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Example Questions
Example Question #7 :Z Scores
In a normal distribution, if the mean score is 8 in a gymnastics competition and the student scores a 9.3, what is the z-score if the standard deviation is 2.5?
Write the formula to find the z-score. Z-scores are defined as the number of standard deviations from the given mean.
Substitute the values into the formula and solve for the z-score.
Example Question #8 :Z Scores
Suppose a student scored aon a test. The mean of the tests are, and the standard deviation is.学生的z分数是多少?
Write the formula for z-score whereis the data,is the population mean, andis the population standard deviation.
Substitute the variables.
The z-score is:
Example Question #9 :Z Scores
Suppose Bob's test score is 50. Determine the z-score if the standard deviation is 3, and the mean is 75.
Write the formula for z-scores. This tells how many standard deviations above the below the mean.
Substitute the known values into the equation.
The z-score is:
Example Question #10 :Z Scores
Find the z-score if the result of a test score is 6, the mean is 8, the standard deviation is 2.
Write the formula to determine the z-scores.
Substitute all the known values into the formula to determine the z-score.
Simplify this equation.
The answer is:
Example Question #11 :Z Scores
Determine the z-score of a test result is 45, the mean is 60, and the standard deviation is 8.
Write the formula for z-scores. Z-scores determine the number of standard deviations below or above the mean.
Substitute the values into the formula to determine the z-score.
The z-score is.
Example Question #12 :Z Scores
Suppose Billy scored a 54 on his exam. The mean of the exam grades is 66 and the standard deviation is 3. What is the z-score?
Write the formula for z-scores. Z scores determine how many standard deviations a score is above or below the mean.
Substitute the known values in order to determine the z-score.
The answer is:
Example Question #13 :Z Scores
Sarah scored an 8.5 out of ten on her gymnastics floor routine. If the mean of the scores is 9.2 and the standard deviation is 1.3, what is her z-score?
Write the formula for z-scores. Z-scores are indicators of how many standard deviations above or below the mean.
Substitute the known values.
The answer is:
Example Question #14 :Z Scores
You just took your ACT. The mean score was awith a standard deviation of.If you scored a, what is your z-score?
Use the formula for z-score:
Whereis your score,is the mean, andis the standard deviation.
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