Sat scores the means over several years of the math and...

SAT Scores The means over several years of the math and reading and writing SAT scores are given. Math Reading and Writing 529 427 520 469 517 469 524 432 522 419 520 525 525 485 525 534 Send data to Excel Part: 0 / 3 Part 1 of 3 Find the range, variance, and standard deviation of math scores. Round your answers to one decimal place as needed. Range = Variance = Standard deviation =

2. The SAT college admissions test consists of three sections: writing, mathematics and critical reading. Each is scored between 200 and 800 points, and the scores are normally distributed. For the writing section the mean is μ = 484 and standard deviation σ = 115; for mathematics, μ = 511 and σ = 120; and for reading, μ = 495 and σ = 116. An overall score between 600 and 2400, which is the sum of these scores, is also reported. For this problem we will assume that the scores on the three sections are independent. (a) Find the distribution of the overall score, and the overall score giving the 25th percentile of all scores. (b) Find the distribution for the average of the writing and reading sections of the test. What is the probability that this will be over 600? (c) Find the probability that the score on the mathematics section of the test will exceed the average of the writing and reading sections.

Madhur L.

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