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Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The College Board reported that the mean Math Level 2 SAT subject test score was 686 with a standard deviation of 96. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 494.
A
97.5%
B
95%
C
2.5%
D
5%
Explanation: 

Detailed explanation-1: -The correct answer is 16%. The College Board reported that in 2014, the mean Math Level 2 SAT subject test score was 686 with a standard deviation of 96. Assuming scores follow a bell-shaped distribution; use the empirical rule to find the percent of students who scored less than 494.

Detailed explanation-2: -The empirical rule (also called the “68-95-99.7 rule") is a guideline for how data is distributed in a normal distribution. The rule states that (approximately):-68% of the data points will fall within one standard deviation of the mean.-95% of the data points will fall within two standard deviations of the mean.

Detailed explanation-3: -A normal distribution has some interesting properties: it has a bell shape, the mean and median are equal, and 68% of the data falls within 1 standard deviation.

Detailed explanation-4: -The Empirical Rule. For data with a roughly bell-shaped (mound-shaped) distribution, About 68% of the data is within 1 standard deviation of the mean. About 95% of the data is within 2 standard deviations of the mean.

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