Question

A middle school receives a z-score overall rating of 1.56. The faculty is told that the raw score for their institution was a 66 and the variance for this rating scale is 25. Do you have enough information to calculate the overall average rating score? If not, what additional information do you need? If so, calculate the middle school's score.

Answer 1

Solution:

Given:

z score for  raw score for overall rating of middle school is 1.56

that is: z = 1.56

Raw score = x = 66

Variance =

Thus standard deviation =

thus we use following formula to find the overall average rating score:

To find the overall average rating score , that is , we have  enough information.

Thus substituting given numbers:

Thus  the overall average rating score for the middle school's is