Answer:
Step-by-step explanation:
A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:
where x is the value, μ is the mean, and σ is the standard deviation.
For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.
- x= 346
- μ= 350
- σ= 40
Substitute the values into the formula.
Solve the numerator.
Divide.
The z score is <u>-0.1</u>, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.