The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Question

Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and adding

Answer 1

Question

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

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Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and adding

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Answer 2

Question

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

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Answer 3

Question

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

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Answer 4

Question

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

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Answer 5

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

Answer 6

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Answer 7

Chapter 6.B, Problem 16E

Part a:

To determine

The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Answer 8

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Answer 9

Part b:

To determine

The five-number summary and draw a box plot for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Refer explanation.

Answer 10

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Answer 11

Part c:

To determine

The standard deviation for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Answer 12

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Answer 13

Part d:

To determine

The standard deviation for each of the two data sets using range rule of thumb for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

Answer 14

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

Answer 15

Part e:

To determine

To compare: The two data sets in terms of their center and variation for the given table which gives average sales tax rate in six east coast and six western states.

East coast states Western states
Florida 6.8% California 8.25%
Massachusetts 6.25% Arkansas 1.76%
Maryland 6.00% Oregon 0%
New Hampshire 0% Washington 8.92%
New York 8.49% Arizona 8.25%
Rhode Island 7.00% Utah 6.76%

The average of sales tax rate in east coast states and western states are almost same. Variation is more in western states.

Answer 16

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The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

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The mean, median, and range for each of the two data sets for the given table which gives average sales tax rate in six east coast and six western states.

Chapter 6 Solutions

East coast states	Western states
Florida	6.8%	California	8.25%
Massachusetts	6.25%	Arkansas	1.76%
Maryland	6.00%	Oregon	0%
New Hampshire	0%	Washington	8.92%
New York	8.49%	Arizona	8.25%
Rhode Island	7.00%	Utah	6.76%