In this task, we need to find Rolly's actual score based on his standard score (z-score) which is provided as 2.4. We know the following parameters from the examination results of GEd 102:
The standard score, or z-score, measures how many standard deviations an element is from the mean of the distribution. The formula to convert a z-score to an actual score (X) is given by:
[ X = \mu + z \cdot \sigma ]
Where:
Now we can substitute the provided values into the formula:
[ X = 52 + (2.4 \cdot 10) ]
Calculating the multiplication first:
[ 2.4 \cdot 10 = 24 ]
Now, substituting back into the formula:
[ X = 52 + 24 ]
Calculating the sum:
[ X = 76 ]
Rolly’s actual score is 76. However, if we look at the provided options:
None of the options provided match the calculated actual score of 76. It seems there may have been some misunderstanding or an error in the choices provided for this question.
The score of 76 indicates that Rolly performed significantly above average in the examination. His z-score of 2.4 denotes he is well within the higher echelon of performance in relation to his peers in the same examination.