SAT scores were originally scales so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. What would be the z-score corresponding to a student who gets a section score of 680?

a. 6.8

b. 1.8

c. 0.59

d. 1.16

Question

Thaddeus Vaughn

Mathematics

26 February, 11:09

SAT scores were originally scales so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. What would be the z-score corresponding to a student who gets a section score of 680?

a. 6.8

b. 1.8

c. 0.59

d. 1.16

+4

Answers (1)

Know the Answer?

Kaiden Elliott · Answer 1

Step-by-step explanation:

Z-score is calculated by the following formula:

Z = (X-mu) / sigma

where

X = data value

mu = mean

sigma = standard deviation

Given:

mu = 500

sigma = 100

X = 680

Z-score = (X-mu) / sigma = (680-500) / 100 = 180/100 = 1.8

SAT scores were originally scales so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. What would be the z-score corresponding to a student who gets a section score of 680?a. 6.8b. 1.8c. 0.59d. 1.16

SAT scores were originally scales so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. What would be the z-score corresponding to a student who gets a section score of 680?

a. 6.8

b. 1.8

c. 0.59

d. 1.16