StatCrunch Assignment 2A

Focus on a formulating and answering a question related to a categorical variable that can be answered using survey data and the techniques have studied thus far in this course. The question formulate should be about the entire population of StatCrunch U studentsnot just about those in the sample. Assume that sample is representative of the population.

1.

Be focusing on one of the categorical variables in the sample made in assignment 1A. Indicate the variable on which will be focusing.

2.

Formulate a question related to the variable chose. Question should be simple and focus only on the variable chose. For example, my question might be 'What proportion of male students are in class 3 at StatCrunch University?' Are not allowed to use this example question. Be sure question is about the population (StatCrunch University), not just the students in sample.

3.

What type of graph/chart will use to describe data? Be sure to choose a graph/chart that is appropriate for a categorical variable.

4.

Describe the methodology that will use to answer the question.

5.

Answer the question formulated. Be sure to include the chart/graph made. Upload answer as a file.

Gender ClassHoursWorkLoansCC Debt

Female 414007286

Male1121730261525

Female 4180170564089

Female 41316.505283

Male212002109

Male1211045721717

Male3120127013787

Male41613.5144140

Female 41518.5156310

Female 114001318

Male31511114340

Female 2151487632961

Male315002970

Female 415005656

Female 315002684

Female 114039631182

Female 315005428

Female 11121.501036

Female 41028149452832

Female 492309654

Female 11200975

Male215082383066

Female 1929.537151301

Female 11517.544940

Female 11214.539771370

Female 317006127

Female 11810.550741007

Male114001191

Female 11517.529521186

Male313004079

Female 216067491923

Male413003730

Female 217003320

Female 115001367

Female 415003147

Male214070202842

Male112000

Female 215003257

Female 31217.5106672852

Female 116001178

Male1121946311902

Male3170153215166

Male315005128

Female 118001259

Male117001525

Male112001369

Female 1171332891261

Female 41417.5144107430

Female 26002682

Male2634.578900

Female 1161335451208

Male3160122462380

Female 115001313

Male118001325

Female 2171081653176

Female 4926.5149890

Female 114028031184

Female 11514.531431135

Female 117001230

Male111285441410

Female 2633.576052892

Male315004363

Female 217002914

Female 41512.5158970

Female 273472271842

Female 31515135562961

Female 4627.5151272152

Female 31415122132637

Female 220668842304

Female 21613109793067

Female 118001375

Female 415003521

Male2627.588013147

Male1113050031565

Male31519118644028

Female 414000

Female 3130126903500

Male115001678

Male316005479

Male4170017669

Female 417007535

Male212002060

Male3200110044863

Female 316004727

Male2627.578373105

Male216002784

Male390119943555

Male2151476963519

Male117000

Female 412004195

Female 21316.568222147

Female 2189.575062472

Female 415004957

Female 118024111267

Female 31119.5124932398

Female 21117.584833188

Male116001476

Female 11516.532571210

Male312006608

Male320004577

1.The female students are majority that are 61% based on the sample percentage than the male.

Female = 61

Male = 39

Total = 100

Proportion of female = 61/100 = 0.61

Proportion of male = 39/100 = 0.39

2.

Classes

Frequency

Freshman(1)

34

Sophomore(2)

23

Junior(3)

23

Senior(4)

20

The distribution is skewed to the right that the peak of the data is falling from left to right side of the graph.

3.

Classes

Freshman

Sophomore

Junior

Senior

Male

13

9

14

3

Female

21

14

9

17

From freshman to sophomore, female students are greater than male students. In junior class, female students are dropped down less than male students in junior year. In senior class, male students had dropped very low in senior year.

4.

Credit Hours

Frequency

5-9

11

10-14

32

15-19

53

20-23

4

Credit Hours: 6, 1, 0, 4, 6, 12, 5, 9, 35, 11, 7, 0, 4

Range = 35 - 0 = 35, there will be 4 credit hours. Class width = 35/4 = 8.75 9

Lowest Class Limit = 5

Class Width= 5

Number of Classes = 4

The distribution for credit hours are bell-shaped, which make a normal distribution.

5.1.) Mean =

=The sum of all terms = 457716

Sample size n = 100

Mean x = 457716/100 = 4577.16

2.) Median

Median= 2877.5

3.) Mode

Mode will be the most repeated number = 0

4.) Range

Range =

Range = 17056

5.) Variance

= 29142747.27

6.) Standard Deviation

Descriptive Statistics

Value

Mean

4577.16

Median

2877.5

Mode

0

Range

17056

Variance

29142747.27

Standard deviation

5398.40

6.

Female:

Five-number summary

minimum

0

Q1

1230

median

2398

Q3

3257

maximum

9654

Interquartile Range = 3257 - 1230 = 2027

IQR = 2027

Finding the outlier/s

Lower Fence = 1230 -1.5(2027) = -1810.5

Upper Fence = 3257 + 1.5(2027) = 6297.5

If the value is less than -1810.5 or greater than 6297.5, then is the outliers.

Outliers = 7286, 7430, 7535, 9654

Male:

Five-number summary

minimum

0

Q1

1476

median

2784

Q3

4028

maximum

17669

Interquartile Range = 4028 - 1476

IQR = 2552

Lower Fence = 2552 - 1.5(2552) = -1276

Upper Fence = 4028 + 1.5(2552) = 7856

The value less than -1276 or greater than 7856, then it is an outliers.

Outlier = 17669

Both of the boxplot are left skewed since the distance from Q1 has the larger median distance than the Q3 median distance. The female boxplot has 4 outliers while the male boxplot has only 1 outlier.