Uploaded by Delaney Jones

mean.median.mode.range packet

advertisement
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.
Download