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A set of data has a mean of 127 and a standard deviation of 15. What is the z-score of x = 118?

User Setop
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1 Answer

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The z-score is a measure of how statistically related a value is from the mean. It is a tool to standardize scores from different sets of data which is why it is also known as "Standard Score". It can be calculated using the formula:

z-score = (any value in the data - mean) ÷ standard deviation

Given:

any value in the data = 118
standard deviation = 15
mean = 127

Solution:

z-score = (118 - 127) ÷ 15

z-score = -0.6
User Madcyree
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