By Nevaeh Brady 3rd Period Does having folded or not folded eyelids affect if they prefer TV, movies, or books? By Nevaeh Brady 3rd Period

Section 1: Questions Quantitative- How many windows are in a GT 8th grader’s living room? Categorical- Do you prefer TV, Movies, or Books? Characteristic- Are your eyelids folded or not folded?

Data Sample: 8th grade GT

Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Folded or not N Y Movie, TV, or Books M B T # of window in living room 32

Section 2: Question: How many windows are in a GT 8th grader’s living room?

Measures of Center Mean-6.17 Median-4.5 Mode-4

Number of Windows in Living Room MAD=3.29 Number of Windows in Living Room X-Mean 4 2.17 5 1.17 6 0.17 8 1.83 1 5.17 3 3.17 2 4.17 9 2.83 11 4.83 32 25.83 Mean 6.17 Mean of X-Mean 3.29 MAD

Number of Windows in Living Room Standard Deviation=5.58 Number of Windows in Living Room X-Mean (X-Mean)^2 4 -2.17 4.69 5 -1.17 1.36 6 -0.17 0.03 8 1.83 3.36 1 -5.17 26.69 3 -3.17 10.03 2 -4.17 17.36 9 2.83 8.03 11 4.83 23.36 32 25.83 667.36 Mean 6.17 902.17 X/N-1 31.11 Square Root 5.58 Standard Deviation

Ranges Range-31 IQR-4.25

5 Number Summary Median-4.5 Minimum-1 Maximum-32 Quartile 1-3.75

The Number of Windows in a GT 8th Grader's Living Room Histogram The Number of Windows in a GT 8th Grader's Living Room e 18 l 17 p 16 o 15 14   P 13 12 f 11 10 9 r 8 7 b 6 m 5 u 4 N 3 2 1 1-4 5-9 10-14 15-19 20-24 25-29 30-34 Number of Windows in Living room

SOCS Shape Outlier(s)=32 Center My histogram is skewed right because there are outliers on the right side of the histogram Shape (Q 1)3.75-1.5(4.25)=-2.62 (Q 3)8+1.5(4.25)=14.37 Outlier(s)=32 Mean-6.17 Median-4.5 Mode-4 Center

SOCS (Continued) Spread Range-31 IQR-4.25 MAD-3.29 Standard Deviation-5.58 Spread

Best to Represent Center Spread To best represent this histogram, you use the median because it is affected by the outlier(s). Center To best represent this histogram, you use the IQR because it is also affected by the outlier(s). Spread

Question: Do you prefer movies, TV, or books?

TV- 40% Movies- 20% Books-40%

Frequency Table Preferred Frequency Movies 6 Books 12 TV

Relative Frequency Table Preferred Frequency Relative Frequency Movies 6 20% Books 12 40% TV

Biases I chose to collect my data in a stratified sample, which is as follows: GT>8th Grade>5 random from each of my core classes and my enrichment class. This is unbiased because it gives everyone an equal chance of being chosen. It also gives varied input because not every one is in the Integrated 2 math class. A few biases have occurred during this process. One of the biases being I do not have every 8th grade GT student in all of my classes. This caused bias because I did no give EVERY one a totally equal chance of being chosen, even though I was very careful through this process.

Section 3: Box Plots N o t F l d e 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 u m b r f W i n w s

5 Number Summary Not Folded Folded Minimum- 1 Minimum- 1 Maximum- 32 Maximum- 11 Quartile 1- 4 Quartile 1- 3.5 Quartile 3- 8 Quartile 3- 6.5 Median- 5 Median- 4

Measures of Center Not Folded Folded Mean- 6.65 Mean- 4.5 Median- 5 Median- 4 Mode- 8 Mode- 4

Spreads Not Folded Folded Range- 31 Range- 10 IQR- 4 IQR- 3

Observations 1: I noticed that both of the ranges are very different in the boxplots. The ranges show that the data is skewed so there are outliers. Pt. 2: This observation is supported by observation 2 because observation 2 shows the data is skewed. 2: I also noticed the medians between the two boxplots are also very different. The medians are different because the outliers between them are different. Pt. 2: This observation is supported by observation 1 because observation 1 shows the data is skewed.

Section 4: Categorical Comparison Frequency

Two Way Table Movies TV Books Total Folded 2 (6.7%) 3 (10%) 8 (26.7%) Not Folded 4 (13.3%) 9 (30%) 22 (73.3%) 6 (20%) 12 (40%) 30 (100%)

Observations 1: I noticed that not folded had higher data points than folded because there was more people who had not folded eyelids. Pt. 2: This is supported by observation 2 because bimodal means there are two peaks that are higher than the rest. 2: I also noticed the graph was bimodal because folded had less data which gave not folded higher peaks. Pt. 2: This is shown by observation 1 because not folded did have higher peaks than folded.

Section 5: Final Analysis Does having folded or not folded eyelids affect if people prefer TV, movies, or books? This survey answers this question because more people with not folded eyelids prefer books and TV rather than people with folded people. This survey did not adequately address that more people do not have folded eyelids so it is not very representative of the population. The next step I would recommend to take is to get an even amount of people with and without folded eyelids.