: 3/10
question 4
the following data show the distances (in miles) from the homes of off - campus statistics students to the college:
24 31 9 32 42
7 8 37 41 17
17 31 24 14 7
44
construct stem - and - leaf diagram:
0|
1|
2|
3|
4|
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check answer

Explanation:

Step1: Organize the data

First, list out all the data values: \(24,31,9,32,42,7,8,37,41,17,17,31,24,14,7,44\)

Step2: Determine stems

The stems will be the tens - digit of the numbers. The possible stems are \(0\) (for numbers \(0 - 9\)), \(1\) (for numbers \(10 - 19\)), \(2\) (for numbers \(20 - 29\)), \(3\) (for numbers \(30 - 39\)), \(4\) (for numbers \(40 - 49\))

Step3: Assign leaves

For stem \(0\): The leaves are \(7,7,8,9\) (from the numbers \(7,7,8,9\))
For stem \(1\): The leaves are \(4,7,7\) (from the numbers \(14,17,17\))
For stem \(2\): The leaves are \(4,4\) (from the numbers \(24,24\))
For stem \(3\): The leaves are \(1,1,2,7\) (from the numbers \(31,31,32,37\))
For stem \(4\): The leaves are \(1,2,4\) (from the numbers \(41,42,44\))

Answer:

0| \(7\ 7\ 8\ 9\)
1| \(4\ 7\ 7\)
2| \(4\ 4\)
3| \(1\ 1\ 2\ 7\)
4| \(1\ 2\ 4\)