To find the z-score for Ishaan's exam grade, you can use the formula:
\[ Z = \frac{(X - \mu)}{\sigma} \]
where:
- \( X \) is the individual score (Ishaan's score),
- \( \mu \) is the mean of the distribution,
- \( \sigma \) is the standard deviation of the distribution.
In this case:
- \( X = 70 \),
- \( \mu = 67 \),
- \( \sigma = 2.5 \).
Now, substitute these values into the formula:
\[ Z = \frac{(70 - 67)}{2.5} \]
\[ Z = \frac{3}{2.5} \]
\[ Z = 1.20 \]
Therefore, the z-score for Ishaan's exam grade is \( 1.20 \) (rounded to two decimal places).
