MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES

Transcription

1 MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES

2 THE PRESIDENTS OF THE UNITED STATES Project: Focus on the Presidents of the United States Objective: See how many Presidents of the United States someone can name in a minute Data: Used Fathom to record our data, had a list of all of the Presidents of the United States that we used to check off each time a President was mentioned Variables: How many Presidents the person could name, their gender, their favorite subject, and if the person has taken any Honors or AP History courses

3 QUANTITATIVE DATA Collection 1 Box Plot Num ber_of_presidents_correct

4 QUANTITATIVE DATA Summary Statistics Mean: Presidents Std. Deviation: Presidents Minimum: 4 Presidents Q1: 9 Presidents Median: 14 Presidents Q3: 19 Presidents Maximum: 36 Presidents IQR: 10 Presidents

5 QUANTITATIVE DATA Outliers A= 9- (1.5 x 10) A=-6 Presidents B= 19+ (1.5 x 10) B= 34 Presidents Range: (-6,34) Presidents There is an outlier at 36 Presidents because 36 exceeds the range of the data which is (-6,34) Presidents.

6 QUANTITATIVE DATA Shape, Center, Spread Shape: Right Skewed, Unimodal Center: At the median of 14 Presidents IQR: Of 10 Presidents Outlier: At 36 Presidents Range: Of (4, 36) Presidents

7 QUANTITATIVE DATA Shape: The shape of the histogram does not look Normal because the data is right skewed. Percent of Data Falling within 1, 2, and 3 Std. Deviations from the Mean: X= 14.4 Presidents S= 6.78 Presidents The % Rule: (7.62,21.18) Presidents = 31/43= 72.1% (0.84, 27.96) Presidents = 41/43= 95.35% (-5.94, 34.74) Presidents = 42/43= 97.67% Based on the shape and the percentages above, the data is NOT normal. The percentages are all very different from the rule and the shape is not symmetric.

8 QUANTITATIVE DATA Counts: Female: 18 Male: 25 Total: 43 Percentages: Female: 41.86% Male: 58.14%

9 QUANTITATIVE DATA

10 QUANTITATIVE DATA Summary Statistics of Gender and the Number of Presidents Correct Males: Mean: Presidents Std. Deviation: 7.24 Presidents Minimum: 7 Presidents Q1: 11 Presidents Median: 14 Presidents Q3: 19 Presidents Maximum: 36 Presidents IQR: 8 Presidents Females: Mean: 12 Presidents Std. Deviation: 5.39 Presidents Minimum: 4 Presidents Q1: 7 Presidents Median: 10 Presidents Q3: 16 Presidents Maximum: 21 Presidents IQR: 9 Presidents

11 QUANTITATIVE DATA Male Outlier(s) A= 11- (1.5 x 8) A= -1 President(s) B= 19 + (1.5 x 8) B= 31 Presidents Range (-1,31) Presidents There is an outlier for the Male's at 36 Presidents because the number 36 exceeds the range of (-1,31) Presidents. Female Outlier(s) A= 7- (1.5 x 9) A= -6.5 Presidents B= 16+ (1.5 x 9) B= 29.5 Presidents Range (-6.5, 29.5) Presidents There are not outliers for the Female's set of data, all the data falls within the range of (-6.5, 29.5) Presidents.

12 QUANTITATIVE DATA The shape of the Males graph is while the shape of the Females graph is. The center of the Males graph is at the of, which is higher/lower than the center of the Females graph at the of. The IQR of the Males graph is, which is higher/lower than the IQR of the female graph which is. The range of the Males is, larger/smaller than the range of the Females which is.

13 QUANTITATIVE DATA Gender does/does not seem to have an effect on our quantitative data. This can be seen by

14 CATEGORICAL DATA 1: HAVE YOU TAKEN AN HONORS/AP HISTORY CLASS? Click to add text Count: Yes: 22 People No: 21 People Percent: Yes: 51.16% No: 48.84%

15 CATEGORICAL DATA 1: HAVE YOU TAKEN AN HONORS/AP HISTORY CLASS?

16 CATEGORICAL DATA 1 All Academic S.S. Classes Mean: Presidents Std Deviation: 7.78 Presidents Min: 6 Presidents Q1: 7 Presidents Med: 10 Presidents Q3: 17 Presidents Max: 36 Presidents IQR: 10 Presidents At least One Honor's/AP Class Mean: Presidents Std Deviation: 5.75 Presidents Min: 4 Presidents Q1: 11 Presidents Med: 15.5 Presidents Q3: 19 Presidents Max: 29 Presidents IQR: 8 Presidents

17 CATEGORICAL DATA 1 All Academic S.S. Classes A = 7-(1.5 x 10) A = -8 B = 17+(1.5 x 10) B = 32 Range = (-8, 31) Presidents There is an outlier in this set of data because 36 does not fall in the range of (-8, 31) At least One Honor's/AP Class A = 11-(1.5 x 8) A = -1 B = 19+(1.5 x 8) B = 35 Range = (-1, 35) Presidents There is no outlier in this set of data because all data falls in the range of (-1, 35)

18 CATEGORICAL DATA 1 Full comparison/description (like what was done with the gender

19 CATEGORICAL DATA 1 Conclusion on whether the variable has an influence on the quantitative data.

20 CAETGORICAL VARIABLE 2: (2 ANSWER CHOICES) Bar graph with numbers and percentages listed on slide

21 Histogram and Boxplot of your data broken down by the variable CATEGORICAL DATA 2

22 Summary stats of quantitative data broken down by variable CATEGORICAL DATA 2

23 CATEGORICAL DATA 2 Conclusion on whether the variable has an influence on the quantitative data.

24 ANALYSIS OF CATEGORICAL VARIABLE 3 Count: History: 8 People Science: 10 People Math: 12 People English: 9 People Other: 4 People Total: 43 People Percent: History: 18.6% Science: 23.26% Math: 27.91% English: 20.93% Other: 9.3% Total: 100%

25 ANALYSIS OF CATEGORICAL VARIABLE 3 History Englush Math Science Other Total Female 4.65% 20.93% 6.98% 2.33% 6.98% 41.86% Male 13.95% 0.00% 20.93% 20.93% 2.33% 58.14% Total 18.60% 20.93% 27.91% 23.26% 9.30% %

26 ANALYSIS OF CATEGORICAL VARIABLE 3 History Englush Math Science Other Total Female 11.11% 50.00% 16.67% 5.56% 16.67% % Male 24.00% 0.00% 36.00% 36.00% 4.00% % Female: Male: History = 11.1% 24% English = 50% 0% Math = 16.7% 36% Science = 5.6% 36% Other = 16.7% 4%

27 ANALYSIS OF CATEGORICAL VARIABLE 3 Gender does have an effect on our categorical variable. This can be concluded when looking at the stacked bar graph to the left. There were no males who had English as their favorite subject, so the females were dominant in that subject. There were 9 males who's favorite subject was Science compared to the 1 female who's favorite subject was Science. There was not a consistent or equal distribution of data of each gender for each subject; that is why gender does have an affect on our categorical variable of favorite subject.

28 BAR GRAPH ANALYSIS OF CATEGORICAL VARIABLE 4 Count: Percent:

29 ANALYSIS OF CATEGORICAL VARIABLE 4 Table in counts Table in % out of total

30 ANALYSIS OF CATEGORICAL VARIABLE 4 Stacked Bar Chart Percentages of each segment of the bar chart

31 Does gender have an affect on the variable? ANALYSIS OF CATEGORICAL VARIABLE 4

32 BIAS/ERROR Students gave up before the time ran out. Some students might have overheard what others were saying Embarrassment of doing a task that could reflect on their intelligence (in other words, fear of looking dumb) We could have mis-heard one of their answers We could have mis-counted how many they got right (for example, they might have repeated someone and we counted it twice)

33 CONCLUSION Quantitative Data From our data we learned a lot of information. When looking at the summary statistics of our quantitative data we learned that the median number of presidents that were named was 14. We were surprised that the minimum of our quantitative data was four presidents, especially since their are a couple of Presidents that have the dame last name. We were shocked that the maximum number of presidents that was named was 36 out of the total 43 (yes there have been 44 Presidents, but Grover Cleveland was president twice during different terms).

34 CONCLUSION Quantitative Data -Gender When looking at the Quantitative Data broken down by Gender, the shape of the Males graph is right skew and unimodal while the shape of the Females graph is symmetric and bimodal. The different shape of the graphs allowed us to conclude that gender does have an affect on our quantitative data. Categorical Data 1 The shape of the Yes graph (Students that have taken an AP/Honors History Course) is right skewed and unimodal while the No graph (Students that have not taken an AP/Honors History Course) is unimodal and symmetric. Whether or not the person has taken an Honors or AP History Class does have an effect on our quantitative data. Categorical Data 2 The categorical variable does have an effect on our quantitative data because it changes the amount of the data when looking at each subject.

35 CONCLUSION Analysis of Categorical Variable % of the people have taken an AP or Honors History Class, while 48.84% have not. Gender does have an affect on our categorical data. Analysis of Categorical Variable 2 The people of which we collected our data on, their favorite subjects were: History: 18.6%; Science: 23.26%; Math: 27.91%; English: 20.93%; and Other: 9.3%. Gender does have an effect on our categorical variable.