Chris Torgalski Jin Lee Block One

Introduction Our experiment was to see how many basketball shots a person could make in one minute. To keep the experiment constant and fair for all people we set the basket at the same height for everyone, had everyone use the same ball, and shot from behind the same line. We broke up the data by whether they play sports competitively, by which partner collected the data, and by the subject’s gender.

Overall Data Shape: Bimodal with a right skew Center: Median – 5 Range: (1,12)

Normality Not normal because the data dips at the lower numbers

Partner Data Chris Shape: unimodal, right skewed Center: median - 5 Range: (2,9) Jin Shape: unimodal, symmetric Center: mean – 5.86 Range: (1,12) Comparison Jin collected more data and has a greater mean, median and range than Chris does.

Gender Data Female Shape: unimodal, right skewed Center: median - 3 Range: (1,9) Male Shape: unimodal, symmetric Center: mean – 6.75 Range: (2,12) Comparison There was more males that participated in the trials than females. Males had a larger mean, range, and median than females did.

Competitive Sports Data No Shape: unimodal, right skewed Center: median - 6 Range: (2,12) Yes Shape: unimodal, right skewed Center: median– 5 Range: (1,11) Comparison There was more data collected for people who play sports competitively than people who don’t. People who don’t play sports have a greater mean and median. Both groups share the same range.

Two-Way Frequency Table

Marginal Distribution of Gender Males: 20/35 = 57.14% Females: 15/35 = 42.86%

Marginal Distribution of Playing Sports No: 14/35 = 40% Yes: 21/35 = 60%

Conditional Distribution Association of Variables We can that gender and whether or not someone plays a sport competitively are not independent because their marginal distributions of one variable does not equal the conditional distribution of the other variable.

Bias/Error Data collectors could have counted the number of shots made incorrectly People could have shot from in front of the line

Conclusion The sample of 35 people that we collected can lead us to assume that: The amount of shots people will make in one minute will vary but most people will make around five shots Whether or not someone plays a sport does not have a huge effect on the amount of shots made We should have had more evenly distributed data among the categorical values to get more accurate results