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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)

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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).

This problem has been solved

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