This project will review the average number of reality TV the average person watches every week. Data was collected by 4 different people by asking 6 acquaintances of various ages the following...

This project will review the average number of reality TV the average person watches every week. Data was collected by 4 different people by asking 6 acquaintances of various ages the following question:
“On average, how many reality TV shows do you watch every week?”
36 numbers were collected and analyzed using various forms of statistics- a frequency distribution table, histogram, standard deviation, the Empirical Rule to form a bell-shape, 95% Confidence Interval for population, a hypothesis detailing what I believe to be the average number of shows watched a week, a 95% Confidence Interval for proportions, P-Value method, traditional method, and finally, the results of the study.

Question:
“On average, how many reality TV shows do you watch every week?”


List of Data (in order according to collection)


2,4,10,16,18,24,1,2,2,6,3,1,1,11,5,5,3,9,1,4,5,5,3,9,1,3,3,3,4,5,2,7,1,0,3,4

List of Data in Order

0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,6,7,9,9,10,11,16,18,24

Class Limits	Class Frequencies	Relative Frequencies	Cumulative Frequencies
0-3	18	18/36=0.5=50%	18
4-7	11	11/36=0.305=30.56	18+11=29
8-11	4	4/36=0.111=11.11	29+4=33
12-15	0	0=0%	33+0=33
16-19	2	2/36=0.055=5.56%	33+2=35
20-24	1	1/36=0.027=2.78%	35+1=36
Totals	36	100%	36

Mean: 186/36=5.167

Median: (3+4)/2=3.5

Mode:
3


Standard Deviation

X	x-­ x¯	( x¯-x)2	v?(x- x¯)2/n-1
0	0-5.167=-5.167	26.698	26.698
1	1-5.167=-4.167	17.364	44.062
1	1-5.167=-4.167	17.364	61.426
1	1-5.167=-4.167	17.364	78.79
1	1-5.167=-4.167	17.364	96.154
1	1-5.167=-4.167	17.364	113.518
1	1-5.167=-4.167	17.364	130.882
2	2-5.167=-3.167	10.03	140.912
2	2-5.167=-3.167	10.03	150.942
2	2-5.167=-3.167	10.03	160.972
2	2-5.167=-3.167	10.03	171.002
3	3-5.167=-2.167	4.696	175.698
3	3-5.167=-2.167	4.696	180.394
3	3-5.167=-2.167	4.696	185.09
3	3-5.167=-2.167	4.696	189.786
3	3-5.167=-2.167	4.696	194.482
3	3-5.167=-2.167	4.696	199.178
3	3-5.167=-2.167	4.696	203.874
4	4-5.167=-1.167	1.362	205.236
4	4-5.167=-1.167	1.362	206.598
4	4-5.167=-1.167	1.362	207.96
4	4-5.167=-1.167	1.362	209.322
5	5-5.167=0.167	0.028	209.35
5	5-5.167=0.167	0.028	209.378
5	5-5.167=0.167	0.028	209.406
5	5-5.167=0.167	0.028	209.434
5	5-5.167=0.167	0.028	209.462
6	6-5.167=0.833	0.694	210.156
7	7-5.167=1.833	3.360	213.516
9	9-5.167=3.833	14.692	228.208
9	9-5.167=3.833	14.692	242.90
10	10-5.167=4.833	23.358	266.258
11	11-5.167=5.833	34.024	300.282
16	16-5.167=10.833	117.354	417.636
18	18-5.167=12.833	164.686	582.322
24	24-5.167=18.833	354.682	937.004/35=v26.772=5.174

Standard Deviation: 5.174
Variance: 26.772
Mean: 5.167
Mode: 3
Range: 24

Bell Curve




µ-o µ µ+o

68%

95%

-10.355 -5.181 -0.007 5.167 10.341 15.515 20.689
68%: -0.007 to 10.341
95%: -5.181 to 15.515
99.7%: -10.355 to 20.689

95% Confidence Interval for population mean