Printable averages and mean worksheets and exercises for grade 4 ... - Free Printable
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Step-by-step solution for: Printable averages and mean worksheets and exercises for grade 4 ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable averages and mean worksheets and exercises for grade 4 ...
Let’s solve each set of numbers by finding the average.
To find the average:
1. Add all the numbers together.
2. Count how many numbers there are.
3. Divide the total sum by the count.
We’ll go row by row.
---
Row 1: 10, 15, 12, 4, 9
Sum = 10 + 15 + 12 + 4 + 9 = 50
Count = 5
Average = 50 ÷ 5 = 10
Row 2: 1, 8, 12, 5, 9
Sum = 1 + 8 + 12 + 5 + 9 = 35
Count = 5
Average = 35 ÷ 5 = 7
---
Row 3: 8, 9, 0, 7, 6
Sum = 8 + 9 + 0 + 7 + 6 = 30
Count = 5
Average = 30 ÷ 5 = 6
Row 4: 11, 20, 6, 19, 13
Sum = 11 + 20 + 6 + 19 + 13 = 69
Count = 5
Average = 69 ÷ 5 = 13.8
---
Row 5: 10, 6, 7, 9
Sum = 10 + 6 + 7 + 9 = 32
Count = 4
Average = 32 ÷ 4 = 8
Row 6: 12, 8, 8, 5, 4
Sum = 12 + 8 + 8 + 5 + 4 = 37
Count = 5
Average = 37 ÷ 5 = 7.4
---
Row 7: 0, 1, 2, 3, 4, 6, 6
Sum = 0 + 1 + 2 + 3 + 4 + 6 + 6 = 22
Count = 7
Average = 22 ÷ 7 ≈ 3.14 (we can leave it as a fraction or decimal — let’s use 3.14 for simplicity)
Actually, 22 ÷ 7 is exactly 3 and 1/7, but since this is for school, we’ll write it as 3.14 (rounded to two decimals).
Wait — let me double-check that sum:
0+1=1; +2=3; +3=6; +4=10; +6=16; +6=22 → correct.
22 ÷ 7 = 3.142857... so yes, 3.14 is fine.
But maybe they want exact? Let’s see other rows — some have decimals already. We’ll keep it as 3.14.
Actually, in elementary math, sometimes they expect fractions or rounded decimals. Since others like 13.8 and 7.4 are given, we’ll stick with decimals.
So: 3.14
But wait — let me check if I should round to one decimal? Looking at row 4: 13.8 (one decimal), row 6: 7.4 (one decimal). So perhaps we should use one decimal place.
22 ÷ 7 = 3.142... → rounds to 3.1
Hmm. But 3.14 is more accurate. However, to match the style of the worksheet (which uses one decimal in answers like 13.8), let’s use 3.1.
Actually, let’s recalculate: 7 × 3.1 = 21.7, which is less than 22. 7 × 3.14 = 21.98 — closer. But maybe the worksheet expects exact division.
Alternatively, perhaps I made a mistake — let me check again.
Wait — maybe the problem expects whole numbers or simple decimals. Let’s hold off and do the rest first.
Actually, let’s just calculate precisely and then decide.
I’ll note: 22 ÷ 7 = 3 1/7 ≈ 3.14, but for consistency, since other answers have one decimal, I’ll use 3.1.
But let’s see row 8: 0,1,2,3,4 — that’s easy.
---
Row 8: 0, 1, 2, 3, 4
Sum = 0+1+2+3+4 = 10
Count = 5
Average = 10 ÷ 5 = 2
---
Row 9: 10, 1, 0, 2, 7
Sum = 10 + 1 + 0 + 2 + 7 = 20
Count = 5
Average = 20 ÷ 5 = 4
Row 10: 15, 25, 15, 10, 35
Sum = 15 + 25 = 40; +15=55; +10=65; +35=100
Count = 5
Average = 100 ÷ 5 = 20
---
Row 11: 9, 11, 10, 6, 14
Sum = 9+11=20; +10=30; +6=36; +14=50
Count = 5
Average = 50 ÷ 5 = 10
Row 12: 10, 6, 9, 7
Sum = 10+6+9+7 = 32
Count = 4
Average = 32 ÷ 4 = 8
---
Now back to Row 7: 0,1,2,3,4,6,6 → sum 22, count 7.
22 ÷ 7 = 3.142857...
Since other averages are given to one decimal place (like 13.8, 7.4), I think we should round to one decimal: 3.1
But let me confirm: 7 × 3.1 = 21.7, which is 0.3 short. 7 × 3.14 = 21.98 — very close. But in school contexts, often they accept 3.1 or 3.14. However, looking at the worksheet, all other answers are either whole numbers or one decimal. So I’ll go with 3.1
Actually, let me check if I added correctly: 0+1+2+3+4+6+6.
0+1=1; 1+2=3; 3+3=6; 6+4=10; 10+6=16; 16+6=22 — yes.
22 ÷ 7 = 3.142... → to one decimal: look at second decimal is 4, which is less than 5, so round down → 3.1
Yes.
So final answers per row:
Left column:
1. 10
2. 6
3. 8
4. 3.1
5. 4
6. 10
Right column:
1. 7
2. 13.8
3. 7.4
4. 2
5. 20
6. 8
Wait — let's list them in order as per the worksheet layout.
The worksheet has two columns. Left column rows:
Row 1: 10,15,12,4,9 → 10
Row 2: 8,9,0,7,6 → 6
Row 3: 10,6,7,9 → 8
Row 4: 0,1,2,3,4,6,6 → 3.1
Row 5: 10,1,0,2,7 → 4
Row 6: 9,11,10,6,14 → 10
Right column:
Row 1: 1,8,12,5,9 → 7
Row 2: 11,20,6,19,13 → 13.8
Row 3: 12,8,8,5,4 → 7.4
Row 4: 0,1,2,3,4 → 2
Row 5: 15,25,15,10,35 → 20
Row 6: 10,6,9,7 → 8
All calculated.
Final Answer:
Left Column Averages: 10, 6, 8, 3.1, 4, 10
Right Column Averages: 7, 13.8, 7.4, 2, 20, 8
To find the average:
1. Add all the numbers together.
2. Count how many numbers there are.
3. Divide the total sum by the count.
We’ll go row by row.
---
Row 1: 10, 15, 12, 4, 9
Sum = 10 + 15 + 12 + 4 + 9 = 50
Count = 5
Average = 50 ÷ 5 = 10
Row 2: 1, 8, 12, 5, 9
Sum = 1 + 8 + 12 + 5 + 9 = 35
Count = 5
Average = 35 ÷ 5 = 7
---
Row 3: 8, 9, 0, 7, 6
Sum = 8 + 9 + 0 + 7 + 6 = 30
Count = 5
Average = 30 ÷ 5 = 6
Row 4: 11, 20, 6, 19, 13
Sum = 11 + 20 + 6 + 19 + 13 = 69
Count = 5
Average = 69 ÷ 5 = 13.8
---
Row 5: 10, 6, 7, 9
Sum = 10 + 6 + 7 + 9 = 32
Count = 4
Average = 32 ÷ 4 = 8
Row 6: 12, 8, 8, 5, 4
Sum = 12 + 8 + 8 + 5 + 4 = 37
Count = 5
Average = 37 ÷ 5 = 7.4
---
Row 7: 0, 1, 2, 3, 4, 6, 6
Sum = 0 + 1 + 2 + 3 + 4 + 6 + 6 = 22
Count = 7
Average = 22 ÷ 7 ≈ 3.14 (we can leave it as a fraction or decimal — let’s use 3.14 for simplicity)
Actually, 22 ÷ 7 is exactly 3 and 1/7, but since this is for school, we’ll write it as 3.14 (rounded to two decimals).
Wait — let me double-check that sum:
0+1=1; +2=3; +3=6; +4=10; +6=16; +6=22 → correct.
22 ÷ 7 = 3.142857... so yes, 3.14 is fine.
But maybe they want exact? Let’s see other rows — some have decimals already. We’ll keep it as 3.14.
Actually, in elementary math, sometimes they expect fractions or rounded decimals. Since others like 13.8 and 7.4 are given, we’ll stick with decimals.
So: 3.14
But wait — let me check if I should round to one decimal? Looking at row 4: 13.8 (one decimal), row 6: 7.4 (one decimal). So perhaps we should use one decimal place.
22 ÷ 7 = 3.142... → rounds to 3.1
Hmm. But 3.14 is more accurate. However, to match the style of the worksheet (which uses one decimal in answers like 13.8), let’s use 3.1.
Actually, let’s recalculate: 7 × 3.1 = 21.7, which is less than 22. 7 × 3.14 = 21.98 — closer. But maybe the worksheet expects exact division.
Alternatively, perhaps I made a mistake — let me check again.
Wait — maybe the problem expects whole numbers or simple decimals. Let’s hold off and do the rest first.
Actually, let’s just calculate precisely and then decide.
I’ll note: 22 ÷ 7 = 3 1/7 ≈ 3.14, but for consistency, since other answers have one decimal, I’ll use 3.1.
But let’s see row 8: 0,1,2,3,4 — that’s easy.
---
Row 8: 0, 1, 2, 3, 4
Sum = 0+1+2+3+4 = 10
Count = 5
Average = 10 ÷ 5 = 2
---
Row 9: 10, 1, 0, 2, 7
Sum = 10 + 1 + 0 + 2 + 7 = 20
Count = 5
Average = 20 ÷ 5 = 4
Row 10: 15, 25, 15, 10, 35
Sum = 15 + 25 = 40; +15=55; +10=65; +35=100
Count = 5
Average = 100 ÷ 5 = 20
---
Row 11: 9, 11, 10, 6, 14
Sum = 9+11=20; +10=30; +6=36; +14=50
Count = 5
Average = 50 ÷ 5 = 10
Row 12: 10, 6, 9, 7
Sum = 10+6+9+7 = 32
Count = 4
Average = 32 ÷ 4 = 8
---
Now back to Row 7: 0,1,2,3,4,6,6 → sum 22, count 7.
22 ÷ 7 = 3.142857...
Since other averages are given to one decimal place (like 13.8, 7.4), I think we should round to one decimal: 3.1
But let me confirm: 7 × 3.1 = 21.7, which is 0.3 short. 7 × 3.14 = 21.98 — very close. But in school contexts, often they accept 3.1 or 3.14. However, looking at the worksheet, all other answers are either whole numbers or one decimal. So I’ll go with 3.1
Actually, let me check if I added correctly: 0+1+2+3+4+6+6.
0+1=1; 1+2=3; 3+3=6; 6+4=10; 10+6=16; 16+6=22 — yes.
22 ÷ 7 = 3.142... → to one decimal: look at second decimal is 4, which is less than 5, so round down → 3.1
Yes.
So final answers per row:
Left column:
1. 10
2. 6
3. 8
4. 3.1
5. 4
6. 10
Right column:
1. 7
2. 13.8
3. 7.4
4. 2
5. 20
6. 8
Wait — let's list them in order as per the worksheet layout.
The worksheet has two columns. Left column rows:
Row 1: 10,15,12,4,9 → 10
Row 2: 8,9,0,7,6 → 6
Row 3: 10,6,7,9 → 8
Row 4: 0,1,2,3,4,6,6 → 3.1
Row 5: 10,1,0,2,7 → 4
Row 6: 9,11,10,6,14 → 10
Right column:
Row 1: 1,8,12,5,9 → 7
Row 2: 11,20,6,19,13 → 13.8
Row 3: 12,8,8,5,4 → 7.4
Row 4: 0,1,2,3,4 → 2
Row 5: 15,25,15,10,35 → 20
Row 6: 10,6,9,7 → 8
All calculated.
Final Answer:
Left Column Averages: 10, 6, 8, 3.1, 4, 10
Right Column Averages: 7, 13.8, 7.4, 2, 20, 8
Parent Tip: Review the logic above to help your child master the concept of averages worksheet.