Question

consider the standard normal curve given. the mean is 30. the standard deviation is dropdown with 5, 20, 30, 40. the data point 37 is dropdown one standard deviation from the mean. graph: normal distribution curve with x - axis labeled 20, 25, 30, 35, 40; 30 marked as mean, σ = 5 marked below 30

Explanation:

Step1: Identify standard deviation from graph

The graph shows $\sigma = 5$, so the standard deviation is 5.

Step2: Confirm with data point

Mean is 30, data point 37. Difference: $37 - 30 = 7$? Wait, no, wait the graph's $\sigma = 5$. Wait, the dropdown has 5,20,30,40. From the graph, $\sigma = 5$, so standard deviation is 5. Also, check the distance between mean (30) and other points. 30 + 5 = 35, 35 + 5 = 40? Wait 30 to 35 is 5, 35 to 40 is 5. So standard deviation is 5.

Answer:

5