The distribution of SAT verbal scores of University X's incoming freshman class (N=950) has a mean of 475. What is the value for the sum of deviation scores from the mean of this distribution?
The sum of deviation scores from any mean is always zero. Since the mean acts as a fulcrum (a balance point), the deviation of scores above the mean (+) always equal the deviation of scores below the mean (-).
I hope this helps.
To find the sum of deviation scores from the mean of a distribution, you need to follow these steps:
1. Calculate the deviation score for each individual data point by subtracting the mean from each data point. The deviation score is simply the difference between the data point and the mean.
For example, if a student's SAT verbal score is 500 and the mean is 475, the deviation score would be 500 - 475 = 25.
2. Sum up all the deviation scores to find the total sum of deviation scores.
For example, if we have 950 students, we would calculate the sum of all the individual deviation scores.
Now, let's calculate the sum of deviation scores for University X's incoming freshman class:
1. The mean of SAT verbal scores is given as 475.
2. We assume we have the complete distribution of SAT verbal scores for all 950 students.
3. Calculate the deviation score for each student by subtracting 475 (the mean) from their individual SAT verbal score.
4. Sum up all the deviation scores to find the total sum of deviation scores.
Since we don't have access to the complete distribution of SAT verbal scores, we cannot provide an exact value for the sum of deviation scores in this case.