To find the mean of the given sample of scores, follow these steps:

1. Sum the scores: $1 + 4 + 5 + 10 = 20$

2. Count the number of scores: There are 4 scores.

3. Divide the sum by the number of scores to get the mean: $\text{Mean} = \frac{20}{4} = 5$

Thus, the mean of the scores is 5.

Correct answer: 5

Would you like more details or have any questions?

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Here are 5 related questions to consider:

1. What is the median of the same sample of scores?
2. How does the mean change if we add another score to the sample?
3. What is the range of the sample of scores?
4. How does the mean compare to the mode for this set of data?
5. What would the mean be if we multiplied all scores by 2?

Tip: The mean is a measure of central tendency that is sensitive to extreme values (outliers).