We appreciate your visit to In the class of 2019 more than 1 6 million students took the SAT The distribution of scores on the math section out of 800. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Around 34.07% of students earned scores between 500 and 600 on the SAT math test in the class of 2019.
The desired range = 500 to 600
The mean of the distribution = 528
Standard deviation = 117
Calculating the standardized scores -
[tex]z = (x - u) / a[/tex]
For the lower bound of 500:
z1 = (500 - 528) / 117
= -28/117
= -0.2393
For the upper bound of 600:
z2 = (600 - 528) / 117
= 72/117
= 0.6153
Using a standard normal distribution table to determine the cumulative probabilities associated with z-scores.
[tex]P(500 < X < 600) = P(z1 < Z < z2)[/tex]
Calculating -
[tex]P(z1 < Z < z2) = P(-0.2393 < Z < 0.6154)[/tex]
As per the table,
P(-0.2393 ≤ Z ≤ 0.6154) is around 0.3407.
Read more about scores on:
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