The grades on a geometry midterm at Santa Rita are roughly symmetric with u = 82 and o = 4.0.
Emily scored 92 on the exam.
Find the z-score for Emily's exam grade. Round to two decimal places.​

Respuesta :

Answer:

z-score for Emily's exam grade is 2.50

Step-by-step explanation:

Z score helps to determine position of any  observed data with respect to mean of data, when it is measured in terms of standard deviation.

Formula for  z score is given by

z = (data from sample - mean)/ standard deviation

Given in the problem

mean = 82

standard deviation = 4.0

sample score = 92

Z = (92-82)/4 = 10/4

Z = 2.5

z-score for Emily's exam grade is 2.50

The z-score of Emily's exam grade is 2.50.

Calculation of the z-score:

The z-score means the score that applied for measuring the position of the data related to the mean

Since the mean is 82, the standard deviation is 4.0 and the sample size is 92

Now the z-score should be

[tex]Z = (92-82)\div 4 = 10\div 4[/tex]

Z = 2.5

Hence, the z-score for Emily's exam grade is 2.50

Learn more about sample here: https://brainly.com/question/9222927