Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

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Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

Chapter 3 – Averages and Variation

1. How hot does it get in Death Valley? Assume that the following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures  were taken from May to November in the vicinity of Furnace Creek. Compute the median for these ground temperatures. Round your answer to the nearest tenth.

148 151 168 173 194 178 193

194 178 178 168 163 151 144

  a.  159.5

  b.  168.0

  c.  193.5

  d.  341.0

  e.  170.5

ANSWER:   e

POINTS:   1

DIFFICULTY:   Easy

QUESTION TYPE:   Multi-Mode (Multiple choice)

HAS VARIABLES:   True

LEARNING OBJECTIVES:   13.26 – Find the median

NOTES:   Application

DATE CREATED:   11/4/2013 1:55 AM

DATE MODIFIED:   10/13/2016 10:24 AM

2. The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon.

Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch

2 3 1 1 3 4 8 11 3 1 3

 

Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls

10 1 1 0 8 9 2 11 3 0 1 10 2 1

The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively.

The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.

  a.  Lower Canyon mean is smaller than Upper Canyon, Lower Canyon median is smaller than Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.

  b.  Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is greater than Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.

  c.  Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is smaller than Upper Canyon, and Lower Canyon mode is greater than Upper Canyon.

  d.  Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is smaller than Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.

  e.  Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is greater than Upper Canyon, and Lower Canyon mode is greater than Upper Canyon.

ANSWER:   d

POINTS:   1

DIFFICULTY:   Easy

QUESTION TYPE:   Multi-Mode (Multiple choice)

HAS VARIABLES:   True

LEARNING OBJECTIVES:   13.27 – Compare mean, median, and mode between two records

NOTES:   Application

DATE CREATED:   11/4/2013 1:55 AM

DATE MODIFIED:   3/18/2014 7:58 AM

3. The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Compute a 5% trimmed mean for Upper Canyon and Lower Canyon. Round your answer to the nearest thousandth.

Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch

2 3 1 1 3 4 9 12 3 1 3

 

Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls

11 1 1 0 9 10 2 13 3 0 1 12 2 1

  a.  The 5% trimmed mean for Lower Canyon is 3.333 and for Upper Canyon is 5.583.

  b.  The 5% trimmed mean for Lower Canyon is 2.727 and for Upper Canyon is 4.786.

  c.  The 5% trimmed mean for Lower Canyon is 2.636 and for Upper Canyon is 3.857.

  d.  The 5% trimmed mean for Lower Canyon is 3.222 and for Upper Canyon is 4.417.

  e.  The 5% trimmed mean for Lower Canyon is 4.417 and for Upper Canyon is 3.222.

ANSWER:   e

POINTS:   1

DIFFICULTY:   Easy

QUESTION TYPE:   Multi-Mode (Multiple choice)

HAS VARIABLES:   True

LEARNING OBJECTIVES:   13.28 – Compute 5% timed mean for the sample

NOTES:   Application

DATE CREATED:   11/4/2013 1:55 AM

DATE MODIFIED:   3/6/2014 4:43 AM

4. In your biology class, your final grade is based on several things: a lab score, score on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 30% of your total grade, each major test is worth 22.5%, and the final exam is worth 25%. Compute the weighted average for the following scores: 92 on the lab, 85 on the first major test, 90 on the second major test, and 84 on the final exam. Round your answer to the nearest hundredth.

  a.  89.98

  b.  85.58

  c.  87.58

  d.  87.98

  e.  86.85

ANSWER:   d

POINTS:   1

DIFFICULTY:   Easy

QUESTION TYPE:   Multi-Mode (Multiple choice)

HAS VARIABLES:   True

LEARNING OBJECTIVES:   13.29 – Note the weighted average

NOTES:   Application

DATE CREATED:   11/4/2013 1:55 AM

DATE MODIFIED:   3/6/2014 4:45 AM

5. Find the range for the following sample data.

2317113027

  a.  10

  b.  7

  c.  6

  d.  3

  e.  19

ANSWER:   e

POINTS:   1

DIFFICULTY:   Easy

QUESTION TYPE:   Multi-Mode (Multiple choice)

HAS VARIABLES:   True

LEARNING OBJECTIVES:   13.30 – Find the range

NOTES:   Skill

DATE CREATED:   11/4/2013 1:55 AM

DATE MODIFIED:   3/6/2014 4:46 AM

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