Find the mean and the standard deviation for these ages. b) Draw the boxplot and explain what it tells you about the grades of these students. You will need to upload a picture C this answer on Canvas.
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.
![### Math 13 Class Grades Analysis
#### Problem 1: Student Grades
Listed below are the grades of students in this Math 13 class:
70, 75, 46, 90, 96, 89, 94, 59, 71, 82, 74, 51, 84, 96, 67, 83, 67, 83, 98, 97, 79, 99, 57, 52, 85, 88, 82, 98
**a) Find the mean and the standard deviation for these grades.**
- Mean (\(\bar{x}\)) =
- Standard Deviation (s) =
**b) Draw the boxplot and explain what it tells you about the grades of these students.**
You will need to upload a picture of this answer on Canvas.
**c) Find the grade at the 72nd percentile, \(P_{72}\).**
**d) Create a frequency table with 4 categories.**
**e) Based on this information, would it be unusual for a student to have a grade of 90? Prove your answer.**
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#### Problem 2: Class Presentation Selection
A class has 25 students. Each day, three students are chosen to present their work at the board.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3243f7f-4459-49a3-b8f1-08c432ad7adc%2F1e427e8e-7423-4372-add5-b9bd11357e1f%2Fuq2vjn9.jpeg&w=3840&q=75)
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