A personality test is administered to a larger group of subjects. Five scores are shown below, in original units and in standard units. Fill in the blanks.

See Later post.

To fill in the blanks, we need the original units and the corresponding standard units for each score.

Standard units are a way to measure the distance of a data point from the mean of a distribution, in terms of standard deviations.

Here's how you can calculate the standard units for each score:

1. Subtract the mean from each score: Calculate the mean (average) of the five scores. Let's say the mean is 50. Subtract 50 from each score.

2. Calculate the standard deviation: Calculate the standard deviation of the five scores. This measures the spread or dispersion of the scores around the mean. Let's say the standard deviation is 10.

3. Divide the difference obtained in step 1 by the standard deviation obtained in step 2: Divide the difference obtained in step 1 by the standard deviation obtained in step 2 for each score.

Let's assume the five scores are: 40, 60, 45, 55, 50.

Step 1: Subtract the mean from each score:
40 - 50 = -10
60 - 50 = 10
45 - 50 = -5
55 - 50 = 5
50 - 50 = 0

Step 2: Calculate the standard deviation:
To calculate the standard deviation, you would need the formula for standard deviation or access to a statistical software or calculator.

Step 3: Divide the difference obtained in step 1 by the standard deviation obtained in step 2 for each score:
-10 / standard deviation
10 / standard deviation
-5 / standard deviation
5 / standard deviation
0 / standard deviation

Fill in the blanks with the calculated standard units, which are the results obtained in step 3. Keep in mind that I could not calculate the standard units without the actual values of the mean and standard deviation.

If you have the mean and standard deviation, you can apply the process I just described to obtain the standard units.