Question

what is the greatest value represented in the stem-leaf-plot?
stem | leaf
0 | 4
1 | 0, 7, 8
2 | 3, 3, 4, 7, 8
3 | 2, 2, 2, 3, 5, 7, 7
4 | 0, 0, 1, 1, 3
5 | 6, 7
options: 4, 23, 75, 57

Explanation:

Step1: Understand stem - leaf plot

In a stem - leaf plot, the stem represents the tens place (or higher place values) and the leaf represents the ones place. To find the greatest value, we need to find the largest stem and then the largest leaf within that stem.

Step2: Identify the largest stem

Looking at the stems (0, 1, 2, 3, 4, 5), the largest stem is 5.

Step3: Identify the largest leaf for stem 5

For stem 5, the leaves are 6 and 7. The largest leaf here is 7.

Step4: Form the number

To form the number, we take the stem (5, which is in the tens place, so 5×10) and the leaf (7, which is in the ones place). So the number is \(5\times10 + 7=57\).

Answer:

57