Calculate the z-score for a data point of 10 with a mean of 5 and a standard deviation of 2.

2.0

2.6

-2.0

2.5

1 answer

To calculate the z-score for a data point, you can use the formula:

\[ z = \frac{(X - \mu)}{\sigma} \]

where:

  • \( X \) is the data point (in this case, 10),
  • \( \mu \) is the mean (in this case, 5),
  • \( \sigma \) is the standard deviation (in this case, 2).

Now, plug in the values:

\[ z = \frac{(10 - 5)}{2} = \frac{5}{2} = 2.5 \]

Thus, the z-score is 2.5.

So the correct answer is 2.5.