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If the data set has a mean of 30 and a standard deviation of 10, what is the z-s
If the data set has a mean of 30 and a standard deviation of 10, what is the z-score of the value 40?
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If the data set has a mean of 30 and a standard deviation of 10, what is the z-score of the value 40?
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Z-score = (X - Mean) / Standard Deviation = (40 - 30) / 10 = 1
Questions & Step-by-step Solutions
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Q
Q: If the data set has a mean of 30 and a standard deviation of 10, what is the z-score of the value 40?
Solution:
Z-score = (X - Mean) / Standard Deviation = (40 - 30) / 10 = 1
Steps: 8
Show Steps
Step 1: Identify the mean of the data set, which is given as 30.
Step 2: Identify the standard deviation of the data set, which is given as 10.
Step 3: Identify the value for which you want to find the z-score, which is 40.
Step 4: Use the z-score formula: Z-score = (X - Mean) / Standard Deviation.
Step 5: Substitute the values into the formula: Z-score = (40 - 30) / 10.
Step 6: Calculate the difference: 40 - 30 = 10.
Step 7: Divide the difference by the standard deviation: 10 / 10 = 1.
Step 8: The z-score of the value 40 is 1.
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