algebra 1 winter break packet

Name _____________________________

Mathematics 2011-2012

Algebra 1/Algebra Data Analysis WINTER BREAK

HOMEWORK PRACTICE In Preparation for the High School Assessment

December 22, 2011 – January 2, 2012

PRINCE GEORGE’S COUNTY PUBLIC SCHOOLS Division of Academics

Department of Curriculum and Instruction

Algebra 1/Algebra Data Analysis Winter Break Practice

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Mathematics 2011-2012

Session A Use the data table below to answer questions 1 to 17.

The data on the table represent wages earned by 25 years old and older for people who completed high school and people who earned Bachelor’s degree.

Men Women

Year

High school completion (includes equivalency)

Bachelorʹs degree

High school completion (includes equivalency)

Bachelorʹs degree

1997 31,215 48,616 22,067 35,379 1998 31,477 51,405 22,780 36,559 1999 33,184 52,985 23,061 37,993 2000 34,303 56,334 24,970 40,415 2001 34,723 55,929 25,303 40,994 2002 33,206 56,077 25,182 40,853 2003 35,412 56,502 26,074 41,327 2004 35,725 57,220 26,029 41,681 2006 37,030 60,910 26,740 45,410 2008 43,165 82,197 31,533 54,204

Table from www.infoplease.com/pa/AO883617.htm information please @database 2007. Pearson Education, Inc All rights reserved.

1. How much did a man who finished high school earn in 2002?

________________________________________________________________________________________________________________________________________________

2. How much did a woman who finished high school earn in 2002? ________________________________________________________________________________________________________________________________________________

3. What is the difference between the wage of men and women who finished high school in 2002? _______________________________________________________________________________________________________________________________________________


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4. Compare the wages between men and women who completed high school for

each year given in the table. Fill in the matrices below to display the difference in wages.

‐

=

5. Find the measures of central tendency (mean, median and mode) for the men

who earned bachelor’s degree. ________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________

6. Find the measures of central tendency (mean, median and mode) for the women who earned bachelor’s degree. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7. According to your measures of central tendency, who earned more in the category of bachelor’s degree, men or women? Explain. ________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________

8. Suppose the entry for 2006 was an error for men with a bachelor’s degree; the value should be $5000 more than what was recorded in the table. What measure of central tendency will be affected, the mean or the median? Explain. ________________________________________________________________________________________________________________________________________________


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________________________________________________________________________ 9. Construct a box‐and‐whisker plot for wages of women who earned a bachelor’s

degree.

10. On the same number line used for problem 9, above the plot for women, construct another box‐and‐whisker plot for wages of men who earned a bachelor’s degree. (Label the first box‐and‐whisker ‘women’ and the second box‐and‐whisker ‘men’.)

11. Find the range and interquartile range for the wages of women who completed a bachelor’s degree.

______________________________________________________________________________________________________________________________________________________ 12. Find the range and interquartile range for the wages of men who completed a

bachelor’s degree. ______________________________________________________________________________________________________________________________________________________ 13. Make a conclusion using the range and interquartile range derived from

problems 11 and 12. ______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________


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14. Make a scatter plot for the wages of women who earned a bachelor’s degree. Let x = year and let y = wages. Make the year 1997 = 0, 1998 = 1, and so on.

15. Find the equation of the line of best fit for the wages of the women who earned bachelor’s degree.

______________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________

16. Use the line of best fit to predict the wage of women with bachelor’s degree for 2007. Use mathematics to explain how you determined your answer.

______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________ 17. Use the line of best fit to predict the wage of women with bachelor’s degree for

2012. Use mathematics to explain how you determined your answer. ______________________________________________________________________________________________________________________________________________________


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Session B

Use the table below to answer questions 18 to 20.

The table below shows the detailed years of school for people 25 years and older in United States by 2010.

Detailed Years of School MALES FEMALES TOTAL

High school diploma 28,303 29,858 58,161 Bachelor’s degree only 14,853 15,308 30,161 Masterʹs degree 3 or more years program

1,963 2,243 4,206

Doctorate degree 1,763 1,015 2,778 TOTAL 46,882 48,424 95,306

Extracted from US census bureau data 2011

18. Based on the survey results, what is the probability that a randomly selected

male has a high school diploma? ______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________ 19. What is the probability that a randomly selected female has either a bachelor’s or

master’s degree? ______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________ 20. What is the probability that a randomly selected person does not have either a

master’s or doctorate degree? ______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________

algebra 1 winter break packet

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