Question

heights of 5th graders (in.)
stems leaves
4 6 8 8
5 0 5 6 6 7 8 8 9 9 9
6 0 0 0 0 1 1 5 6 8
how many students are at least 58 in. tall?
how many students are less than 58 in. tall?
list the heights of the students below:
create a stem - and - leaf plot using the following data: points scored in football games
21, 14, 7, 9, 30, 21, 6, 6, 28, 21, 31, 35, 14, 17, 20, 9, 24, 34, 7, 21, 28

Explanation:

Step1: Understand stem - and - leaf plot

In a stem - and - leaf plot, the stem is the tens digit and the leaf is the units digit. For example, in the stem 4 and leaf 6, the number is 46.

Step2: Count students at least 58 in. tall

For heights of 58 or more: In the 5 - stem row, leaves 8, 8, 9, 9, 9 contribute 5 students. In the 6 - stem row, there are 9 students. So, $5 + 9=14$ students.

Step3: Count students less than 58 in. tall

In the 4 - stem row, there are 3 students. In the 5 - stem row, leaves 0, 5, 6, 6, 7 contribute 5 students. So, $3+5 = 8$ students.

Step4: List all student heights

The heights are: 46, 48, 48, 50, 55, 56, 56, 57, 58, 58, 59, 59, 59, 60, 60, 60, 61, 61, 65, 66, 68.

Step5: Create new stem - and - leaf plot

Stems: 0, 1, 2, 3
For stem 0: Leaves 6, 6, 7, 7, 7, 9, 9, 9
For stem 1: Leaves 4, 4, 4, 7
For stem 2: Leaves 0, 1, 1, 1, 1, 1, 4, 8, 8, 8
For stem 3: Leaves 0, 1, 4, 4, 5

Answer:

How many students are at least 58 in. tall? 14
How many students are less than 58 in. tall? 8
List the heights of the students: 46, 48, 48, 50, 55, 56, 56, 57, 58, 58, 59, 59, 59, 60, 60, 60, 61, 61, 65, 66, 68
New stem - and - leaf plot:

Stems	Leaves
1	4 4 4 7
2	0 1 1 1 1 1 4 8 8 8
3	0 1 4 4 5