Your friend, Jaye, who is also enrolled in a statistics class, just got their grade on the first exam. They tell you they received a score of 67. Jaye also mentions that the mean was 73 and the standard deviation was 8 points. If Jaye’s class is considered a population, what is Jaye’s z-score on the exam? What does this z-score tell Jaye about the relative position of their score in the class? In other words, where did Jaye's score fall in the distribution of all scores on the first exam in the class? (Be specific and provide information about the mean and standard deviation in your response.) Jaye wants to get a higher z-score on the next statistics exam. What advice would you give Jaye on how to improve their score? Please provide at least two strategies.
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.
- Your friend, Jaye, who is also enrolled in a statistics class, just got their grade on the first exam. They tell you they received a score of 67. Jaye also mentions that the
mean was 73 and the standard deviation was 8 points. If Jaye’s class is considered a population, what is Jaye’s z-score on the exam? - What does this z-score tell Jaye about the relative position of their score in the class? In other words, where did Jaye's score fall in the distribution of all scores on the first exam in the class? (Be specific and provide information about the mean and standard deviation in your response.)
- Jaye wants to get a higher z-score on the next statistics exam. What advice would you give Jaye on how to improve their score? Please provide at least two strategies.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
