# Basic Algebra : Mean, Median, Mode and Linear Equations

Fiona kept the following records of her phone bills for 12 months:

$42, $37, $51, $41, $58, $44, $42, $35, $53, $58, $46, $57

Find the median of Fiona's monthly phone bills.

(a) Find the mean of the following set of numbers.

12, 16, 19, 22, 28, 30

(b) Find the mode of the following set of numbers.

11, 13, 13, 12, 11, 12, 13, 10, 14

The graph and table below show the income for a local company.

Year Total Income (in millions)

1980 $6.3

1985 $21.5

1990 $39.8

1995 $57.4

2000 $65.3

Use this information to predict the income in the year 2005.

Use the following to answer questions 4-6:

Use the graph, showing the yearly food costs of a family.

What was the cost in 2004?

Use the graph, showing the yearly food costs of a family.

What was the mean yearly cost (to the nearest cent) of food for this family in the 7 years from 1999 to 2005?

Use the graph, showing the yearly food costs of a family.

What was the percent of increase in cost of food for this family for the years 2001 to 2002?

Use the graph below, showing the total U.S. motor vehicle production for the years 1996 to 2002, to answer the question.

What was the production in 1996?

The following table gives the population of certain states according to the 2000 census.

State Population

California 33,871,648

Florida 15,982,378

Michigan 9,938,444

Pennsylvania 12,281,054

Washington 5,894,121

Construct a bar graph from this information.

The following pie chart shows the budget for a local company. The total budget is $520,000.

Find the amount budgeted in the category of Research.

The table below gives the number of older (age 65 and older) foreign-born residents of the U.S. by region of birth in the year 2000.

Region Population

Europe 1,200,000

Latin America 970,000

Asia 690,000

Other areas 240,000

Create a pie chart for the information.

Find the five-number summary of the following set of numbers.

10, 4, 9, 12, 6, 11, 6, 2, 7, 6

Use the bar graph, showing the attendance at a circus for 7 days in September, for problems 12-13.

Find the mean attendance over the 7 days.

Find the median attendance over the 7 days.

Which of the following numbers are integers?

Place the following set of numbers in ascending order.

19, -13, 7, -5, 13, 3, 16

Evaluate

Subtract

Find the reciprocal of

(a) Divide

(b) Divide

Perform the indicated operation.

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#### Solution Summary

Step by step solutions to all the problems is provided.

What is the power of each of the following studies, using a t test for dependent means (based on the .05 significance level)?

What is the power of each of the following studies, using a t test for dependent means (based on the .05 significance level)?

Answer by using the examples below:

Study Effect Size N Tails

(a) Small 20 One

(b) Medium 20 One

(c) Medium 30 One

(d) Medium 30 Two

(e) Large 30 Two