SOLUTION: Calculating the mean median mode worksheet - Studypool - Free Printable
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Step-by-step solution for: SOLUTION: Calculating the mean median mode worksheet - Studypool
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Step-by-step solution for: SOLUTION: Calculating the mean median mode worksheet - Studypool
Let’s solve each problem one by one. For each set of numbers, we need to find:
- Mean = Add all numbers, then divide by how many numbers there are.
- Median = Put numbers in order from smallest to largest, then pick the middle number (or average the two middle ones if there’s an even count).
- Mode = The number that appears most often. If no number repeats, write “None”.
- Range = Biggest number minus smallest number.
We’ll go step by step for each problem.
---
Problem 1:
Numbers: 82, 23, 59, 94, 70, 26, 32, 83, 87, 94, 32
Step 1: Sort them →
23, 26, 32, 32, 59, 70, 82, 83, 87, 94, 94
Count = 11 numbers
→ Mean: Add them up:
23+26=49; +32=81; +32=113; +59=172; +70=242; +82=324; +83=407; +87=494; +94=588; +94=682
Total = 682
Mean = 682 ÷ 11 = 62
→ Median: Middle of 11 numbers is the 6th → 70 → 70
→ Mode: 32 and 94 both appear twice → 32, 94
→ Range: 94 - 23 = 71
✔ Final for #1: Mean 62, Median 70, Mode 32,94, Range 71
---
Problem 2:
Numbers: 83, 93, 77, 33, 62, 28, 23
Sort: 23, 28, 33, 62, 77, 83, 93 → Count = 7
→ Mean: 23+28=51; +33=84; +62=146; +77=223; +83=306; +93=399
399 ÷ 7 = 57
→ Median: 4th number → 62
→ Mode: All appear once → None
→ Range: 93 - 23 = 70
✔ Final for #2: Mean 57, Median 62, Mode None, Range 70
---
Problem 3:
Numbers: 31, 92, 25, 69, 80, 31, 29
Sort: 25, 29, 31, 31, 69, 80, 92 → Count = 7
→ Mean: 25+29=54; +31=85; +31=116; +69=185; +80=265; +92=357
357 ÷ 7 = 51
→ Median: 4th → 31
→ Mode: 31 appears twice → 31
→ Range: 92 - 25 = 67
✔ Final for #3: Mean 51, Median 31, Mode 31, Range 67
---
Problem 4:
Numbers: 21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19
Sort: 19, 21, 28, 48, 59, 62, 63, 66, 66, 79, 94 → Count = 11
→ Mean: Let’s add carefully:
19+21=40; +28=68; +48=116; +59=175; +62=237; +63=300; +66=366; +66=432; +79=511; +94=605
605 ÷ 11 = 55
→ Median: 6th number → 62
→ Mode: 66 appears twice → 66
→ Range: 94 - 19 = 75
✔ Final for #4: Mean 55, Median 62, Mode 66, Range 75
---
Problem 5:
Numbers: 83, 23, 24, 71, 52, 62, 63
Sort: 23, 24, 52, 62, 63, 71, 83 → Count = 7
→ Mean: 23+24=47; +52=99; +62=161; +63=224; +71=295; +83=378
378 ÷ 7 = 54
→ Median: 4th → 62
→ Mode: All unique → None
→ Range: 83 - 23 = 60
✔ Final for #5: Mean 54, Median 62, Mode None, Range 60
---
Problem 6:
Numbers: 67, 70, 49, 95, 40, 97, 62, 54, 42
Sort: 40, 42, 49, 54, 62, 67, 70, 95, 97 → Count = 9
→ Mean: 40+42=82; +49=131; +54=185; +62=247; +67=314; +70=384; +95=479; +97=576
576 ÷ 9 = 64
→ Median: 5th → 62
→ Mode: All unique → None
→ Range: 97 - 40 = 57
✔ Final for #6: Mean 64, Median 62, Mode None, Range 57
---
Problem 7:
Numbers: 86, 13, 60, 55, 61, 97, 30, 98, 79, 52, 18
Sort: 13, 18, 30, 52, 55, 60, 61, 79, 86, 97, 98 → Count = 11
→ Mean: 13+18=31; +30=61; +52=113; +55=168; +60=228; +61=289; +79=368; +86=454; +97=551; +98=649
649 ÷ 11 = 59
→ Median: 6th → 60
→ Mode: All unique → None
→ Range: 98 - 13 = 85
✔ Final for #7: Mean 59, Median 60, Mode None, Range 85
---
Problem 8:
Numbers: 24, 22, 32, 59, 99, 59, 76, 83, 21, 95, 57
Sort: 21, 22, 24, 32, 57, 59, 59, 76, 83, 95, 99 → Count = 11
→ Mean: 21+22=43; +24=67; +32=99; +57=156; +59=215; +59=274; +76=350; +83=433; +95=528; +99=627
627 ÷ 11 = 57
→ Median: 6th → 59
→ Mode: 59 appears twice → 59
→ Range: 99 - 21 = 78
✔ Final for #8: Mean 57, Median 59, Mode 59, Range 78
---
Problem 9:
Numbers: 63, 25, 43, 28, 72, 61, 45, 46, 13
Sort: 13, 25, 28, 43, 45, 46, 61, 63, 72 → Count = 9
→ Mean: 13+25=38; +28=66; +43=109; +45=154; +46=200; +61=261; +63=324; +72=396
396 ÷ 9 = 44
→ Median: 5th → 45
→ Mode: All unique → None
→ Range: 72 - 13 = 59
✔ Final for #9: Mean 44, Median 45, Mode None, Range 59
---
Problem 10:
Numbers: 53, 44, 10, 45, 59, 97, 77
Sort: 10, 44, 45, 53, 59, 77, 97 → Count = 7
→ Mean: 10+44=54; +45=99; +53=152; +59=211; +77=288; +97=385
385 ÷ 7 = 55
→ Median: 4th → 53
→ Mode: All unique → None
→ Range: 97 - 10 = 87
✔ Final for #10: Mean 55, Median 53, Mode None, Range 87
---
Final Answer:
1) Mean 62, Median 70, Mode 32,94, Range 71
2) Mean 57, Median 62, Mode None, Range 70
3) Mean 51, Median 31, Mode 31, Range 67
4) Mean 55, Median 62, Mode 66, Range 75
5) Mean 54, Median 62, Mode None, Range 60
6) Mean 64, Median 62, Mode None, Range 57
7) Mean 59, Median 60, Mode None, Range 85
8) Mean 57, Median 59, Mode 59, Range 78
9) Mean 44, Median 45, Mode None, Range 59
10) Mean 55, Median 53, Mode None, Range 87
- Mean = Add all numbers, then divide by how many numbers there are.
- Median = Put numbers in order from smallest to largest, then pick the middle number (or average the two middle ones if there’s an even count).
- Mode = The number that appears most often. If no number repeats, write “None”.
- Range = Biggest number minus smallest number.
We’ll go step by step for each problem.
---
Problem 1:
Numbers: 82, 23, 59, 94, 70, 26, 32, 83, 87, 94, 32
Step 1: Sort them →
23, 26, 32, 32, 59, 70, 82, 83, 87, 94, 94
Count = 11 numbers
→ Mean: Add them up:
23+26=49; +32=81; +32=113; +59=172; +70=242; +82=324; +83=407; +87=494; +94=588; +94=682
Total = 682
Mean = 682 ÷ 11 = 62
→ Median: Middle of 11 numbers is the 6th → 70 → 70
→ Mode: 32 and 94 both appear twice → 32, 94
→ Range: 94 - 23 = 71
✔ Final for #1: Mean 62, Median 70, Mode 32,94, Range 71
---
Problem 2:
Numbers: 83, 93, 77, 33, 62, 28, 23
Sort: 23, 28, 33, 62, 77, 83, 93 → Count = 7
→ Mean: 23+28=51; +33=84; +62=146; +77=223; +83=306; +93=399
399 ÷ 7 = 57
→ Median: 4th number → 62
→ Mode: All appear once → None
→ Range: 93 - 23 = 70
✔ Final for #2: Mean 57, Median 62, Mode None, Range 70
---
Problem 3:
Numbers: 31, 92, 25, 69, 80, 31, 29
Sort: 25, 29, 31, 31, 69, 80, 92 → Count = 7
→ Mean: 25+29=54; +31=85; +31=116; +69=185; +80=265; +92=357
357 ÷ 7 = 51
→ Median: 4th → 31
→ Mode: 31 appears twice → 31
→ Range: 92 - 25 = 67
✔ Final for #3: Mean 51, Median 31, Mode 31, Range 67
---
Problem 4:
Numbers: 21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19
Sort: 19, 21, 28, 48, 59, 62, 63, 66, 66, 79, 94 → Count = 11
→ Mean: Let’s add carefully:
19+21=40; +28=68; +48=116; +59=175; +62=237; +63=300; +66=366; +66=432; +79=511; +94=605
605 ÷ 11 = 55
→ Median: 6th number → 62
→ Mode: 66 appears twice → 66
→ Range: 94 - 19 = 75
✔ Final for #4: Mean 55, Median 62, Mode 66, Range 75
---
Problem 5:
Numbers: 83, 23, 24, 71, 52, 62, 63
Sort: 23, 24, 52, 62, 63, 71, 83 → Count = 7
→ Mean: 23+24=47; +52=99; +62=161; +63=224; +71=295; +83=378
378 ÷ 7 = 54
→ Median: 4th → 62
→ Mode: All unique → None
→ Range: 83 - 23 = 60
✔ Final for #5: Mean 54, Median 62, Mode None, Range 60
---
Problem 6:
Numbers: 67, 70, 49, 95, 40, 97, 62, 54, 42
Sort: 40, 42, 49, 54, 62, 67, 70, 95, 97 → Count = 9
→ Mean: 40+42=82; +49=131; +54=185; +62=247; +67=314; +70=384; +95=479; +97=576
576 ÷ 9 = 64
→ Median: 5th → 62
→ Mode: All unique → None
→ Range: 97 - 40 = 57
✔ Final for #6: Mean 64, Median 62, Mode None, Range 57
---
Problem 7:
Numbers: 86, 13, 60, 55, 61, 97, 30, 98, 79, 52, 18
Sort: 13, 18, 30, 52, 55, 60, 61, 79, 86, 97, 98 → Count = 11
→ Mean: 13+18=31; +30=61; +52=113; +55=168; +60=228; +61=289; +79=368; +86=454; +97=551; +98=649
649 ÷ 11 = 59
→ Median: 6th → 60
→ Mode: All unique → None
→ Range: 98 - 13 = 85
✔ Final for #7: Mean 59, Median 60, Mode None, Range 85
---
Problem 8:
Numbers: 24, 22, 32, 59, 99, 59, 76, 83, 21, 95, 57
Sort: 21, 22, 24, 32, 57, 59, 59, 76, 83, 95, 99 → Count = 11
→ Mean: 21+22=43; +24=67; +32=99; +57=156; +59=215; +59=274; +76=350; +83=433; +95=528; +99=627
627 ÷ 11 = 57
→ Median: 6th → 59
→ Mode: 59 appears twice → 59
→ Range: 99 - 21 = 78
✔ Final for #8: Mean 57, Median 59, Mode 59, Range 78
---
Problem 9:
Numbers: 63, 25, 43, 28, 72, 61, 45, 46, 13
Sort: 13, 25, 28, 43, 45, 46, 61, 63, 72 → Count = 9
→ Mean: 13+25=38; +28=66; +43=109; +45=154; +46=200; +61=261; +63=324; +72=396
396 ÷ 9 = 44
→ Median: 5th → 45
→ Mode: All unique → None
→ Range: 72 - 13 = 59
✔ Final for #9: Mean 44, Median 45, Mode None, Range 59
---
Problem 10:
Numbers: 53, 44, 10, 45, 59, 97, 77
Sort: 10, 44, 45, 53, 59, 77, 97 → Count = 7
→ Mean: 10+44=54; +45=99; +53=152; +59=211; +77=288; +97=385
385 ÷ 7 = 55
→ Median: 4th → 53
→ Mode: All unique → None
→ Range: 97 - 10 = 87
✔ Final for #10: Mean 55, Median 53, Mode None, Range 87
---
Final Answer:
1) Mean 62, Median 70, Mode 32,94, Range 71
2) Mean 57, Median 62, Mode None, Range 70
3) Mean 51, Median 31, Mode 31, Range 67
4) Mean 55, Median 62, Mode 66, Range 75
5) Mean 54, Median 62, Mode None, Range 60
6) Mean 64, Median 62, Mode None, Range 57
7) Mean 59, Median 60, Mode None, Range 85
8) Mean 57, Median 59, Mode 59, Range 78
9) Mean 44, Median 45, Mode None, Range 59
10) Mean 55, Median 53, Mode None, Range 87
Parent Tip: Review the logic above to help your child master the concept of mean median mode answers.
