Question

Fing the z-score for the following: Mean 17 Standard Deviation 2 Orginal scores: 1)18.5 2)16 3)15

Answer 1

Z-scores for the provided scores are 0.75, -0.5, and -1 respectively, indicating their distance in standard deviations from the mean.

Step-by-step explanation:

The z-score is a measure of how many standard deviations an original score is away from the mean. To calculate a z-score, the formula is (x - μ)/σ, where x is the original score, μ is the mean, and σ is the standard deviation.

For the original scores given:

• For 18.5: The z-score is (18.5 - 17)/2 = 0.75
• For 16: The z-score is (16 - 17)/2 = -0.5
• For 15: The z-score is (15 - 17)/2 = -1

This means that the score 18.5 is 0.75 standard deviations above the mean, the score 16 is 0.5 standard deviations below the mean, and the score 15 is 1 standard deviation below the mean.