CHAPTER 6 (31.03.2020)
We examined the ‘Codap’ homework of the groups. Is there any relationship between each other in the graphics made?
Homework: There are articles about two page statistics in BB. Read it.
1-
a) Name the coaster with the smallest max height:
b) What is the maximum height of this coaster?:
c) What else can you find out about the coaster with the smallest height?
The coaster name is High Speed Thrill Coaster.
The coaster with the smallest max height: 18
2-
a) Name the coaster with the tallest maximum height:
b) What is the maximum height of this coaster?
c) What else can you find out about the coaster with the tallest maximum height?
The coaster name is Superman The Escape.
The coaster with the tallest max height: 420
3-
How are both the table view and case card view helpful for understanding the structure of this data set?
Table view: Table view helps us to see and understand all the rollercoasters data. By this we mean, we can see all of the information about the roller coasters on one table.
Case card view: Case card view helps us to see and understand the information about the roller coasters one by one. We can reach information about the rollercoaster which we want without seeing other information about other roller coasters.
4-
Add two moveable lines to form a shaded region and move it so it covers a clump of the coasters you consider to be typical in height. (Use the ruler menu beside the graph window to add moveable values.)
a) What range of data does your shaded area cover?
- The area we shaded covers range from 50 to 90 of data.
b) How many coasters are in the shaded region (look under the ruler menu)?
- There are 16 coasters in the shaded region.
c) What percent of data are in your shaded region (look under the ruler menu)?
(Before moving on, you may want to remove the shaded region by going to the ruler menu and removing the movable values.)
- 52% of the data are in our shaded region.
5-
Explore adding a mean, median, and box plot to the graph (look under the ruler menu).
a) Describe the typical maximum height for these 31 older roller coasters.
b) Do these coasters all have similar heights?
c) Based on this sample of data, what can you say about the typical maximum height of all older roller coasters built before 1980 in the U.S.
a) In this question, the ‘typical’ meaning ‘average’ maximum height of roller coasters made until 1980 is 80.9.
b) I think it would be wrong to say absolutely yes to this. Although mostly around 80, there are also speed trains that go up to less than 20 ft and more than 140 ft.
c) We see in the graph that the maximum height of 31 roller coasters is 80.9 ft. On the chart, we can say that the general agglomeration is around 80 ft, however, it is found in roller coasters with a maximum height above and below 80 ft.
6-
On one of your graphs, drag and drop the variable Type into the middle of the graph. Notice how the case icons are recolored according to whether the coaster is wooden or steel. Do you notice anything interesting about the coasters with this new information added?
Data sets with more than 2 variables afford opportunities for learners to engage in exploratory data analysis, where more questions may arise based on patterns noticed. Technology tools afford different ways for displaying and interacting with data. For the next three questions, use CODAP to explore the data. Create different graphs and explore adding statistical measures to the graphs to investigate these questions. Write a brief response to each question that includes screenshots from the online tool.
When we look at the first graph (green), we see that the speed trains made of wood and steel are separated and there are spots from light to dark.
Depending on the maximum speed of the speed trains, where the colors go from light to dark, they are symbolized from minimum to maximum, from light to dark.
We can see in the graphic that the speed trains built until 1980 are mostly made of wooden material.
When we look at the second graphic given, the speed trains made of wood are shown in pink and the speed trains made of steel are shown in green.
When we press the Box Plot key in the chart given and look at the values;
Lower: 18 (minimum height)
Q1: 70
Median: 80
Q3: 102
Upper: 148 (maximum height)
7-
Are there differences or similarities between maximum height for older coasters that are made of different material (Wood or Steel)? Explain.
Modern steel roller coasters are very fast .The world’s fastest rollercoaster is Formula Rossa, located in Ferrari World in Abu Dhabi. Capable of reaching speeds of up to 149 mph, it uses a hydraulic launch system to take riders from standstill to 62 mph in just two seconds.The current record for the fastest wooden roller coaster in the world is held by Lightning Rod, a six-car ride in Dollywood, Tennessee. Lightning Rod can reach speeds of up to 73 mph.The construction of traditional wooden roller coasters might not allow for the same high speeds and height as steel roller coasters.
8-
Are there differences or similarities between the track lengths for older coasters that are made of different material (Wood or Steel)? explain.
Wooden roller coaster track length is shorter than steel roller coaster.The longest track in the world belongs to the steel roller coaster.In other words, the longest tracks made recently are steel roller coasters. Track length varies according to the material made.
9-
For older coasters, how is track length and maximum height generally related? Explain.
For older coasters, when we look at the relationship between its length and maximum height, we see that the height of the train whose length is the shortest is also the least. But we see that the train, whose length is the highest, does not have the highest height. We can’t say it’s directly proportional to the surface.
Looking at the train called Montezooma’s Revenge
Max height: 148 Length: 800
When we look at a train called Beast,
Max height:110 Length:7359
Generally,
Length range(ft): 1500-3300
Maximum height range:60-100
10-
If you were to investigate these same three questions with a sample of coasters built after 1980, what do you expect to find? Why?
As a type, we have two options. These are wood and steel. I first studied roller coasters made after 1980. I’ve divided these roller coasters according to their type. Then I studied wood-steel and Length.
When we examine the trains made of steel, we have more data. It’s usually the preferred type. It usually varies between 2000ft-4500ft. There is intensity in this range. We can’t say it’s directly proportional.
When we compare the maximum height with Wooden-Steel, we see that we have more data for Steel and here we see that the preferred type is Steel. The highest value for Wooden is close to 200(ft). The maximum value for Steel is over 400(ft). Steel is a useful and preferred type. The data range is between 75-200. There is intensity in this range.
This table is a summary of everything.
EDS206 BLOG 