ou will use the following data set to answer all parts of the project. This data set is the number of students enrolled at CCA from 2015 to 2019 by semester Fall 2015 6933
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.
You will use the following data set to answer all parts of the project. This data set is the number of students enrolled at CCA from 2015 to 2019 by semester
|
Fall 2015 |
6933 |
|
Summer 2015 |
2495 |
|
Spring 2015 |
7518 |
|
Fall 2016 |
7386 |
|
Summer 2016 |
2301 |
|
Spring 2016 |
8056 |
|
Fall 2016 |
8025 |
|
Summer 2016 |
2235 |
|
Spring 2016 |
8725 |
|
Fall 2018 |
7982 |
|
Summer 2018 |
2140 |
|
Spring 2018 |
8436 |
|
Fall 2019 |
5859 |
|
Summer 2019 |
2089 |
|
Spring 2019 |
9048 |
1) Find the mean, median, and
2) Organize the data set on student enrollment by creating a frequency distribution and include the relative frequency. Group the data into seven logical equal intervals starting with 2,000 ≤ x < 10,000 and so on.
|
x |
f |
relative f |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3) Construct a histogram of the data set to fit this grid. Label accordingly.
4) Is this data set approximately normally distributed? Explain why or why not in at least 200 words.
5a) Compute the sample standard deviation for just the fall semesters (round to the nearest whole number).
5b) Compute the sample standard deviation for just the spring semesters (round to the nearest whole number).
5c) Compute the sample standard deviation for just the summer semesters (round to the nearest whole number).
5d) Check your sample standard deviation that you calculated by hand for all semesters. What was it (round to the nearest whole number)?
5e) In at least 200 words: what does the standard deviation actually measure? How do the different standard deviation values in parts (a) – (d) help you understand what this means in real life? Think specifically about the answer to 4d compared to just one semester. How are the standard deviations different? How do the numbers use to find the standard deviation differ?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 6 images
