Presidential Inaugural Addresses Ever wonder how many

Chapter 3, Problem 10RE

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QUESTION:

Ever wonder how many words are in a typical inaugural address? The following data represent the lengths of all the inaugural addresses (measured in word count) for all presidents up to Barack Obama.

1425

1125

1128

5433

2242

2283

135

1172

1337

1802

2446

1507

2308

3838

2480

1526

2449

2170

1729

8445

2978

3318

1355

1571

2158

4776

1681

4059

1437

2073

1175

996

4388

3801

2130

2406

1209

3319

2015

1883

1668

3217

2821

3967

1807

1087

4467

3634

2217

1340

2463

2906

698

985

559

2546

Source: infoplease.com

(a) Determine the mean and median number of words in a presidential inaugural address.

(b) Determine and interpret the quartiles for the number of words in a presidential inaugural address.

(c) Determine the five-number summary for the number of words in a presidential inaugural address.

(d) Determine the standard deviation and interquartile range for the number of words in a presidential inaugural address.

(e) Are there any outliers in the data set? If so, what is (are) the value(s)?

(f) Draw a boxplot of the data.

(g) Describe the shape of the distribution. Support your position using the boxplot and quartiles.

(h) Which measure of central tendency do you think better describes the typical number of words in an inaugural address? Why?

(i) Which measure of dispersion do you think better describes the spread of the typical number of words in an inaugural address? Why?

Questions & Answers

QUESTION:

Ever wonder how many words are in a typical inaugural address? The following data represent the lengths of all the inaugural addresses (measured in word count) for all presidents up to Barack Obama.

1425

1125

1128

5433

2242

2283

135

1172

1337

1802

2446

1507

2308

3838

2480

1526

2449

2170

1729

8445

2978

3318

1355

1571

2158

4776

1681

4059

1437

2073

1175

996

4388

3801

2130

2406

1209

3319

2015

1883

1668

3217

2821

3967

1807

1087

4467

3634

2217

1340

2463

2906

698

985

559

2546

Source: infoplease.com

(a) Determine the mean and median number of words in a presidential inaugural address.

(b) Determine and interpret the quartiles for the number of words in a presidential inaugural address.

(c) Determine the five-number summary for the number of words in a presidential inaugural address.

(d) Determine the standard deviation and interquartile range for the number of words in a presidential inaugural address.

(e) Are there any outliers in the data set? If so, what is (are) the value(s)?

(f) Draw a boxplot of the data.

(g) Describe the shape of the distribution. Support your position using the boxplot and quartiles.

(h) Which measure of central tendency do you think better describes the typical number of words in an inaugural address? Why?

(i) Which measure of dispersion do you think better describes the spread of the typical number of words in an inaugural address? Why?

ANSWER:

Step 1 of 10 

We have the data of presidential inaugural addresses

1425

1125

1128

5433

2242

2283

135

1172

1337

1802

2446

1507

2308

3838

2480

1526

2449

2170

1729

8445

2978

3318

1355

1571

2158

4776

1681

4059

1437

2073

1175

996

4388

3801

2130

2406

1209

3319

2015

1883

1668

 

3217

2821

3967

1807

1087

 

4467

3634

2217

1340

2463

 

2906

698

985

559

2546

 

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