question 1\nimagine the data on a graph has a mean (μ = 50) and a standard deviation (σ = 10).\nwhat would…

Explanation:

Step1: Recall the formula for score calculation

Score = $\mu\pm n\sigma$, where $\mu$ is the mean, $n$ is the number of standard - deviations, and $\sigma$ is the standard deviation.

Step2: Calculate score two standard deviations above the mean

Score = $\mu + 2\sigma$. Substitute $\mu = 50$ and $\sigma = 10$. So, Score = $50+2\times10=70$.

Step3: Calculate score one standard deviation below the mean

Score = $\mu-\sigma$. Substitute $\mu = 50$ and $\sigma = 10$. So, Score = $50 - 10=40$.

Step4: Calculate score two standard deviations below the mean

Score = $\mu - 2\sigma$. Substitute $\mu = 50$ and $\sigma = 10$. So, Score = $50-2\times10 = 30$.

Step5: Calculate score one standard deviation above the mean

Score = $\mu+\sigma$. Substitute $\mu = 50$ and $\sigma = 10$. So, Score = $50 + 10=60$.

Answer:

Score that is two standard deviations above the mean: 70 Score that is one standard deviation below the mean: 40 Score that is two standard deviations below the mean: 30 Score that is one standard deviation above the mean: 60