Final answer:
The mean represents the average of the data, while the standard deviation represents the spread of the data around the mean. To identify the mean and standard deviation of the data, determine the values that correspond to the shaded area representing approximately 95% of the test scores.
Step-by-step explanation:
The mean represents the average of the data, while the standard deviation represents the spread of the data around the mean. To identify the mean and standard deviation of the data, you need to determine the values that correspond to the shaded area representing approximately 95% of the test scores.
First, find the mean by identifying the value on the x-axis that represents the center of the shaded area. Then, find the standard deviation by calculating the distance between the mean and the two points where the shaded area ends.
For example, if the shaded area is centered around 80 on the x-axis, with the shaded area ending at approximately 75 and 85, the mean would be 80 and the standard deviation would be 5 (85 - 80 = 80 - 75 = 5).