Exam results for 100 students are given below. For the given exam grades, briefly describe the shape and variation of the distribution. median = 84, mean = 72, low score = 63, high score = 87 The distribution is and has variation.
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.
![**Exam Results Analysis for 100 Students**
In this exercise, we analyze the exam results for 100 students and describe the distribution's shape and variation.
**Statistics Provided:**
- **Median**: 84
- **Mean**: 72
- **Low Score**: 63
- **High Score**: 87
**Task:**
Describe the shape and variation of the distribution. Use the dropdown menus to select the appropriate terms:
- The distribution is [Dropdown: Select shape].
- The distribution has [Dropdown: Select variation].
To complete the exercise, click to select your answer(s) and then click "Check Answer."
**Notes:**
- Consider if the mean being lower than the median suggests skewness.
- Reflect on whether the scores show a wide or narrow range of results for variation.
**Instructions:**
Select the correct shape and variation based on the provided statistics and click "Check Answer."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1988617-6d7f-4db0-a385-e01656da2194%2Ff2f20f12-d121-499c-88e9-e2163ee05c19%2F48x7fe9_processed.jpeg&w=3840&q=75)
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