Sure, let's solve this step by step.

1. **Calculate the original total sum of the scores:**
- The mean (µ) of the scores is 50.
- The number of scores (N) is 10.
- The total sum of the scores can be calculated as:
$$
\text{Total Sum} = \text{Mean} \times \text{Number of Scores} = 50 \times 10 = 500
$$

2. **Add 20 points to one of the scores:**
- When 20 points are added to one of the scores, the new total sum of the scores becomes:
$$
\text{New Total Sum} = 500 + 20 = 520
$$

3. **Calculate the new mean:**
- The number of scores (N) remains the same, which is 10.
- The new mean (µ') can be calculated as:
$$
\text{New Mean} = \frac{\text{New Total Sum}}{\text{Number of Scores}} = \frac{520}{10} = 52
$$

So, the new value for the population mean is 52.

Question

Sure, let's solve this step by step.

1. **Calculate the original total sum of the scores:**
   - The mean (µ) of the scores is 50.
   - The number of scores (N) is 10.
   - The total sum of the scores can be calculated as:
     $$
     \text{Total Sum} = \text{Mean} \times \text{Number of Scores} = 50 \times 10 = 500
     $$

2. **Add 20 points to one of the scores:**
   - When 20 points are added to one of the scores, the new total sum of the scores becomes:
     $$
     \text{New Total Sum} = 500 + 20 = 520
     $$

3. **Calculate the new mean:**
   - The number of scores (N) remains the same, which is 10.
   - The new mean (µ') can be calculated as:
     $$
     \text{New Mean} = \frac{\text{New Total Sum}}{\text{Number of Scores}} = \frac{520}{10} = 52
     $$

So, the new value for the population mean is 52.

Knowee AI · Accepted Answer

Sure, let's solve this step by step.

1. **Calculate the original total sum of the scores:**
   - The mean (µ) of the scores is 50.
   - The number of scores (N) is 10.
   - The total sum of the scores can be calculated as:
     $$
     \text{Total Sum} = \text{Mean} \times \text{Number of Scores} = 50 \times 10 = 500
     $$

2. **Add 20 points to one of the scores:**
   - When 20 points are added to one of the scores, the new total sum of the scores becomes:
     $$
     \text{New Total Sum} = 500 + 20 = 520
     $$

3. **Calculate the new mean:**
   - The number of scores (N) remains the same, which is 10.
   - The new mean (µ') can be calculated as:
     $$
     \text{New Mean} = \frac{\text{New Total Sum}}{\text{Number of Scores}} = \frac{520}{10} = 52
     $$

So, the new value for the population mean is 52.

A set of N = 10 scores has a mean of µ = 50. If 20 points are added to one of the scores, what is the new value for the population mean?Group of answer choices

Question

Solution

Similar Questions

Upgrade your grade with Knowee

A set of N = 10 scores has a mean of µ = 50. If 20 points are added to one of the scores, what is the new value for the population mean?​Group of answer choices

Question

Solution

Similar Questions

Upgrade your grade with Knowee

A set of N = 10 scores has a mean of µ = 50. If 20 points are added to one of the scores, what is the new value for the population mean?Group of answer choices