Mean, Median, Mode and Range -- Sorted Sets (Sets of 5 from 10 to ... - Free Printable
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Step-by-step solution for: Mean, Median, Mode and Range -- Sorted Sets (Sets of 5 from 10 to ...
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Show Answer Key & Explanations
Step-by-step solution for: Mean, Median, Mode and Range -- Sorted Sets (Sets of 5 from 10 to ...
Let’s solve each set step by step. For every set, we’ll find:
- Mean = add all numbers, then divide by how many numbers there are.
- Median = put numbers in order (they already are), then pick the middle one. If even count, average the two middle ones.
- Mode = number that appears most often. If none repeat, say “no mode”.
- Range = biggest number minus smallest number.
We’ll go one by one.
---
1) {18, 18, 63, 63, 84}
- Mean: (18 + 18 + 63 + 63 + 84) = 246 → 246 ÷ 5 = 49.2
- Median: Middle of 5 numbers → 3rd number = 63
- Mode: 18 and 63 both appear twice → 18 and 63 (bimodal)
- Range: 84 - 18 = 66
---
2) {19, 21, 29, 32, 89}
- Mean: (19+21+29+32+89) = 190 → 190 ÷ 5 = 38
- Median: 3rd number = 29
- Mode: All appear once → no mode
- Range: 89 - 19 = 70
---
3) {41, 41, 41, 44, 90}
- Mean: (41+41+41+44+90) = 257 → 257 ÷ 5 = 51.4
- Median: 3rd number = 41
- Mode: 41 appears 3 times → 41
- Range: 90 - 41 = 49
---
4) {25, 37, 39, 85, 85}
- Mean: (25+37+39+85+85) = 271 → 271 ÷ 5 = 54.2
- Median: 3rd number = 39
- Mode: 85 appears twice → 85
- Range: 85 - 25 = 60
---
5) {12, 36, 64, 65, 82}
- Mean: (12+36+64+65+82) = 259 → 259 ÷ 5 = 51.8
- Median: 3rd number = 64
- Mode: All unique → no mode
- Range: 82 - 12 = 70
---
6) {30, 57, 59, 76, 91}
- Mean: (30+57+59+76+91) = 313 → 313 ÷ 5 = 62.6
- Median: 3rd number = 59
- Mode: All unique → no mode
- Range: 91 - 30 = 61
---
7) {27, 27, 49, 77, 84}
- Mean: (27+27+49+77+84) = 264 → 264 ÷ 5 = 52.8
- Median: 3rd number = 49
- Mode: 27 appears twice → 27
- Range: 84 - 27 = 57
---
8) {25, 46, 62, 76, 97}
- Mean: (25+46+62+76+97) = 306 → 306 ÷ 5 = 61.2
- Median: 3rd number = 62
- Mode: All unique → no mode
- Range: 97 - 25 = 72
---
9) {22, 35, 58, 63, 75}
- Mean: (22+35+58+63+75) = 253 → 253 ÷ 5 = 50.6
- Median: 3rd number = 58
- Mode: All unique → no mode
- Range: 75 - 22 = 53
---
10) {45, 45, 47, 88, 89}
- Mean: (45+45+47+88+89) = 314 → 314 ÷ 5 = 62.8
- Median: 3rd number = 47
- Mode: 45 appears twice → 45
- Range: 89 - 45 = 44
---
11) {58, 84, 90, 90, 97}
- Mean: (58+84+90+90+97) = 419 → 419 ÷ 5 = 83.8
- Median: 3rd number = 90
- Mode: 90 appears twice → 90
- Range: 97 - 58 = 39
---
12) {25, 36, 36, 40, 68}
- Mean: (25+36+36+40+68) = 205 → 205 ÷ 5 = 41
- Median: 3rd number = 36
- Mode: 36 appears twice → 36
- Range: 68 - 25 = 43
---
13) {18, 18, 33, 34, 54}
- Mean: (18+18+33+34+54) = 157 → 157 ÷ 5 = 31.4
- Median: 3rd number = 33
- Mode: 18 appears twice → 18
- Range: 54 - 18 = 36
---
14) {19, 19, 27, 36, 64}
- Mean: (19+19+27+36+64) = 165 → 165 ÷ 5 = 33
- Median: 3rd number = 27
- Mode: 19 appears twice → 19
- Range: 64 - 19 = 45
---
15) {34, 52, 75, 85, 90}
- Mean: (34+52+75+85+90) = 336 → 336 ÷ 5 = 67.2
- Median: 3rd number = 75
- Mode: All unique → no mode
- Range: 90 - 34 = 56
---
16) {55, 57, 68, 82, 99}
- Mean: (55+57+68+82+99) = 361 → 361 ÷ 5 = 72.2
- Median: 3rd number = 68
- Mode: All unique → no mode
- Range: 99 - 55 = 44
---
Final Answer:
1) Mean: 49.2, Median: 63, Mode: 18 and 63, Range: 66
2) Mean: 38, Median: 29, Mode: no mode, Range: 70
3) Mean: 51.4, Median: 41, Mode: 41, Range: 49
4) Mean: 54.2, Median: 39, Mode: 85, Range: 60
5) Mean: 51.8, Median: 64, Mode: no mode, Range: 70
6) Mean: 62.6, Median: 59, Mode: no mode, Range: 61
7) Mean: 52.8, Median: 49, Mode: 27, Range: 57
8) Mean: 61.2, Median: 62, Mode: no mode, Range: 72
9) Mean: 50.6, Median: 58, Mode: no mode, Range: 53
10) Mean: 62.8, Median: 47, Mode: 45, Range: 44
11) Mean: 83.8, Median: 90, Mode: 90, Range: 39
12) Mean: 41, Median: 36, Mode: 36, Range: 43
13) Mean: 31.4, Median: 33, Mode: 18, Range: 36
14) Mean: 33, Median: 27, Mode: 19, Range: 45
15) Mean: 67.2, Median: 75, Mode: no mode, Range: 56
16) Mean: 72.2, Median: 68, Mode: no mode, Range: 44
- Mean = add all numbers, then divide by how many numbers there are.
- Median = put numbers in order (they already are), then pick the middle one. If even count, average the two middle ones.
- Mode = number that appears most often. If none repeat, say “no mode”.
- Range = biggest number minus smallest number.
We’ll go one by one.
---
1) {18, 18, 63, 63, 84}
- Mean: (18 + 18 + 63 + 63 + 84) = 246 → 246 ÷ 5 = 49.2
- Median: Middle of 5 numbers → 3rd number = 63
- Mode: 18 and 63 both appear twice → 18 and 63 (bimodal)
- Range: 84 - 18 = 66
---
2) {19, 21, 29, 32, 89}
- Mean: (19+21+29+32+89) = 190 → 190 ÷ 5 = 38
- Median: 3rd number = 29
- Mode: All appear once → no mode
- Range: 89 - 19 = 70
---
3) {41, 41, 41, 44, 90}
- Mean: (41+41+41+44+90) = 257 → 257 ÷ 5 = 51.4
- Median: 3rd number = 41
- Mode: 41 appears 3 times → 41
- Range: 90 - 41 = 49
---
4) {25, 37, 39, 85, 85}
- Mean: (25+37+39+85+85) = 271 → 271 ÷ 5 = 54.2
- Median: 3rd number = 39
- Mode: 85 appears twice → 85
- Range: 85 - 25 = 60
---
5) {12, 36, 64, 65, 82}
- Mean: (12+36+64+65+82) = 259 → 259 ÷ 5 = 51.8
- Median: 3rd number = 64
- Mode: All unique → no mode
- Range: 82 - 12 = 70
---
6) {30, 57, 59, 76, 91}
- Mean: (30+57+59+76+91) = 313 → 313 ÷ 5 = 62.6
- Median: 3rd number = 59
- Mode: All unique → no mode
- Range: 91 - 30 = 61
---
7) {27, 27, 49, 77, 84}
- Mean: (27+27+49+77+84) = 264 → 264 ÷ 5 = 52.8
- Median: 3rd number = 49
- Mode: 27 appears twice → 27
- Range: 84 - 27 = 57
---
8) {25, 46, 62, 76, 97}
- Mean: (25+46+62+76+97) = 306 → 306 ÷ 5 = 61.2
- Median: 3rd number = 62
- Mode: All unique → no mode
- Range: 97 - 25 = 72
---
9) {22, 35, 58, 63, 75}
- Mean: (22+35+58+63+75) = 253 → 253 ÷ 5 = 50.6
- Median: 3rd number = 58
- Mode: All unique → no mode
- Range: 75 - 22 = 53
---
10) {45, 45, 47, 88, 89}
- Mean: (45+45+47+88+89) = 314 → 314 ÷ 5 = 62.8
- Median: 3rd number = 47
- Mode: 45 appears twice → 45
- Range: 89 - 45 = 44
---
11) {58, 84, 90, 90, 97}
- Mean: (58+84+90+90+97) = 419 → 419 ÷ 5 = 83.8
- Median: 3rd number = 90
- Mode: 90 appears twice → 90
- Range: 97 - 58 = 39
---
12) {25, 36, 36, 40, 68}
- Mean: (25+36+36+40+68) = 205 → 205 ÷ 5 = 41
- Median: 3rd number = 36
- Mode: 36 appears twice → 36
- Range: 68 - 25 = 43
---
13) {18, 18, 33, 34, 54}
- Mean: (18+18+33+34+54) = 157 → 157 ÷ 5 = 31.4
- Median: 3rd number = 33
- Mode: 18 appears twice → 18
- Range: 54 - 18 = 36
---
14) {19, 19, 27, 36, 64}
- Mean: (19+19+27+36+64) = 165 → 165 ÷ 5 = 33
- Median: 3rd number = 27
- Mode: 19 appears twice → 19
- Range: 64 - 19 = 45
---
15) {34, 52, 75, 85, 90}
- Mean: (34+52+75+85+90) = 336 → 336 ÷ 5 = 67.2
- Median: 3rd number = 75
- Mode: All unique → no mode
- Range: 90 - 34 = 56
---
16) {55, 57, 68, 82, 99}
- Mean: (55+57+68+82+99) = 361 → 361 ÷ 5 = 72.2
- Median: 3rd number = 68
- Mode: All unique → no mode
- Range: 99 - 55 = 44
---
Final Answer:
1) Mean: 49.2, Median: 63, Mode: 18 and 63, Range: 66
2) Mean: 38, Median: 29, Mode: no mode, Range: 70
3) Mean: 51.4, Median: 41, Mode: 41, Range: 49
4) Mean: 54.2, Median: 39, Mode: 85, Range: 60
5) Mean: 51.8, Median: 64, Mode: no mode, Range: 70
6) Mean: 62.6, Median: 59, Mode: no mode, Range: 61
7) Mean: 52.8, Median: 49, Mode: 27, Range: 57
8) Mean: 61.2, Median: 62, Mode: no mode, Range: 72
9) Mean: 50.6, Median: 58, Mode: no mode, Range: 53
10) Mean: 62.8, Median: 47, Mode: 45, Range: 44
11) Mean: 83.8, Median: 90, Mode: 90, Range: 39
12) Mean: 41, Median: 36, Mode: 36, Range: 43
13) Mean: 31.4, Median: 33, Mode: 18, Range: 36
14) Mean: 33, Median: 27, Mode: 19, Range: 45
15) Mean: 67.2, Median: 75, Mode: no mode, Range: 56
16) Mean: 72.2, Median: 68, Mode: no mode, Range: 44
Parent Tip: Review the logic above to help your child master the concept of mean median mode range worksheet 7th grade.