Please explain the concept behind the normal distribution curve. How would you compare someone who scores 100 on the Stanford-Binet test to someone who scores 50th% on the SAT? Answer needs to be long

 

normal distribution curve is also referred to as the bell curve, and the distribution happens in many situations. For instance, the normal distribution curve is observed in the tests like the SAT and Stanford-Binet test. In both tests, the majority of the students will score average grade C. Few students will score B and D. And very few will score A or F. These marks resemble a bell hence the name bell curve. The curve is normally symmetrical, where half the data fall to the left side of the curve while the other half will fall to the right. The normal distribution curve is applicable in business and statistics. Also, some government bodies apply the normal distribution curve. These bodies include the FDA.

Properties of the bell curve

1. It comprises of mean, mode, and median where all are equal.
2. The distribution curve is symmetric at the center. The center is located at the central part of the x-axis. It is normal at point (0,0) in the cartesian plane.
3. The same number of values are at the left of the center, and exactly the same number of values are to the right.
4. The total area under the normal distribution curve is 1.

The mean, median, and mode are represented by the peak of the curve where;

Mean=Median=Mode, as shown in the curve.

Comparison between individual who scores 100 % on Stanford-Binet test to 50% on the SAT

Stanford-Binet test usually tests the cognitive strengths and weaknesses of children, adolescents, and adults, while the SAT test is focused on measuring the readiness of a high school student to join college, and it provides the college with one data point that can be applied to compare all students.

It doesn't mean that someone who scores 100% on the Stanford-Binet test is more intelligent than n individual who scores 50% on the SAT. The SAT is somehow difficult exams compared to the Stanford-Binet test. By use of a normal distribution curve, the student 50% score could be high compared to the 100%, depending on how other participants performed in the respective tests.

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