In a sample of students, the average score on an assessment was 65. This individual obtained a z score of 0. What test score did he receive?
what score is 0 std from the mean of 65?
not sure what you mean. That is all the information for the question.
In that case, you need to review what the Z table means. Without that, you have no context.
A Z score of zero means that the value is 0 std away from the mean. In this case, it means that the score is the same as the mean, or 65.
If such a question is assigned, it can only indicate that the topic was covered. If you have no clue, it indicates that you were not paying attention.
To find the test score received by the individual, you can use the formula for calculating a z-score:
z = (x - μ) / σ
Where:
- z is the z-score
- x is the value of the data point
- μ is the population mean
- σ is the population standard deviation
In this case, you are given that the average score on the assessment was 65, and the individual obtained a z-score of 0.
So, you can rearrange the formula to solve for the test score (x):
x = z * σ + μ
Since the z-score is 0, you can simplify the equation further:
x = 0 * σ + 65
x = 65
Therefore, the individual received a test score of 65.