If X is a normal variate with mean 12 and standard deviation 4, then the Z-score of data point 24, is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 3
The Z-score tells how many standard deviations a value lies from the mean:
\( \displaystyle Z=\frac{X-\mu}{\sigma} \)
\( \displaystyle =\frac{24-12}{4} \)
\( \displaystyle =3 \)