Algebra II.4.B.11 - Normal Distributions – Exit Ticket

Last updated about 5 years ago

2 questions

Question 1

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Algebra II.4.B.11 - Normal Distributions – Exit Ticket

Last updated about 5 years ago

2 questions

Question 1

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming that this scaling still applies, use a table of standard normal curve areas to find the probability that a randomly selected SAT student scores a. More than 700. b. Between 440 and 560.

Question 2

In 2012, the mean SAT math score was 514, and the standard deviation was 117. For the purposes of this question, assume that the scores were normally distributed. Using a graphing calculator, and without using z-scores, find the probability (rounded to the nearest thousandth), and explain how the answer was determined that a randomly selected SAT math student in 2012 scored a. Between 400 and 480. b. Less than 350.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic B, Lesson 11. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.

SAT scores were originally scaled so that the scores for each section were
approximately normally distributed with a mean of 500 and a standard deviation
of 100. Assuming that this scaling still applies, use a table of standard normal
curve areas to find the probability that a randomly selected SAT student scores 

a. More than 700. 
b. Between 440 and 560.

Question 2

In 2012, the mean SAT math score was 514, and the standard deviation was 117. For the purposes of this question, assume that the scores were normally distributed. Using a graphing calculator, and without using z-scores, find the probability (rounded to the nearest thousandth), and explain how the answer was determined that a randomly selected SAT math student in 2012 scored a. Between 400 and 480. b. Less than 350.