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### Question 5.1:
**"Hvor mange elever i 10. A samlede mere end 100 stykker plastik ind?"**

Looking at the table, we are asked how many students from class 10.A collected more than 100 pieces of plastic. According to the intervals:

- \( [101; 125] \) → 1 student
- \( [126; 150] \) → 2 students
- \( [151; 175] \) → 5 students

The total number of students who collected more than 100 pieces of plastic is:

\[ 1 + 2 + 5 = 8 \]

### Question 5.2:
**"Cirka hvor mange stykker plastik samlede hver elev i 10. A i gennemsnit ind?"**

To find the average number of pieces collected per student in class 10.A, we need to calculate the weighted mean, using the middle of each interval for estimation.

The intervals and their corresponding midpoints are:
- \( [0; 25] \) → midpoint = 12.5, number of students = 0
- \( [26; 50] \) → midpoint = 38, number of students = 6
- \( [51; 75] \) → midpoint = 63, number of students = 6
- \( [76; 100] \) → midpoint = 88, number of students = 1
- \( [101; 125] \) → midpoint = 113, number of students = 1
- \( [126; 150] \) → midpoint = 138, number of students = 2
- \( [151; 175] \) → midpoint = 163, number of students = 5

Now, calculate the total pieces of plastic collected and the total number of students:

\[
\text{Total pieces} = (0 \times 12.5) + (6 \times 38) + (6 \times 63) + (1 \times 88) + (1 \times 113) + (2 \times 138) + (5 \times 163)
\]
\[
\text{Total pieces} = 0 + 228 + 378 + 88 + 113 + 276 + 815 = 1898
\]
\[
\text{Total students} = 0 + 6 + 6 + 1 + 1 + 2 + 5 = 21
\]

Finally, the average number of pieces collected by each student in 10.A is:

\[
\text{Average} = \frac{1898}{21} \approx 90.4
\]

### Question 5.3:
**"Undersøg, hvilke ligheder og forskelle der er mellem fordelingen af data fra 10. A og fordelingen af data fra 10. B, og skriv en kort tekst, der forklarer resultatet af din undersøgelse."**

To answer this, we need to compare the distributions of plastic pieces collected by students in 10.A and 10.B. The chart below shows the distribution for class 10.B.

- 10.A distribution seems more skewed toward higher intervals (100+), with more students collecting larger amounts.
- 10.B’s distribution is more centered, with a peak between 50 and 100 pieces.

**Comparison**:
- **Similarities**: Both distributions cover similar ranges (up to 175 pieces).
- **Differences**: In 10.A, more students collected over 100 pieces of plastic, while in 10.B, most students collected between 50 and 100 pieces, suggesting a more even effort among the students in 10.B compared to 10.A, where fewer students collected large amounts of plastic.

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Would you like further explanation on any part? Here are some related questions you might find useful:

1. How can we visualize the differences between 10.A and 10.B using a histogram?
2. What is the median amount of plastic collected by students in 10.A and 10.B?
3. How does skewness affect the interpretation of the data distributions in 10.A and 10.B?
4. What might cause the differences in the plastic collection efforts between 10.A and 10.B?
5. How would the inclusion of other statistics like mode or range help in comparing the two classes?

**Tip**: Always check the total number of students and the midpoints of intervals when calculating the average from grouped data.

Eleverne i 10. A deltog i 2020 i den årlige World Cleanup Day, hvor eleverne indsamlede plastaffald og resultaterne blev registreret i en tabel og diagram.

This problem analyzes plastic collection efforts by students during World Cleanup Day 2020. Using descriptive statistics, students calculate the average plastic collected and compare distributions between two classes.

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