In 2015, the College Board SAT mathematics score of high school seniors, which follow an approximately normal distribution, had a mean of 511 and a standard deviation of 120² 1) What percentage of seniors who took the test in 2015 scored between 271 and 751? approximately 50% O approximately 68% O approximately 95% 2) What percentage of seniors who took the test in 2015 scored above 631? approximately 16% approximately 68% O approximately 84% 3) What percentage of seniors who took the test in 2015 scored between 271 and 511? Type here to search O approximately 68% approximately 16% O approximately 47.5% 4) Should a score of 770 be considered unusual? O Yes No Bl 36 LC Correct Approximately 95% of seniors scored within two standard deviations of the mean, namely between 511-2(120) 271 and 511 + 2(120) = 751 42% Earnings upcoming

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https://learn.zybooks.com/zybook/MAT-240-J5704-OL-TRAD-UG.23EW5/chapter/4/section/2?content_resource_id=5... A
ibrary> MAT 240: Applied Statistics home > 4.2: Normal distribution
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PARTICIPATION 4.2.2: Empirical rule.
ACTIVITY
In 2015, the College Board SAT mathematics score of high school seniors, which follow an approximately normal distribution, had
a mean of 511 and a standard deviation of 120²
1) What percentage of seniors who took the test in 2015 scored
between 271 and 751?
2) What percentage of seniors who took the test in 2015 scored above
631?
2
O approximately 50%
O approximately 68%
O approximately 95%
O approximately 16%
O approximately 68%
O approximately 84%
3) What percentage of seniors who took the test in 2015 scored
between 271 and 511?
4) Should a score of 770 be considered unusual?
O Yes
O No
O approximately 68%
O approximately 16%
O approximately 47.5%
W
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E
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F4
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R
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95
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Correct
N
Approximately 95% of seniors scored within two
standard deviations of the mean, namely between
5112(120) 271 and 511 + 2(120) = 751.
12%
U
F8
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8
8
F9
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Earnings upcoming
(
9
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EzyBooks catalog
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0
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Transcribed Image Text:n-Search Q https://learn.zybooks.com/zybook/MAT-240-J5704-OL-TRAD-UG.23EW5/chapter/4/section/2?content_resource_id=5... A ibrary> MAT 240: Applied Statistics home > 4.2: Normal distribution 1 1 B X Q IN Sign out Type here to search Z PARTICIPATION 4.2.2: Empirical rule. ACTIVITY In 2015, the College Board SAT mathematics score of high school seniors, which follow an approximately normal distribution, had a mean of 511 and a standard deviation of 120² 1) What percentage of seniors who took the test in 2015 scored between 271 and 751? 2) What percentage of seniors who took the test in 2015 scored above 631? 2 O approximately 50% O approximately 68% O approximately 95% O approximately 16% O approximately 68% O approximately 84% 3) What percentage of seniors who took the test in 2015 scored between 271 and 511? 4) Should a score of 770 be considered unusual? O Yes O No O approximately 68% O approximately 16% O approximately 47.5% W 3 + A S D E E 4 X C F4 $ R F 1 .F5 95 % V T G F6 6 B Y H & 7 Correct N Approximately 95% of seniors scored within two standard deviations of the mean, namely between 5112(120) 271 and 511 + 2(120) = 751. 12% U F8 * 8 8 F9 1 M Earnings upcoming ( 9 ? EzyBooks catalog F10 O < *- ) 0 F11 P JE + F12 PrtSc [ + ?
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