Fill in the blanks with the appropriate raw scores, z-scores, T-scores, and percentile ranks. NOTE: the Mean = 50, SD = 5.

________________________________________
Raw z T %ile
________________________________________
35
1.2
35
16

Why are two of the scores 35? Typo?

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the percentiles related to the Z scores.

T = 50 + 10Z

25

Please help me.

Thank you

To fill in the blanks with the appropriate scores, we need to understand the different types of scores and how to calculate them.

1. Raw Score: The raw score represents the original data point without any transformations.

2. Z-score: The z-score is a standardized score that measures how many standard deviations a data point is away from the mean. To calculate the z-score, we use the formula:

z = (X - μ) / σ

where X is the raw score, μ is the mean, and σ is the standard deviation.

3. T-score: The T-score is another standardized score that is commonly used in educational testing. It is similar to the z-score but has a slightly different scaling. To convert z-scores to T-scores, we use the formula:

T = (z * 10) + 50

This formula scales the z-scores to have a mean of 50 and a standard deviation of 10.

4. Percentile Rank: The percentile rank represents the percentage of scores that fall below a particular data point. To calculate the percentile rank, we can use the empirical rule or a calculator/statistical software.

Now, let's fill in the blanks using the information provided:

Raw z T %ile
________________________________________
35 1.2 62 16

To find the z-score for a raw score of 35:
z = (X - μ) / σ
= (35 - 50) / 5
= -15 / 5
= -3

To find the T-score for a z-score of 1.2:
T = (z * 10) + 50
= (1.2 * 10) + 50
= 12 + 50
= 62

To find the percentile rank for a raw score of 35, we can use a statistical software or consult a z-score to percentile rank table. According to the information provided, the percentile rank is 16.