Definition Example How to Know Solve MEAN MEDIAN MODE RANGEadultbasiceducation.weebly.com/.../mean.median.mode.range_packe… · Mean, Median, Mode, and Range Graphic Organizer !

Mean, Median, Mode, and Range Graphic Organizer

Words to Know

Definition Example How to Solve

MEAN

Add all of the numbers in the data set. Divide by the amount of numbers in the set.

MEDIAN

Put your numbers in order from least to greatest to find the number in the middle.

MODE

Find the number that repeats itself the most.

RANGE

The difference between the highest number and the lowest number in the data set.

Mean, Median, Mode, and Range Reference Sheet

The MEAN is the average. Find the mean by adding up the numbers and divide by how many there are.

Example: (6 + 6 + 4 + 5 + 4) / 5 = 5.

_____________________________________________________________

The MEDIAN is the number in the middle. In order to find the median, you have to put the values in order from lowest to

highest, and then find the number that is exactly in the middle:

Example: 80 85 87 90 90 90 100

If there is an even number of values, you find the mean (or average) of the middle two numbers.

_____________________________________________________________

The MODE is the value that occurs most often.

Example: 7, 10, 9, 15, 9, 7, 16, 9

The mode is 9. _____________________________________________________________

The RANGE is the difference between the lowest and highest values.

Example: 13, 16, 10, 14, 21

21 (highest value) – 10 (lowest value) = 11

The range is 11.

Name: _____________________________

Mean, Median, Mode, and Range

Find the mean, median, mode, and range for each set of numbers.

median - __________________ mode - __________________

range - __________________ mean - __________________

median - __________________ mode - __________________

range - __________________ mean - __________________

median - __________________ mode - __________________

range - __________________ mean - __________________

Super Teacher Worksheets - www.superteacherworksheets.com

ANSWER KEY

Mean, Median, Mode, and Range

Find the mean, median, mode, and range for each set of numbers.

median - 2 mode - 1

range - 5 mean - 3

median - 7 mode - 7

range - 14 mean - 7

median - 12 mode - 12

range - 15 mean - 10


Student Name: __________________________ Score:

Free Math Worksheets @ http://www.mathworksheets4kids.com

Work Space

35, 56, 34, 44, 52, 12, 34, 45

Mean = ________ Median = ________

Mode = ________ Range = ________

24, 34, 32, 16, 45, 38, 28

Mean = ________ Median = ________

Mode = ________ Range = ________

86, 24, 65, 65, 24, 24

Mean = ________ Median = ________

Mode = ________ Range = ________

32, 23, 22, 33, 33, 23, 32, 23, 22

Mean = ________ Median = ________

Mode = ________ Range = ________

Mean, Median, Mode, Range

Student Name: __________________________ Score:

Free Math Worksheets @ http://www.mathworksheets4kids.com

Answers:

35, 56, 34, 44, 52, 12, 34, 45

Mean = 39 Median = 39.5

Mode = 34 Range = 44

24, 34, 32, 16, 45, 38, 28

Mean = 31 Median = 32

Mode = No Range = 29

86, 24, 65, 65, 24, 24

Mean = 48 Median = 44.5


32, 23, 22, 33, 33, 23, 32, 23, 22

Mean = 27 Median = 23


Name: _____________________________ Skill: Median

Median

Here's how you can find the median number in a set of numbers.

Step 1: Place the numbers in order from least to greatest.Step 2: Find the number in the middle. This number is the median.Step 3: If there are two middle numbers, find the mean of the two numbers.

Find the median of these numbers: 22, 23, 16, 12, 12, 25

Step 1: Put the numbers in order, from least to greatest. 12, 12, 16, 22, 23, 25Step 2: Find the number(s) in the middle. 12, 12, 16, 22, 23, 25Step 3: Find the mean of the middle numbers. (16 + 22) ÷ 2 = 19

Find the medians.Show your work and write your answer on the line. a. 8, 2, 3, 9, 3, 7, 3, 2, 7, 9

median: _______________

b. 6,266 6,626 6,622 6,226 6,662 6,222 7,466

median: _______________

c. 4.03, 3.4, 3.5, 3.06, 3.06, 4.03, 3.05, 3.04

median: _______________

d. 94,568 85,890 98,290 81,223

median: _______________

e. There are four houses for sale on Spring Street. Their prices are listed on the table below. Find the median price of the houses.

Address Price

median price: ______________________

411 Spring St. $173,500

467 Spring St. $165,200

987 Spring St. $167,500

1322 Spring St. $145,000


ANSWER KEY

Median

Here's how you can find the median number in a set of numbers.

Step 1: Place the numbers in order from least to greatest.Step 2: Find the number in the middle. This number is the median.Step 3: If there are two middle numbers, find the mean of the two numbers.

Find the median of these numbers: 22, 23, 16, 12, 12, 25

Step 1: Put the numbers in order, from least to greatest. 12, 12, 16, 22, 23, 25Step 2: Find the number(s) in the middle. 12, 12, 16, 22, 23, 25Step 3: Find the mean of the middle numbers. (16 + 22) ÷ 2 = 19

Find the medians.Show your work and write your answer on the line. a. 8, 2, 3, 9, 3, 7, 3, 2, 7, 9

2, 2, 3, 3, 3, 7, 7, 8, 9, 9

median: 5

b. 6,266 6,626 6,622 6,226 6,662 6,222 7,466

6,222 6,226 6,266 6,622 6,626 6,662 7,466

median: 6,622

c. 4.03, 3.4, 3.5, 3.4, 3.6, 4.03, 3.05, 3.04

3.04, 3.05, 3.06, 3.4, 3.6, 3.6, 4.03, 4.03

median: 3.5

d. 94,568 85,890 98,290 81,223

81,223 85,890 94,568 98,290

median: 90,229

e. There are four houses for sale on Spring Street. Their prices are listed on the table below. Find the median price of the houses.

Address Price $145,000 $165,000 $167,000 $173,500

median price: $166,000

411 Spring St. $173,500

467 Spring St. $165,200

987 Spring St. $167,500

1322 Spring St. $145,000


Name: _____________________________ Skill: Range

Range

The range is the difference between the smallest and largest number in a set.

Find the range of these numbers: 356, 354, 245, 350, 142, 342

Step 1: Find the smallest number in the set. 142

Step 2: Find the largest number in the set. 356

Step 3: Subtract the smallest number from the largest number to find the range. 356 - 142 = 214

Find the range for each set of numbers.Show your work and write your answer on the line. a. 75,557 57,775 7,775 55,770 75,575

range: _______________

b. -4, -7, 6, 3, 0, 13, -8

range: _______________

c. 0.09, 1.4, 9.44, 4.9, 0.9, 4.09, 9.4

range: _______________

d. 32, 42, 19, 23, 24

range: _______________

e. Eight children grew watermelons and entered them in the county fair. The judges weighed each watermelon and recorded the results on the tables below. Find the range of the weights of the watermelons in both kilograms and pounds.

EntrantName

Weightin lbs

Weightin kg

EntrantName

Weightin lbs

Weightin kg range: ___________ lbs

range: ___________ kgCarmen 23.2 10.5 Darren 24.4 11.1

Noah 23.3 10.6 Mohammad 23.8 10.8

Sophia 24.9 11.3 Finn 22.5 10.2

Cole 20 9.1 Leah 25.2 11.4


ANSWER KEY

Range

The range is the difference between the smallest and largest number in a set.

Find the range of these numbers: 356, 354, 245, 350, 142, 342

Step 1: Find the smallest number in the set. 142

Step 2: Find the largest number in the set. 356

Step 3: Subtract the smallest number from the largest number to find the range. 356 - 142 = 214

Find the range for each set of numbers.Show your work and write your answer on the line. a. 75,557 57,775 7,775 55,770 75,575

75,575 - 7,775 = 67,800

range: 67,800

b. -4, -7, 6, 3, 0, 13, -8

13 - (-8) = 21

range: 21

c. 0.09, 1.4, 9.44, 4.9, 0.9, 4.09, 9.4

9.44 - 0.09 = 9.35

range: 9.35

d. 32, 42, 19, 23, 24

24 and 42 both equal 16. 19 equals 1 16 - 1 = 15

range: 15

e. Eight children grew watermelons and entered them in the county fair. The judges weighed each watermelon and recorded the results on the tables below. Find the range of the weights of the watermelons in both kilograms and pounds.

EntrantName

Weightin lbs

Weightin kg

Entrant Name Weightin lbs

Weightin kg range: 5.2 lbs

range: 2.3 kgCarmen 23.2 10.5 Darren 24.4 11.1

Noah 23.3 10.6 Mohammad 23.8 10.8

Sophia 24.9 11.3 Finn 22.5 10.2

Cole 20 9.1 Leah 25.2 11.4


11 Dupont Circle NW, Suite 800, Washington, DC 20036 | 202.588.5180 Fax 202.588.5185 | www.nwlc.org

T H E W A G E G A P B Y S TAT E F O R H I S PA N I C W O M E N • F A C T S H E E T

United States $29,020 $52,318 55.5 44.51 Vermont $32,778 $45,431 72.1 27.92 Maine $31,151 $44,872 69.4 30.63 New Hampshire $36,990 $53,403 69.3 30.74 Montana $28,439 $42,110 67.5 32.55 North Dakota $28,473 $44,152 64.5 35.56 Hawaii $33,342 $52,109 64.0 36.07 South Dakota $25,178 $40,362 62.4 37.68 Missouri $27,715 $45,330 61.1 38.99 Ohio $29,039 $48,092 60.4 39.610 Mississippi $26,677 $44,782 59.6 40.411 West Virginia $25,257 $42,885 58.9 41.112 Florida $27,744 $47,868 58.0 42.013 Kentucky $24,594 $43,038 57.1 42.914 Alaska $34,914 $61,532 56.7 43.315 Iowa $25,528 $45,476 56.1 43.916 Pennsylvania $28,037 $50,505 55.5 44.517 Michigan $28,268 $51,198 55.2 44.818 Wisconsin $26,534 $48,067 55.2 44.819 Arkansas $22,515 $41,112 54.8 45.220 Indiana $25,497 $46,928 54.3 45.721 Kansas $25,537 $47,116 54.2 45.822 Idaho $24,105 $44,501 54.2 45.823 New York $32,207 $59,487 54.1 45.924 New Mexico $27,709 $51,575 53.7 46.325 Colorado $29,769 $55,507 53.6 46.426 Arizona $27,848 $51,944 53.6 46.427 Nebraska $23,687 $44,837 52.8 47.228 Virginia $31,341 $59,412 52.8 47.229 Minnesota $27,332 $51,956 52.6 47.430 Nevada $27,474 $52,324 52.5 47.531 Tennessee $22,825 $43,885 52.0 48.032 Louisiana $26,692 $51,760 51.6 48.433 Oklahoma $22,852 $44,545 51.3 48.734 Delaware $26,891 $52,438 51.3 48.735 Wyoming $26,616 $52,088 51.1 48.936 Massachusetts $31,511 $63,217 49.8 50.237 Oregon $24,646 $49,986 49.3 50.738 Rhode Island $26,640 $54,189 49.2 50.839 Utah $24,824 $51,302 48.4 51.640 Georgia $24,996 $51,720 48.3 51.741 Illinois $27,539 $57,314 48.0 52.042 Connecticut $32,107 $67,216 47.8 52.243 North Carolina $22,286 $46,820 47.6 52.444 South Carolina $21,731 $46,574 46.7 53.345 Washington $26,922 $58,678 45.9 54.146 Maryland $30,736 $67,504 45.5 54.547 Texas $25,410 $56,191 45.2 54.848 Alabama $21,425 $48,611 44.1 55.949 District of Columbia $39,209 $89,044 44.0 56.050 New Jersey $30,883 $71,239 43.4 56.651 California $29,347 $67,959 43.2 56.8

Wage Gap for Hispanic Women - State Rankings

Rank StateHispanic Female

Earnings

White non-Hispanic Male

Earnings

What a woman makes for every

dollar a man makes Wage Gap

“What a woman makes for every dollar a man makes” is the ratio of female and male annual median earnings for full-time, year-round workers. The “wage gap” is the additional money a woman would have to make for every dollar made by a man in order to have equal annual earnings. State figures calculated by the Na-tional Women’s Law Center (NWLC) are based on the 2009-2011 American Community Survey Three-Year Estimates (http://www.census.gov/acs/www/). National figures calculated by NWLC is based on 2012 Current Population Survey, Annual Social and Economic Supplement (http://www.census.gov/hhes/www/income/)

11 Dupont CirCle, nW, #800, Washington, DC 20036 p: (202) 588 5180 WWW.nWlC.org Workplace Justice | paGe 1

$1,017

$869$928

$697

$0

$200

$400

$600

$800

$1,000

Members of unions Non-union workers

Wage Gap for Median Weekly Earnings by Union Membership, 2015

Men Women

Source: Bureau of Labor Statistics Union Members Summary (Jan. 2016), Table 2, available at http://www.bls.gov/news.release/union2.nr0.htm. Figures are for full-time workers.

9%wage gap

20%wage gap

union membership boosts wages for all workers—but women see especially large advantages from being in a union. the wage gap among union members is less than half the size of the wage gap among non-union workers, and female union members typically earn over $230 per week more than women who are not represented by unions—a larger wage premium than men receive. protecting and strengthening workers’ rights to come together to form a union is a key strategy for achieving equal pay for women.

The overall gender wage gap for union members is less than half the size of the wage gap for non-union workers.

• Amongnon-unionworkers,womenworkingfulltimetypically make 80 percent of what their male counterparts make weekly—a wage gap of 20 cents.

• Amongunionmembers,thatgapshrinksdramatically:women working full time typically make 91 percent of what their male counterparts make weekly—a wage gap of 9 cents.

• ThegenderwagegapisalsosmallerforAfricanAmericanandLatinaunionworkers.Amongfull-timeworkers:

o the wage gap between african american women and white men is 34 cents among non-union workers, compared to 27 cents for union workers.

o the wage gap between latinas and white men is 40 cents among non-union workers, compared to 26 cents for union workers.

NATIONAL WOMEN’S LAW CENTER | FACT SHEET | FEb 2016

Workplace Justice

Union membership is critical for eqUal payKatherine Gallagher robbins and andrea Johnson

www.nwlc.org


$869

$697

$1,017

$928

$0

$200

$400

$600

$800

$1,000

Men Women

Non-union workers Members of unions

Source: Bureau of Labor Statistics Union Members Summary (Jan. 2016), Table 2, available at http://www.bls.gov/news.release/union2.t02.htm. Figures are for full-time workers.

17%bump

33%bump

Median Weekly Earnings and the Union Premium, 2015

• ThewagegapforAsianAmericanwomendisappearsamong union workers.

o among full-time union workers, asian american women typically make slightly more than white men (an extra 4 cents on the dollar), while among full-time, non-union workers, asian american women make less than white men, resulting in a 7-cent wage gap.

• Greaterwagetransparencyandstandardizationin collectively bargained wages, as well as the availability of formal grievance processes and union representation to address complaints regarding wages, likely contribute to the smaller gender wage gap among union members.

Women’s union wage premium is 1.6 times as large as men’s.

• Unionmemberstypicallymakemoreperweekthannon-union workers—but the bonus is larger for women, and is especially large for some women of color.

o Women union members who work full time typically make $928 per week—33 percent ($231) more than women non-union workers who typically make $697 per week. in contrast, men union members who work full time typically make $1,017 per week—17 percent ($148) more than men non-union workers who typically make $869 per week.

o among women, latina workers experience particularly large financial benefits from union membership. among full-time workers, latina union members typically make 44 percent more ($237 per week) than latina non-union workers.

o among full-time workers, african american women union members typically make 29 percent more ($173 per week) than african american women non-union workers.

o among full-time workers, asian american women union members typically make 31 percent more ($256 per week) than asian american women non-union workers.

o among full-time workers white women union members typically make 33 percent more ($237 per week) than white women non-union workers.

www.nwlc.org


1 right-to-work laws make it illegal for unions to negotiate a contract that allows them to collect fair share dues from all of the employees who benefit from the union contract. regarding lower wages, see ElisE Gould & Will Kimball, Economic Policy institutE, “RiGht-to-WoRK” statEs still havE loWER WaGEs (apr. 2015), available at http://www.epi.org/publication/right-to-work-states-have-lower-wages/.

2 s. 2042, 114th cong. (2015).

The rate of union membership ticked up slightly for women between 2014 and 2015.

• Therateofunionmembership—thepercentageof employees who were members of unions—remained flat in 2015 at 11.1 percent.

• Thepercentageofemployedwomenwhowereunionmembers ticked up slightly between 2014 and 2015 to 10.6 percent from 10.5 percent, while the rate for men declined to 11.5 percent from 11.7 percent.

To promote equal pay for women, workers’ rights to organize must be strengthened—but these rights are under attack.

• Halfthestateshaveenactedso-calledright-to-worklaws,which hinder workers’ efforts to organize and bargain collectively and result in lower wages for working people.1 Defending against such laws is critical to ensure the economic security of all workers and equal pay for women.

• Theabilityofpublicsectorunionstopromoteequalityandeconomic security for women, who make up a majority of the public sector workforce, is presently being challenged in Friedrichs v. California Teachers Association. the plaintiffs in that case are seeking to overturn nearly 40 years of precedent and establish new barriers to workers coming together to advocate for improved wages and working conditions in the public sector.

• Otherlawmakersareworkingtostrengthentherightofworkers to band together. the Workplace action for a Growing economy (WaGe) act,2 introduced in this congress, would discourage employer retaliation against workers who exercise their right to organize and would assure that if the right to organize is denied, remedies will be prompt and fair.

Technical note: unless otherwise noted, all data come from the Bureau of labor statistics (Bls) union Members 2015 release (http://www.bls.gov/news.release/union2.nr0.htm). Bls data on union membership include all employed wage and salary workers 16 and older. Figures are annual averages. Data are not available broken down by gender and sector. Data on union representation (workers represented by unions include both workers who are union members as well as those who are not members but whose jobs are covered by a union contract) are not reported here but are similar to those for union membership. Wage gaps in this analysis are calculated based on median weekly earnings. these data differ slightly from the often-used measure of median annual earnings for full-time, year-round workers. using that measure, the typical woman makes 79 percent of what the typical man makes (see National Women’s law center, the Wage Gap is stagnant for Nearly a Decade (september 2015) available at http://www.nwlc.org/resource/wage-gap-stagnant-nearly-decade).

http://www.epi.org/publication/right-to-work-states-have-lower-wages/

http://www.bls.gov/news.release/union2.nr0.htm

http://www.nwlc.org/resource/wage-gap-stagnant-nearly-decade

http://www.nwlc.org/resource/wage-gap-stagnant-nearly-decade

11 Dupont Circle NW, Suite 800, Washington, DC 20036 | 202.588.5180 Fax 202.588.5185 | www.nwlc.org

T H E W A G E G A P B Y S TAT E F O R A F R I C A N - A M E R I C A N W O M E N • F A C T S H E E T

United States $33,501 $52,318 64.0 36.01 Vermont $36,082 $45,431 79.4 20.62 Montana $33,036 $42,110 78.5 21.53 Idaho $33,844 $44,501 76.1 23.94 North Dakota $31,970 $44,152 72.4 27.65 Kentucky $30,355 $43,038 70.5 29.56 Hawaii $36,600 $52,109 70.2 29.87 Tennessee $30,611 $43,885 69.8 30.28 Missouri $31,436 $45,330 69.3 30.79 Delaware $36,177 $52,438 69.0 31.010 Pennsylvania $34,401 $50,505 68.1 31.911 New Hampshire $36,285 $53,403 67.9 32.112 Oregon $33,883 $49,986 67.8 32.213 Michigan $34,690 $51,198 67.8 32.214 Maryland $45,616 $67,504 67.6 32.415 Nevada $35,334 $52,324 67.5 32.516 Arizona $34,988 $51,944 67.4 32.617 New York $39,587 $59,487 66.5 33.518 Nebraska $29,734 $44,837 66.3 33.719 Arkansas $27,184 $41,112 66.1 33.920 Ohio $31,739 $48,092 66.0 34.021 Indiana $30,959 $46,928 66.0 34.022 Maine $29,597 $44,872 66.0 34.023 Kansas $30,759 $47,116 65.3 34.724 Illinois $37,290 $57,314 65.1 34.925 North Carolina $30,409 $46,820 64.9 35.126 Colorado $35,727 $55,507 64.4 35.627 Washington $37,263 $58,678 63.5 36.528 California $42,939 $67,959 63.2 36.829 Massachusetts $39,904 $63,217 63.1 36.930 Alaska $38,701 $61,532 62.9 37.131 Wisconsin $30,205 $48,067 62.8 37.232 Minnesota $32,512 $51,956 62.6 37.433 Florida $29,880 $47,868 62.4 37.634 Rhode Island $33,726 $54,189 62.2 37.835 Georgia $31,731 $51,720 61.4 38.636 Oklahoma $27,218 $44,545 61.1 38.937 New Mexico $31,187 $51,575 60.5 39.538 West Virginia $25,893 $42,885 60.4 39.639 Texas $33,491 $56,191 59.6 40.440 Iowa $27,095 $45,476 59.6 40.441 Wyoming $30,987 $52,088 59.5 40.542 South Dakota $23,993 $40,362 59.4 40.643 Virginia $35,171 $59,412 59.2 40.844 New Jersey $41,522 $71,239 58.3 41.745 Connecticut $38,781 $67,216 57.7 42.346 South Carolina $26,692 $46,574 57.3 42.747 Alabama $27,561 $48,611 56.7 43.348 Mississippi $24,572 $44,782 54.9 45.149 District of Columbia $46,834 $89,044 52.6 47.450 Utah $26,121 $51,302 50.9 49.151 Louisiana $25,485 $51,760 49.2 50.8

Wage Gap for African-American Women - State Rankings

Rank State

African- American

Female Earnings

White non-Hispanic Male

Earnings

What a woman makes for every

dollar a man makes Wage Gap

“What a woman makes for every dollar a man makes” is the ratio of female and male annual median earnings for full-time, year-round workers. The “wage gap” is the additional money a woman would have to make for every dollar made by a man in order to have equal annual earnings. State figures calculated by the Na-tional Women’s Law Center (NWLC) are based on the 2009-2011 American Community Survey Three-Year Estimates (http://www.census.gov/acs/www/). National figures calculated by NWLC is based on 2012 Current Population Survey, Annual Social and Economic Supplement (http://www.census.gov/hhes/www/income/)

Documents

Definition Example How to Know Solve MEAN MEDIAN MODE RANGEadultbasiceducation.weebly.com/.../mean.median.mode.range_packe… · Mean, Median, Mode, and Range Graphic Organizer !