Question

what is the greatest value represented in the stem - leaf plot? stem - leaf table: stem 0, leaf 4; stem 1, leaf 6,7,8; stem 2, leaf (blurry); stem 3, leaf (blurry); stem 4, leaf (blurry); stem 5, leaf 6,9

Explanation:

Step1: Understand stem - leaf plot

In a stem - leaf plot, the stem represents the tens place and the leaf represents the ones place. So each number is formed as \(10\times\text{stem}+\text{leaf}\).

Step2: Find the maximum stem

First, we look at the stems. The stems are 0, 1, 2, 3, 4, 5. The largest stem here is 5.

Step3: Find the maximum leaf for stem 5

For the stem 5, the leaves are 6 and 9. The largest leaf among them is 9.

Step4: Calculate the number

To find the number, we use the formula \(10\times\text{stem}+\text{leaf}\). Substituting stem = 5 and leaf = 9, we get \(10\times5 + 9=50 + 9 = 59\)? Wait, no, wait. Wait, maybe I misread the stem - leaf plot. Wait, let's re - examine. Wait, maybe the stem is the tens digit and leaf is the units digit. Wait, let's list all possible numbers:

• Stem 0, leaf 4: 04 = 4
• Stem 1, leaves 6,7,8: 16, 17, 18
• Stem 2, leaves 8,8,8,9,8: 28, 28, 28, 29, 28
• Stem 3, leaves (let's assume the leaves are, say, 5,5,5,5,5,6,7? Wait, the original plot: maybe the stem 3 has leaves that we need to parse. Wait, maybe the user's stem - leaf plot:

Wait, the stem - leaf plot is:

Stem | Leaf

0 | 4

1 | 6,7,8

2 | 8,8,8,9,8

3 | 5,5,5,5,5,6,7

4 | 6,6,1,5,9

5 | 6,9

Wait, maybe I misread. Wait, to find the greatest value, we need the largest stem first. The largest stem is 5. Then the largest leaf in stem 5 is 9. So the number is \(5\times10+9 = 59\)? But the options are 4,23,75,97. Wait, maybe I misinterpret the stem - leaf plot. Wait, maybe the stem is the tens digit and the leaf is the units digit, but maybe the stem is the ones digit? No, that doesn't make sense. Wait, maybe the stem - leaf plot is written differently. Wait, maybe the stem is the first digit and the leaf is the second digit. Wait, let's check the options. The options are 4,23,75,97. So 97 is a two - digit number. So maybe the stem is the tens digit and the leaf is the units digit, but maybe the stem - leaf plot has a stem of 9? Wait, no, the stems shown are 0,1,2,3,4,5. Wait, maybe the image is misread. Wait, maybe the stem - leaf plot is:

Wait, perhaps the stem is the tens place and the leaf is the units place, but the numbers are like:

Wait, maybe the stem 9? No, the stems in the plot are 0,1,2,3,4,5. Wait, maybe the question is about the greatest value represented, and among the options 4,23,75,97. Wait, maybe I made a mistake in the stem - leaf plot interpretation. Wait, let's think again. The stem - leaf plot:

Stem 0, leaf 4: 4

Stem 1, leaves 6,7,8: 16,17,18

Stem 2, leaves 8,8,8,9,8: 28,28,28,29,28

Stem 3, leaves (let's say 5,5,5,5,5,6,7): 35,35,35,35,35,36,37

Stem 4, leaves 6,6,1,5,9: 46,46,41,45,49

Stem 5, leaves 6,9: 56,59

But the options are 4,23,75,97. None of the numbers from the stem - leaf plot (as I interpreted) match 75 or 97. Wait, maybe the stem - leaf plot is written with the stem as the tens digit and the leaf as the units digit, but maybe the stem is the higher digit. Wait, maybe the stem is the first digit and the leaf is the second digit, but the stem can be two digits? No, stem - leaf plot usually has stem as one digit (tens) and leaf as one digit (units) for two - digit numbers. Wait, maybe the question is not about the stem - leaf plot numbers but the options. Wait, the options are 4,23,75,97. The greatest among them is 97.

Answer:

97