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Answer Sheet 25 points

Calculator Exercise 1 Math 205 - Chapter 2

Name: ___________________________ Date: _____________

Directions: Do all problems on this sheet using a calculator, not Excel.

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1. Charging Elephant Speeds The following data are the measured speeds in miles per hour of 30 charging elephants. Construct a grouped frequency distribution for the data. From the distribution, estimate an approximate average speed of a charging elephant. Use 5 classes.

(Based on data in theWorld Almanac and Book of Facts.)

25 24 25 24 25

23 25 19 32 23

22 24 26 25 23

28 25 25 26 27

22 28 24 23 24

21 25 22 29 23

.

The answer is:

|16-19 |1 |

|20-23 |9 |

|24-27 |16 |

|28-31 |3 |

|32-35 |1 |

And the estimated mean is 25.

2. Protein Grams in Fast Food The amount of protein (in grams) for a variety of fast-food

sandwiches is reported here. Construct a frequency distribution using 6 classes. Draw a histogram,

frequency polygon, and ogive for the data, using relative frequencies. Describe the shape of the

histogram.

23 30 20 27 44 26 35 20 29 29

25 15 18 27 19 22 12 26 34 15

27 35 26 43 35 14 24 12 23 31

40 35 38 57 22 42 24 21 27 33

Source: The Doctor’s Pocket Calorie, Fat, and Carbohydrate Counter.

The answer is:

|11 to 18 |6 |

|19 to 26 |14 |

|27 to 34 |10 |

|35 to 42 |7 |

|43 to 50 |2 |

|51 to 58 |1 |

The histogram is right skewed

3. National Hockey League Games The data shown indicate the number of wins and the number of

points scored for teams in the National Hockey League. Draw a scatter plot for the data and describe the nature

of the relationship.

Source: USA Today.

No. of wins, x 10 9 6 5 4 12 11 8

No. of points, y 23 22 15 15 10 26 26 26

No. of wins, x 7 5 9 8 6 6 4

No. of points, y 21 16 12 19 16 16 11

There is a positive relationship between them. Higher points score translates to move games won.

4. Trial-Ready Cases Construct a Pareto chart for the number of trial-ready civil action and equity cases

decided in less than 6 months for the selected counties in southwestern Pennsylvania.

Number of

County cases

Westmoreland 427

Washington 298

Green 151

Fayette 106

Somerset 87

Source: Pittsburgh Tribune-Review.

5. Bank Failures in the United States The number of bank failures in the United States during the years

1989–2000 is shown. Draw a time series graph to represent the data and analyze the results.

Number of

Year failures

1989 207

1990 169

1991 127

1992 122

1993 41

1994 13

1995 6

1996 5

1997 1

1998 3

1999 8

2000 7

2001 4

2002 11

Source: The World Almanac and Book of Facts.

The number of bank failures has gone way down in recent times, but there has been a slight uptick. One would note that more recent times would show an increase due to the recent financial meltdown.

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