Question

the stem and leaf plot below represents the amount of practice problems that bryant has completed each day to study for an upcoming test. on how many days did bryant complete more than 8 problems?
stem | leaf
0 | 0, 1, 5, 8, 9
1 | 3, 5, 6, 7, 9
2 | 8, 9, 9
3 | 2, 6
show your work here

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. We need to find the number of days where the number of problems completed is more than 8. So we consider the cases where the number is 9 or more (since numbers like 13, 15 etc. are also more than 8).

Step2: Analyze each stem

- **Stem 0**: The numbers are 0, 1, 5, 8, 9. The numbers more than 8 here is just 9. So 1 number.
- **Stem 1**: The numbers are 13, 15, 16, 17, 19 (since stem is 1, leaf is ones place). All of these are more than 8. There are 5 numbers.
- **Stem 2**: The numbers are 28, 29, 29. All of these are more than 8. There are 3 numbers.
- **Stem 3**: The numbers are 32, 36. All of these are more than 8. There are 2 numbers.

Step3: Sum the counts

Now we sum up the number of days from each stem: \(1 + 5+3 + 2=11\). Wait, wait, no. Wait, let's re - evaluate. Wait, when stem is 0, the numbers are single - digit numbers (0,1,5,8,9). So numbers more than 8 in stem 0: only 9 (since 8 is not more than 8). So 1. Stem 1: the numbers are 13,15,16,17,19. All are more than 8. So 5. Stem 2: 28,29,29. All more than 8. 3. Stem 3: 32,36. All more than 8. 2. Now sum: \(1 + 5+3 + 2 = 11\)? Wait, no, wait another way. Wait, maybe I misinterpreted the stem. Wait, maybe the stem is the ones place? No, no, usually stem is the tens place. Wait, no, maybe in this case, the stem is the ones place? Wait, no, the problem says "the amount of practice problems", maybe the stem is the ones place? Wait, no, that doesn't make sense. Wait, maybe the numbers are single - digit? Wait, no, the stem - leaf plot: if stem is 0, the numbers are 0,1,5,8,9 (single - digit). Stem 1: 13,15,16,17,19 (two - digit, stem 1 (tens place), leaf (ones place)). Wait, but maybe the question is considering the number of problems as the number formed by stem and leaf, but maybe the stem is the ones place? No, that's not standard. Wait, maybe the problem is that "more than 8" means the number of problems is greater than 8, so we look at all the leaves where the number (stem*10 + leaf) > 8.

Wait, let's list all the numbers:

From stem 0: 0,1,5,8,9. Numbers >8: 9 (1 number)

From stem 1: 13,15,16,17,19. All are >8 (5 numbers)

From stem 2: 28,29,29. All are >8 (3 numbers)

From stem 3: 32,36. All are >8 (2 numbers)

Now sum: \(1 + 5+3 + 2=11\)? Wait, no, wait another approach. Wait, maybe the stem is the ones place? No, that would mean stem 0: 0,1,5,8,9 (single - digit), stem 1: 13,15,16,17,19 (two - digit, stem 1 (ones place)? No, that's not right. Wait, maybe the problem is that the numbers are single - digit or two - digit, and we just need the value (stem and leaf combined) to be more than 8. So:

Stem 0: values are 0,1,5,8,9. Values >8: 9 (1)

Stem 1: values are 13,15,16,17,19. All >8 (5)

Stem 2: values are 28,29,29. All >8 (3)

Stem 3: values are 32,36. All >8 (2)

Now sum: 1 + 5+3 + 2 = 11? Wait, but let's count the number of leaves for numbers >8:

Wait, maybe a better way: count the number of leaves where the number (stem*10 + leaf) >8.

For stem 0: leaf 9 (1 number)

For stem 1: all 5 leaves (since 13>8, 15>8, 16>8, 17>8, 19>8)

For stem 2: all 3 leaves (28>8, 29>8, 29>8)

For stem 3: all 2 leaves (32>8, 36>8)

Now sum: 1+5 + 3+2=11. Wait, but let's check again. Wait, stem 0: the number 9 is 9>8, so 1. Stem 1: 5 numbers. Stem 2: 3 numbers. Stem 3: 2 numbers. 1 + 5=6, 6+3 = 9, 9+2=11.

Wait, but maybe I made a mistake. Let's list all the numbers:

From stem 0: 0,1,5,8,9. Numbers >8: 9 (1 day)

From stem 1: 13,15,16,17,19. All are >8. So 5 days.

From stem 2: 28,29,29. All >8. 3 days.

From stem 3: 32,36. All >8. 2 days.

Total days: 1+5 + 3+2 = 11.

Wait, but let's check the stem - leaf plot again. Wait, maybe the stem is the ones place? No, that would not make sense for stem 1, 2, 3. So the correct way is as above.

Answer:

11