9) A specific score in a distribution of data minus the mean and divided by the standard deviation produces a value known as a…?
A. Beta
B. Z Score
C. Variability Score
D. Coefficient of Determination
B. Z Score
The correct answer is B. Z Score.
The value obtained by subtracting the mean from a specific score in a distribution of data and then dividing it by the standard deviation is known as a Z score.
To calculate the Z score, you can follow these steps:
1. Calculate the mean of the distribution by adding up all the values and dividing by the total number of values.
2. Calculate the standard deviation of the distribution, which is a measure of how spread out the data is from the mean. This can be done using a formula or by using statistical software or calculators.
3. Subtract the mean from the specific score you want to find the Z score for.
4. Divide the difference by the standard deviation.
The resulting Z score tells you how many standard deviations away from the mean the specific score is. A positive Z score indicates that the score is above the mean, while a negative Z score indicates that the score is below the mean. The Z score allows you to compare values from different distributions and understand their relative positions within their respective distributions, regardless of the original measurement scale.