1. Does More Rooms Equal More Clutter?
A Survey Project by

2. Section 1: Survey Questions
Characteristic: Do you have attached or detached earlobes?
Categorical: How much clutter is in your home? (None, A Bit, Some, Plenty, A Lot, Completely)
Quantitative/Numerical: How many rooms, including closest, garages, and bathrooms, do you have in your house?

3. Section 1: Data Collected
Survey participants were given a sheet of paper which listed the questions. The participants would then fill out the questions and return them, their only ID being their class name and the number survey they got. (W for Wike, K for King.)

4. Section 2: Quantitative Data Set (Statistics)
Measures of Center:
Mean: 13.16
Median: 12.5
Mode: 10
Mean Absolute Deviation (MAD): 3.72
Standard Deviation: 4.67
Ranges:
Range: 20
Interquartile Range (IQR): 6
Five Number Summary:
Minimum: 5
Maximum: 25
Quartile 1: 10
Quartile 3: 16
Median: 12.5

5. How Each Statistic was Obtained
Mean: 395/30 = 13.16
Range: 25-5=20
IQR: 16-10=6

6. Number
Subtracted from Mean
Squared 25
11.84 22
8.84 5
8.16 7
6.16 8
5.16 9
4.16 10
3.16
9.9856 12
1.16
1.3456 13
0.16
0.0256 14
0.84
0.7056 15
1.84
3.3856 16
2.84
8.0656 17
3.84 19
5.84 21
7.84
MAD:
Sum of Column 2: 111.6/30 = 3.72
Standard Deviation:
√ /29 =4.66

7. Graph 1 - Histogram Describing the Graph with SOCS: Shape: Unimodal
How Many Rooms Are in GT6/7’s Homes?
Describing the Graph with SOCS:
Shape: Unimodal
Outliers*: None! (but 25 comes awfully close)
Center: Median 12.5
Spread: IQR 6
Y-Axis: Frequency of Students
X-Axis: Number of Rooms
To find an outlier, our IQR(6) was multiplied by 1.5 (and got 9) and then was added/subtracted to our Q1(10) and Q3(16) and came out with 1 and 25, respectively (10-9=1 and 16+9=25). While 25 is a number, to be an outlier it’d have to be higher than 25 so we luckily come out with no outliers.

8. Justifications
Center: Since the data is unimodal and even is begging to cross into skewed territory, my mean risks being affected by the large grouping of numbers. As such, medians would be the safest bet.
Shape: Again, because of how close it is to being skewed, the MAD or Standard Deviation may be affected due to how heavily they’re clumped together, over counting them while undercounting the extremes at the end of the histogram. To protect our self from this, we use the IQR instead.

9. Graph 2 – Categorical Data Set
Amount of Clutter
Frequency
Relative Frequency
None 5
16.7%
A Bit 11
36.7%
Some 7
23.3%
Plenty 6
20%
A Lot 1
3.3%
Completely 0%

10. Biases
I collected my data to avoid bias in two ways. Firstly, I handed then a sheet of paper with the questions instead of asking then so they didn’t feel intimidated and pressured to answer quickly (it takes time to count how many rooms you have). I also divided my sheets in half so I didn’t over represent one grade over the other.
However, biases may still have shown up. You can’t look at your ear, so you can only feel and get a word for your friend on what your earlobe looks like which may not always be reliable. Also, I only surveyed two classes out of a possible 5 or 6, which completely underrepresents the other classes.

11. Section 3 – Displays Attached Ears Minimum 8 Maximum 25 Q1 10.5 Q3 16
Median 13
Detached Ears
Minimum 5
Maximum 22 Q1
9.5 Q3
17.5
Median 14

12. Centers and Spread Attached Ears: Detached Ears: Centers: Mean: 13.38
Median: 13
Mode: 10
Spreads:
Range: 17
IQR: 5.5
Detached Ears:
Centers:
Mean: 13.76
Median: 14
Mode: 9, 10, 12, 15
Spreads:
Range: 17
IQR: 8

13. How to Obstain The Statistic
*Attached or Detached
Range:8-25 or 22-5 = 17 (both)
IQR: = 5.5 or = 8
Means: 174/13 = or 234/17 = 13.76

14. Comparisons
While the Box and Whisker plots say that the two groups could be as far away from each other as they possibly could be, their data sets tell a different story. There’s only three items separating their max and min’s, and they seem like an ‘outlier’ since the most of the rest have less than one separating them. (Section 3 – Displays)
While the histogram was very unimodal and nearly passed into skewed territory, the box plots seem the polar ends of that. Detached seemed very symmetrical from a distance, while Attached felt skewed. It was as if when they merge together they cancel out and make neither a symmetrical or skewed graph, just something weird in between. (Section 3 – Displays and Graph 1 – Histogram)

15. Section 4 - Displays

16. 5 (5/30 or 16.6%) 3 (3/30 or 10%) 4 (4/30 or 13.33%) 0 (0/30 or 0%)
How to Find Statistic:
1. Large Number/30 (fraction)
2. x/30 , then move decimal over twice and add percent sign
X being any large number on the chart
Distributions
None
A Bit
Some
Plenty
A lot
Attached Earlobes
5 (5/30 or 16.6%)
3 (3/30 or 10%)
4 (4/30 or 13.33%)
0 (0/30 or 0%)
15 (15/30 or 50%)
Detached Earlobes
0 (0/30 or 0%)
8 (8/30 or 26.66%)
1 (1/30 or 3.33%)
5 (5/ %)
11 (11/30 or 36.66%)
7 (7/ %)
6(6/30 or 20%)
1(1/30 or 3.33%)
30 (30/30 or 100%)

17. Comparisons
1. Each Characteristic seemed to hog the category for a bit, then became fairly even before starting to hog the category once again. (Displays) 2. While Attached had significantly less people, they had a lot of people in A Bit and even had half the total votes when compared to Detached ears. (Distributions)

18. Section 5
My survey supports my original question very vaguely. (Does More Rooms = More Clutter). The only person with A Lot as their amount of clutter had an above average room count (Avg , A Lot had 16). Additionally, a certain amount of Nones had below average (7, 8) but this can’t mean much when the majority had above average (15, 16, 15).
I did not properly address people who may live in apartments (since it’s a general rule to keep your space clean) or live alone (GT kids live with families!), since they’d have different policies on how to live. To better answer the question, I’d need to survey a much larger audience of all ages and household types. I’d also need a better way to compare the two groups, such as making a ratio of Clutter:Room, if I could even find a way to do that.
To continue, I would probably have to rephrase my questions since they may have added a bit of confusion (how is someone supposed to know what “A Bit” of clutter looks like?) and get a better way to divide them since, as I previously mentioned, it’s not that easy to find out how your earlobes look unless I constantly have a mirror handy. I would also have to expand out and ask more people, since children aren’t always a good representative when I basically have the world as my Population. To wrap up, a small detail I’d need to fix would be to enlarge the little cards I passed out because they are somewhat hard to read and I don’t need grandpas to suffer in the name of my survey. Additionally, if I wanted to find just the amount of clutter in a children’s home, I’d need to ask outside of the GT Program and into elementary and high schools.