The average score of a statistics class was 71 with a standard deviation of 10.
What is the z score of a student with a grade of 68?
What is the z score of a student with a grade of 80?
To find the z score, we use the formula:
z = (x - μ) / σ
where x is the score, μ is the mean, and σ is the standard deviation.
For a student with a grade of 68:
z = (68 - 71) / 10
z = -0.3
The z score is -0.3.
For a student with a grade of 80:
z = (80 - 71) / 10
z = 0.9
The z score is 0.9.
To calculate the z-scores, you can use the following formula:
z = (x - μ) / σ
where:
- z is the z-score
- x is the individual data point (grade)
- μ is the mean of the data (average score)
- σ is the standard deviation
Given the information you provided:
- The average score (μ) is 71
- The standard deviation (σ) is 10
1. To find the z score of a student with a grade of 68:
z = (68 - 71) / 10
z = -0.3
So, the z score for a student with a grade of 68 is -0.3.
2. To find the z score of a student with a grade of 80:
z = (80 - 71) / 10
z = 0.9
So, the z score for a student with a grade of 80 is 0.9.