Question

The normal distribution with mean ??=500.9 and standard deviation ??=10.6 is a good description of the total score on the medical college admission test (mcat). this is a continuous probability model for the score of a randomly chosen student. call the score of a randomly chosen student ?? for short.

Answer 1

The normal distribution with mean 500.9 and standard deviation 10.6 describes the scores on the MCAT exam. It is a continuous probability model that shows the distribution of scores.

Step-by-step explanation:

The normal distribution is a continuous probability model that describes the total score on the medical college admission test (MCAT). It has a mean of 500.9 and a standard deviation of 10.6. The scores on the MCAT are normally distributed, which means that the majority of scores are close to the mean, and fewer scores are farther away from the mean.

To understand the concept of a normal distribution, let's take an example of another exam. Suppose the scores on a college entrance exam are normally distributed with a mean of 52 and a standard deviation of 11. This means that most students score around 52, and fewer students score significantly higher or lower than 52.

Z-scores are used to interpret scores in relation to the mean and standard deviation of a normal distribution. A z-score represents the number of standard deviations a particular score is above or below the mean. It can be calculated using the formula: z = (x - µ) / σ, where x is the score, µ is the mean, and σ is the standard deviation. By calculating the z-score of an SAT score of 720, we can determine how it compares to the mean and standard deviation of the distribution of SAT scores in the math section.