The Final exam average for an Biology class is normally distributed with a mean of 58% and a standard deviation of 18%. Suppose that 2051 students took the Final exam last Fall. How many students would you expect to score between a 80% and 100% on the final exam?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Final exam average for an Biology class is
Round to the Whole number Blank 1. Calculate the answer by read surrounding text.
From the provided information,
Population size (N) = 2051 students
Mean (µ) = 58%
Standard deviation (σ) = 80%
Let X be a random variable which represents the final exam score for biology class.
X ~N (58, 80)
Step by step
Solved in 3 steps with 2 images
