Assignment 2

Part I:

Range: Range just refers to the greatest number in a group of observations minus the smallest number in that same group. It shows the disperses of the set of observations.

Mean: Mean refers to all the numbers in a group of observations added up divided by the total number of observations made. This is showing what number the observed group is more tending to out of all the numbers.

Median: Median is the number that is in the exact middle of a group of numerically ordered observations. Usually works best with a group that has an even number of observations, if there is an odd number of numbers then you take the difference between the even two.

Mode: Mode is the number that appears the most out of all the numbers in the group of observations.

Kurtosis: Kurtosis is shown on the graphed observations as steepness or the lack there of. This steepness is referring to the distribution of numbers away from the mean. There are two types flat or peaked. Peaked would be a lesser number distributed to that side and flat would be a greater number.

Skewness: Skewness is defined as how much the shape of the observations graphed is shifted from the one side of the mean of the group. It can either be a negative or positive skewness depending on if more observations fall below or above the mean.

Standard Deviation: This can be defined as how close or far away an observation is to the mean or the most common observation. It shows how far an observation "deviates" from the normal.

In past studies the highest score for standardized tests have always been higher at Eau Claire Memorial than Eau Claire North. This has led to a questioning in the staff at North. I will be looking to see if the top score is an accurate betrayal of the teachings at North. The test score max is 200 for this test and the highest score at North is 194 and at Memorial 198. I will be looking at more than the highest score, and instead the range, mean, median, mode, kurtosis, skewness, and standard deviation to tell the differences between the success of the students at the differing schools.

Eau Claire North:
Range= 83
Mean=160.92
Median=164.5
Mode=170
Kurtosis= -.55723
Skewness= -.5791

Standard Deviation:24.48

Eau Claire Memorial:
Range= 91
Mean=158.54
Median=159.5
Mode=120
Kurtosis= -1.17435
Skewness= -.1848

Standard Deviation: 27.58

These are the results I was able to compute of the two high schools. It turns out that in almost all categories North comes out on top of Memorial. Norths median and mean scores are higher than Memorials, but Memorials skewness is more negative than north which is better for scores. I don't think North teachers should be concerned about the performance of their students because over all they are testing about equal and even a little higher than Memorial based on the mean score. Mean score is in my opinion the best way to represent this data because it is the most fair way of averaging the students scores.

Part II:

Geographic or Spatial Mean Center: In my own words spatial mean center is where the push and pull of the land area (or latitude and longitude) ends up. It is the exact center of the area of a given place.

Weighted Mean Center: Weighted Mean takes in account other factors. You can do the weighted mean of a group of observations and it will be in the middle of where the greatest number of observations are pulling it.

This map is of the geographic mean (so unweighted) of the state of Wisconsin. This is where spatial the mean or center of the state is. It also shows two weighted means. One is the mean center of the population of the state in 2000 and the other is of the mean center of the population in 2015. The weighted mean centers make sense because it is relatively low in the state because of the pull from Madison and Milwaukee, but even though there is more land north of the center it is far less populated. You can tell by the graph that there was a shift from 2000 to 2015 in population. It has shifted southwest of where it was in 2000. This shows that it is moving in the direction of Dane County which is were Madison is which makes a lot of sense. Madison is the second biggest city in Wisconsin, and it is a very hip place for young people to move especially with it being a big college town.