If we have a dataset with mean 9 and standard deviation 6, then what is the z-score for the data point 2? (Give your answer to 1 dp)
Question
If we have a dataset with mean 9 and standard deviation 6, then what is the z-score for the data point 2? (Give your answer to 1 dp)
Solution
The z-score is a measure of how many standard deviations an element is from the mean. It can be calculated using the following formula:
Z = (X - μ) / σ
where:
- Z is the z-score,
- X is the value of the element,
- μ is the mean of the data set, and
- σ is the standard deviation of the data set.
Let's plug the values into the formula:
Z = (2 - 9) / 6 = -7 / 6 = -1.17
So, the z-score for the data point 2 is -1.2 (rounded to 1 decimal place).
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