How would adding 50 8/10 ratings impact your average score?
If you added 10 more albums with a rating of 5/10, what would your new average be?
What is the minimum number of 0/10 ratings needed to drop your average to 6/10?
How does the distribution of ratings affect your overall ranking more: adding high scores or low scores?
If you wanted to reach an 8/10 average, how many 10/10s would you need? 

### 1. How would adding 50 8/10 ratings impact your average score?

Let's calculate the new average after adding 50 more 8/10 ratings.

- **Current total sum of ratings**: 1211 (from the previous calculation)
- **New total number of ratings**: \(173 + 50 = 223\)
- **New total sum of ratings**: \(1211 + 50 \times 8 = 1211 + 400 = 1611\)

The new average would be:
\[
\text{New average} = \frac{1611}{223} \approx 7.22
\]
So, adding 50 ratings of 8/10 would increase your average to approximately **7.22**.

### 2. If you added 10 more albums with a rating of 5/10, what would your new average be?

Let's calculate the new average after adding 10 more 5/10 ratings.

- **New total number of ratings**: \(173 + 10 = 183\)
- **New total sum of ratings**: \(1211 + 10 \times 5 = 1211 + 50 = 1261\)

The new average would be:
\[
\text{New average} = \frac{1261}{183} \approx 6.89
\]
So, adding 10 ratings of 5/10 would decrease your average to approximately **6.89**.

### 3. What is the minimum number of 0/10 ratings needed to drop your average to 6/10?

Let \( z \) be the number of 0/10 ratings required. The new average would be:
\[
\text{New average} = \frac{1211}{173 + z} = 6
\]
Solving for \( z \):
\[
1211 = 6(173 + z)
\]
\[
1211 = 1038 + 6z
\]
\[
6z = 1211 - 1038 = 173
\]
\[
z = \frac{173}{6} \approx 28.83
\]
So, you would need a minimum of **29** 0/10 ratings to drop your average to a solid 6/10.

### 4. How does the distribution of ratings affect your overall ranking more: adding high scores or low scores?

The distribution of ratings affects your average based on the difference between the new rating and your current average:

- **Adding High Scores**: If you add ratings higher than your current average (7/10), your average will increase. The impact is greater if the number of ratings is small or the new ratings are significantly higher than the average.
  
- **Adding Low Scores**: If you add ratings lower than your current average, your average will decrease. Similar to high scores, the effect is more pronounced with a smaller initial number of ratings or when the new ratings are much lower than the average.

In summary, adding ratings that are further away from your current average (either higher or lower) has a stronger effect on shifting the overall average.

### 5. If you wanted to reach an 8/10 average, how many 10/10s would you need?

Let \( x \) be the number of 10/10 ratings required. The new average should be 8/10:
\[
\text{New average} = \frac{1211 + 10x}{173 + x} = 8
\]
Solving for \( x \):
\[
1211 + 10x = 8(173 + x)
\]
\[
1211 + 10x = 1384 + 8x
\]
\[
2x = 1384 - 1211 = 173
\]
\[
x = 86.5
\]
So, you would need **87** additional 10/10 ratings to make the average a solid 8/10.

Would you like more details or explanations on any of these? 

Here are 5 more related questions:
1. How would adding 100 7/10 ratings impact your current average?
2. If you added 20 more albums with a rating of 9/10, what would your new average be?
3. What is the minimum number of 1/10 ratings needed to drop your average to 5/10?
4. How many 0/10 ratings would it take to lower your average by 1 full point?
5. How does increasing the total number of ratings affect the influence of individual ratings on the average?

**Tip**: When you're near a specific target average, the number of ratings required to achieve that target increases exponentially the closer you get to it.

Explore how adding different ratings affects your average score calculation with detailed step-by-step solutions. Learn the impact of high and low scores, and find out how many top ratings you need to achieve specific average goals.

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