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What is necessary to determine the z-score for a raw score in a particular set of scores?

a. the median X score and the mean for the set
b. the number of scores and standard deviation for the set
c. the highest, lowest, and mean scores for the set
d. The mean and standard deviation of the set

User Rshankar
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Final answer:

To determine the z-score for a raw score, you need the mean and standard deviation of the set of scores. The z-score is the number of standard deviations a raw score is above or below the mean.

Step-by-step explanation:

To determine the z-score for a raw score in a particular set of scores, you need the mean (μ) and standard deviation (σ) of the set. The correct choice is d. The mean and standard deviation of the set. A z-score is calculated by taking the raw score (x), subtracting the mean (μ), and then dividing the result by the standard deviation (σ). This formula is represented as z = (x - μ) / σ. This calculation standardizes the raw scores, so you can compare them to a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

For example, if a student scored 95 on a biology exam where the mean score is 85 and the standard deviation is 5, the z-score would be (95 - 85) / 5, which equals 2. This z-score tells us that the student's exam score is 2 standard deviations above the mean.

User Cyebukayire
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