Which stem-and-leaf plot represents the data set below?
56,65,67,72,85,88,89,96,97,104,113
A.
5|6
6|5 7
7|2
8|5 8 9
9|6 7
1|04
1|113
B.
5|6
6|5 7
7|2
8|5 8 9
9|6 7
1| 0 4
1| 1 3
c.
5|6
6|5 6 7
7|2
8|5 9
9|6 7 8
10|4
11|3
Sorry here is the rest
5|6
6|5 7
7|2
8|5 8 9
9|6 7
10|4
11|3
Is the answer A?
Thank you
The correct answer is option B.
The stem-and-leaf plot in option B represents the data set accurately. Each line represents a stem and the numbers after the vertical line represent the leaves. By comparing the stem-and-leaf plot in option B to the given data set, you can see that every data point is correctly represented.
To create a stem-and-leaf plot, we start by separating each number into a stem and a leaf. The stem is the digit(s) on the left side, and the leaf is the rightmost digit.
Looking at the given data set, we can separate them into stems and leaves as follows:
56 - stem: 5, leaf: 6
65 - stem: 6, leaf: 5
67 - stem: 6, leaf: 7
72 - stem: 7, leaf: 2
85 - stem: 8, leaf: 5
88 - stem: 8, leaf: 8
89 - stem: 8, leaf: 9
96 - stem: 9, leaf: 6
97 - stem: 9, leaf: 7
104 - stem: 10, leaf: 4
113 - stem: 11, leaf: 3
Now let's compare the given options:
A.
5|6
6|5 7
7|2
8|5 8 9
9|6 7
1|04
1|113
B.
5|6
6|5 7
7|2
8|5 8 9
9|6 7
1| 0 4
1| 1 3
C.
5|6
6|5 6 7
7|2
8|5 9
9|6 7 8
10|4
11|3
To determine which stem-and-leaf plot represents the given data set, we need to match the stems and leaves correctly.
Looking at option A, we can see that it matches the stems and leaves correctly. The stems are listed in ascending order (5, 6, 7, 8, 9, 10, 11) and the corresponding leaves are grouped accordingly.
Therefore, the stem-and-leaf plot that represents the given data set is option A.