A population has u=100 σ=20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer

If you are talking about 50% of the time, it is ± .675 SD.

One week Laura earned a total of $350. Of that amount $245 were tips. If she worked a 30-hour week, what was the hourly rate she received?

First, if you have a question, it is much better to put it in as a separate post in <Post a New Question> rather than attaching it to a previous question, where it is more likely to be overlooked.

(350-245)/30 = ?

To determine how close a single score from a population would be to the population mean, we need to consider the concept of standard deviation. The standard deviation (σ) provides a measure of how spread out the scores in a population are from the mean.

In this case, the population mean (u) is given as 100 and the standard deviation (σ) is given as 20.

To calculate the average distance of a single score from the population mean, we can use the standard deviation. On average, a single score is expected to be within one standard deviation on either side of the mean.

Therefore, in this case, a single score from the population would typically be on average within 20 units (one standard deviation) of the population mean of 100. This means that the score would be expected to fall within the range of 80 to 120.

Keep in mind that this is an average, and individual scores can deviate further from the mean. However, this provides a general understanding of how close a single score is likely to be to the population mean based on the given standard deviation.