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 5 mean - 3 median - 7 mode - 7 range - range - 14 mean - 7 median - 12 mode - 12 15 mean - 10 range - Super Teacher Worksheets - www.superteacherworksheets.com Student Name: __________________________ Score: Mean, Median, Mode, Range 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 = ________ Free Math Worksheets @ http://www.mathworksheets4kids.com Student Name: __________________________ 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 Mode = 24 Range = 62 32, 23, 22, 33, 33, 23, 32, 23, 22 Mean = 27 Median = 23 Mode = 23 Range = 11 Free Math Worksheets @ Score: 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 12, 12, 16, 22, 23, 25 Step 2: Find the number(s) in the middle. 12, 12, 16, 22, 23, 25 Step 3: Find the mean of the middle numbers. (16 + 22) ÷ 2 = 19 Step 1: Put the numbers in order, from least to greatest. Find the medians. Show your work and write your answer on the line. a. 8, 2, 3, 9, 3, 7, 3, 2, 7, 9 b. 6,266 6,662 median: _______________ 6,626 6,222 6,622 7,466 6,226 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 411 Spring St. $173,500 467 Spring St. $165,200 987 Spring St. $167,500 1322 Spring St. $145,000 median price: ______________________ Super Teacher Worksheets - 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 12, 12, 16, 22, 23, 25 Step 2: Find the number(s) in the middle. 12, 12, 16, 22, 23, 25 Step 3: Find the mean of the middle numbers. (16 + 22) ÷ 2 = 19 Step 1: Put the numbers in order, from least to greatest. Find the medians. Show your work and write your answer on the line. a. 8, 2, 3, 9, 3, 7, 3, 2, 7, 9 b. 6,266 6,662 2, 2, 3, 3, 3, 7, 7, 8, 9, 9 6,222 6,626 6,626 6,222 6,622 7,466 6,226 6,662 median: 5 6,226 6,266 7,466 6,622 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 d. 94,568 81,223 85,890 85,890 98,290 94,568 81,223 98,290 median: 90,229 median: 3.5 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 411 Spring St. $173,500 467 Spring St. $165,200 987 Spring St. $167,500 1322 Spring St. $145,000 $145,000 $165,000 $167,000 median price: $166,000 Super Teacher Worksheets - $173,500 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. Step 2: Find the largest number in the set. 142 356 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 b. -4, -7, 6, 3, 0, 13, -8 range: _______________ range: _______________ c. 0.09, 1.4, 9.44, 4.9, 0.9, 4.09, 9.4 d. 32, 42, 19, 23, 24 range: _______________ 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. Entrant Name Weight in lbs Weight in kg Entrant Name Weight in lbs Weight in kg Carmen 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 Super Teacher Worksheets - range: ___________ lbs range: ___________ kg 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. Step 2: Find the largest number in the set. 142 356 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 b. -4, -7, 6, 3, 0, 13, -8 75,575 - 7,775 = 67,800 13 - (-8) = 21 range: 67,800 range: 21 c. 0.09, 1.4, 9.44, 4.9, 0.9, 4.09, 9.4 d. 32, 42, 19, 23, 24 24 and 42 both equal 16. 19 equals 1 16 - 1 = 15 9.44 - 0.09 = 9.35 range: 9.35 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. Entrant Name Weight in lbs Weight in kg Entrant Name Weight in lbs Carmen 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 Super Teacher Worksheets - Weight in kg range: 5.2 lbs range: 2.3 kg T H E WA 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 • FA C T S H E E T Wage Gap for Hispanic Women - State Rankings Rank State Hispanic Female Earnings White nonHispanic Male Earnings 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 United States Vermont Maine New Hampshire Montana North Dakota Hawaii South Dakota Missouri Ohio Mississippi West Virginia Florida Kentucky Alaska Iowa Pennsylvania Michigan Wisconsin Arkansas Indiana Kansas Idaho New York New Mexico Colorado Arizona Nebraska Virginia Minnesota Nevada Tennessee Louisiana Oklahoma Delaware Wyoming Massachusetts Oregon Rhode Island Utah Georgia Illinois Connecticut North Carolina South Carolina Washington Maryland Texas Alabama District of Columbia New Jersey California $29,020 $32,778 $31,151 $36,990 $28,439 $28,473 $33,342 $25,178 $27,715 $29,039 $26,677 $25,257 $27,744 $24,594 $34,914 $25,528 $28,037 $28,268 $26,534 $22,515 $25,497 $25,537 $24,105 $32,207 $27,709 $29,769 $27,848 $23,687 $31,341 $27,332 $27,474 $22,825 $26,692 $22,852 $26,891 $26,616 $31,511 $24,646 $26,640 $24,824 $24,996 $27,539 $32,107 $22,286 $21,731 $26,922 $30,736 $25,410 $21,425 $39,209 $30,883 $29,347 $52,318 $45,431 $44,872 $53,403 $42,110 $44,152 $52,109 $40,362 $45,330 $48,092 $44,782 $42,885 $47,868 $43,038 $61,532 $45,476 $50,505 $51,198 $48,067 $41,112 $46,928 $47,116 $44,501 $59,487 $51,575 $55,507 $51,944 $44,837 $59,412 $51,956 $52,324 $43,885 $51,760 $44,545 $52,438 $52,088 $63,217 $49,986 $54,189 $51,302 $51,720 $57,314 $67,216 $46,820 $46,574 $58,678 $67,504 $56,191 $48,611 $89,044 $71,239 $67,959 What a woman makes for every dollar a man makes Wage Gap 55.5 72.1 69.4 69.3 67.5 64.5 64.0 62.4 61.1 60.4 59.6 58.9 58.0 57.1 56.7 56.1 55.5 55.2 55.2 54.8 54.3 54.2 54.2 54.1 53.7 53.6 53.6 52.8 52.8 52.6 52.5 52.0 51.6 51.3 51.3 51.1 49.8 49.3 49.2 48.4 48.3 48.0 47.8 47.6 46.7 45.9 45.5 45.2 44.1 44.0 43.4 43.2 44.5 27.9 30.6 30.7 32.5 35.5 36.0 37.6 38.9 39.6 40.4 41.1 42.0 42.9 43.3 43.9 44.5 44.8 44.8 45.2 45.7 45.8 45.8 45.9 46.3 46.4 46.4 47.2 47.2 47.4 47.5 48.0 48.4 48.7 48.7 48.9 50.2 50.7 50.8 51.6 51.7 52.0 52.2 52.4 53.3 54.1 54.5 54.8 55.9 56.0 56.6 56.8 “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 National 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, Suite 800, Washington, DC 20036 | 202.588.5180 Fax 202.588.5185 | www.nwlc.org Wage Gap for African American Women—State Rankings Rank State December 2015 African American White, non-Hispanic What a woman makes for Women's Earnings Men's Earnings every dollar a man makes Wage Gap United States $33,533 $55,470 60.5¢ 39.5¢ 1 Vermont $43,454 $46,754 92.9¢ 07.1¢ 2 Idaho $36,744 $46,294 79.4¢ 20.6¢ 3 Hawaii $39,338 $53,615 73.4¢ 26.6¢ 4 Oregon $36,148 $51,502 70.2¢ 29.8¢ 5 Maryland $48,048 $69,647 69.0¢ 31.0¢ 6 Tennessee $31,540 $45,964 68.6¢ 31.4¢ 7 Delaware $37,549 $54,748 68.6¢ 31.4¢ 8 Kentucky $31,006 $45,290 68.5¢ 31.5¢ 9 Pennsylvania $35,509 $52,055 68.2¢ 31.8¢ 10 Missouri $32,032 $46,980 68.2¢ 31.8¢ 11 Arizona $36,038 $53,671 67.1¢ 32.9¢ 12 Michigan $34,647 $52,192 66.4¢ 33.6¢ 13 Indiana $32,484 $48,987 66.3¢ 33.7¢ 14 New York $40,856 $61,788 66.1¢ 33.9¢ 15 Ohio $32,987 $50,223 65.7¢ 34.3¢ 16 New Hampshire $36,198 $55,750 64.9¢ 35.1¢ 17 Arkansas $27,949 $43,258 64.6¢ 35.4¢ 18 Nevada $35,271 $54,650 64.5¢ 35.5¢ 19 Wyoming $35,500 $55,058 64.5¢ 35.5¢ 20 Alaska $41,679 $64,668 64.5¢ 35.5¢ 21 North Carolina $31,321 $48,774 64.2¢ 35.8¢ 22 Illinois $38,370 $60,047 63.9¢ 36.1¢ 23 North Dakota $31,470 $49,263 63.9¢ 36.1¢ 24 Kansas $31,716 $49,711 63.8¢ 36.2¢ 25 New Mexico $34,177 $53,654 63.7¢ 36.3¢ 26 Colorado $36,728 $57,767 63.6¢ 36.4¢ 27 Georgia $33,190 $52,382 63.4¢ 36.6¢ 28 California $44,631 $70,805 63.0¢ 37.0¢ 29 Montana $27,902 $44,294 63.0¢ 37.0¢ 30 Oklahoma $29,843 $47,746 62.5¢ 37.5¢ 31 Maine $28,500 $45,812 62.2¢ 37.8¢ 32 Nebraska $29,258 $47,362 61.8¢ 38.2¢ 33 South Dakota $26,434 $42,958 61.5¢ 38.5¢ 34 Minnesota $33,288 $54,116 61.5¢ 38.5¢ 35 Florida $30,632 $49,875 61.4¢ 38.6¢ 36 Wisconsin $30,874 $50,368 61.3¢ 38.7¢ 37 Washington $37,042 $60,440 61.3¢ 38.7¢ 38 Iowa $29,142 $47,551 61.3¢ 38.7¢ 39 Massachusetts $40,460 $66,021 61.3¢ 38.7¢ 40 West Virginia $27,568 $45,719 60.3¢ 39.7¢ 41 Virginia $36,542 $61,218 59.7¢ 40.3¢ 42 Connecticut $40,942 $69,452 59.0¢ 41.0¢ 43 Texas $35,248 $60,185 58.6¢ 41.4¢ 44 New Jersey $42,761 $73,551 58.1¢ 41.9¢ 45 South Carolina $27,948 $48,640 57.5¢ 42.5¢ 46 Rhode Island $32,639 $56,965 57.3¢ 42.7¢ 47 Alabama $28,564 $50,194 56.9¢ 43.1¢ 48 Mississippi $25,961 $46,557 55.8¢ 44.2¢ 49 Utah $29,736 $53,504 55.6¢ 44.4¢ 50 District of Columbia $49,871 $89,751 55.6¢ 44.4¢ 51 Louisiana $26,400 $54,772 48.2¢ 51.8¢ “What a woman makes for every dollar a man makes” is the ratio of women's and men's median earnings for full-time, year-round workers. Earnings are in 2014 dollars. 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. Ranks based on unrounded data. State wage gaps calculated by National Women’s Law Center (NWLC) are based on 2010-2014 American Community Survey Five-Year Estimates (http://www.census.gov/acs/www/). National wage gap calculated by NWLC is based on 2015 Current Population Survey, Annual Social and Economic Supplement Wage Gap State Rankings: 2015 Rank State Female Earnings Male Earnings What a Woman Makes for Every Dollar a Man Makes Wage Gap 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 New York Delaware Florida District of Columbia North Carolina Rhode Island California New Mexico Hawaii Vermont Nevada Maryland Arizona Massachusetts Connecticut Kentucky New Jersey Minnesota Tennessee South Carolina Oregon Colorado Georgia Illinois Washington Texas Pennsylvania Arkansas Nebraska Maine Wisconsin South Dakota Alaska Missouri Virginia Iowa Kansas New Hampshire Alabama Indiana Mississippi Ohio Michigan Idaho Oklahoma Montana North Dakota Utah West Virginia Louisiana Wyoming $46,208 $45,192 $35,604 $62,191 $36,113 $44,050 $43,335 $35,070 $40,434 $40,173 $36,565 $50,635 $37,084 $51,343 $50,802 $35,294 $50,373 $42,137 $34,427 $34,182 $38,774 $41,690 $36,650 $41,327 $44,422 $36,934 $40,214 $32,003 $36,834 $36,841 $38,594 $33,268 $43,455 $35,759 $42,342 $36,264 $36,671 $43,172 $34,310 $35,753 $31,110 $37,365 $37,486 $31,808 $32,096 $33,443 $37,016 $36,060 $31,824 $33,832 $36,064 $52,124 $51,037 $41,105 $72,230 $42,039 $51,368 $50,562 $41,440 $48,074 $47,960 $43,681 $60,591 $44,421 $61,761 $61,666 $43,037 $61,462 $51,979 $42,525 $42,238 $48,001 $51,628 $45,396 $52,161 $56,215 $46,791 $50,976 $40,570 $46,763 $46,934 $49,306 $42,605 $55,752 $45,897 $54,392 $47,298 $47,864 $56,525 $45,057 $47,092 $41,092 $50,051 $50,479 $43,264 $43,829 $46,123 $52,031 $50,741 $45,082 $49,730 $55,965 $0.89 $0.89 $0.87 $0.86 $0.86 $0.86 $0.86 $0.85 $0.84 $0.84 $0.84 $0.84 $0.83 $0.83 $0.82 $0.82 $0.82 $0.81 $0.81 $0.81 $0.81 $0.81 $0.81 $0.79 $0.79 $0.79 $0.79 $0.79 $0.79 $0.78 $0.78 $0.78 $0.78 $0.78 $0.78 $0.77 $0.77 $0.76 $0.76 $0.76 $0.76 $0.75 $0.74 $0.74 $0.73 $0.73 $0.71 $0.71 $0.71 $0.68 $0.64 $(0.11) $(0.11) $(0.13) $(0.14) $(0.14) $(0.14) $(0.14) $(0.15) $(0.16) $(0.16) $(0.16) $(0.16) $(0.17) $(0.17) $(0.18) $(0.18) $(0.18) $(0.19) $(0.19) $(0.19) $(0.19) $(0.19) $(0.19) $(0.21) $(0.21) $(0.21) $(0.21) $(0.21) $(0.21) $(0.22) $(0.22) $(0.22) $(0.22) $(0.22) $(0.22) $(0.23) $(0.23) $(0.24) $(0.24) $(0.24) $(0.24) $(0.25) $(0.26) $(0.26) $(0.27) $(0.27) $(0.29) $(0.29) $(0.29) $(0.32) $(0.36) “What a woman makes for every dollar a man makes” is the ratio of women’s and men’s 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. Overall figures calculated by NWLC are based on 2015 American Community Survey Data. State Median Annual Earnings and Earnings Ratio for Full-time, Year-round Workers, Ages 16 and Older, by Gender, 2011 Men Women Earnings Ratio D.C. $66,760 $60,332 90% 2 Vermont $44,057 $38,177 3 Maryland $56,708 4 Nevada 5 California Men Women Earnings Ratio Dakota $40,285 $31,329 78% 87% 28 Wisconsin $46,214 $35,890 78% $48,748 86% 29 Virginia $52,805 $40,969 78% $41,803 $35,484 85% Alaska $52,379 $40,550 77% $49,281 $41,817 85% 31 Ohio $46,176 $35,746 77% Island $48,842 $41,412 85% 32 Iowa $43,624 $33,745 77% 7 Arizona $42,544 $36,048 85% Hampshire $53,033 $41,021 77% York $50,388 $42,113 84% 34 Pennsylvania $47,956 $37,089 77% 9 Florida $40,951 $33,823 83% 35 Washington $53,046 $40,993 77% 10 Arkansas $37,488 $30,752 82% 36 Illinois $50,746 $39,150 77% 11 Hawaii $45,494 $37,242 82% 37 Massachusetts $60,264 $46,185 77% 12 Texas $43,160 $35,301 82% 38 Kansas $43,993 $33,269 76% 13 Georgia $43,902 $35,438 81% Carolina $41,464 $31,330 76% 14 Delaware $50,411 $40,500 80% 40 Oklahoma $41,420 $31,274 76% 15 Tennessee $41,309 $33,184 80% 41 Indiana $45,183 $34,023 75% 16 Minnesota $50,580 $40,416 80% Idaho $41,528 $31,238 75% North Carolina $41,950 $33,459 80% 43 Montana $41,635 $31,067 75% 18 Nebraska $42,182 $33,424 79% 44 Alabama $42,951 $31,862 74% Colorado $50,987 $40,236 79% 45 Michigan $50,053 $36,931 74% Mexico $41,037 $32,316 79% 46 Mississippi $40,202 $29,548 73% 21 Maine $43,944 $34,599 79% 47 North Dakota $44,660 $32,462 73% 22 Kentucky $41,612 $32,684 79% 48 West Virginia $42,125 $29,688 70% 23 Missouri $43,146 $33,865 78% Utah $47,573 $32,843 69% 24 Oregon $45,976 $36,027 78% 50 Louisiana $46,313 $31,844 69% 25 Connecticut $60,705 $47,476 78% 51Wyoming $51,630 $34,381 67% $60,568 $47,155 78% United States* $48,202 $37,118 77% 1 Washington, 6 Rhode 8 New 17 19 20 New 26 New Jersey 27 South 30 33 New 39 South 42 49 *National data include workers ages 15 and older and are based on data from the U.S. Census Bureau’s Current Population Survey. Sources: U.S. Census Bureau, 2011 American Community Survey data. National data include workers ages 15 and older and are based on Current Population Survey data, U.S. Census Bureau; and DeNavas-Walt, Carmen, Bernadette D. Proctor, and Jessica C. Smith. (2012). U.S. Census Bureau, Current Population Reports. Income, Poverty, and Health Insurance Coverage in the United States: 2011. Washington, DC: U.S. Government Printing Office.