Asked by Cassie Trucchio on Apr 24, 2024
Verified
With a raw score of 85,a group mean of 75,and a standard deviation of 5,what is the z score?
A) -2.0
B) 2.5
C) 2.0
D) -2.5
Z Score
A statistical measure that describes a value's relationship to the mean of a group of values, expressed in units of standard deviation.
Standard Deviation
A measure of the amount of variation or dispersion in a set of values, indicating how much individual data points deviate from the mean.
Mean
The average of a set of numbers calculated by adding them together and dividing by the count of numbers.
- Comprehend the principle and application of z scores within statistical evaluation.
- Compute original scores using z scores, standard deviations, and average values.
Verified Answer
TC
thabo chalatse4 days ago
Final Answer :
C
Explanation :
To calculate the z-score, we use the formula:
z = (raw score - group mean) / standard deviation
Substituting the values given:
z = (85 - 75) / 5
z = 2
Therefore, the z-score is 2, which corresponds to option C).
z = (raw score - group mean) / standard deviation
Substituting the values given:
z = (85 - 75) / 5
z = 2
Therefore, the z-score is 2, which corresponds to option C).
Learning Objectives
- Comprehend the principle and application of z scores within statistical evaluation.
- Compute original scores using z scores, standard deviations, and average values.