Here are the step-by-step solutions for each problem on the sheet.
1) Data: {32, 37, 35, 34, 25, 41, 34}
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Order: The numbers from smallest to largest are:
{25, 32, 34, 34, 35, 37, 41}
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Mean: Add them up ($25+32+34+34+35+37+41 = 238$) and divide by 7. $238 \div 7 =$
34
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Median: The middle number in the ordered list is
34.
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Mode: The number that appears most often is
34.
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Range: Largest minus smallest ($41 - 25$) =
16
2) Data: {102, 107, 99, 102, 111, 95, 91}
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Order: {91, 95, 99, 102, 102, 107, 111}
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Mean: Sum is 707. Divide by 7. $707 \div 7 =$
101
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Median: The middle number is
102.
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Mode: The number appearing most often is
102.
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Range: $111 - 91 =$
20
3) Data: {1.5, 2.2, 1.3, 2.8, 2.2}
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Order: {1.3, 1.5, 2.2, 2.2, 2.8}
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Mean: Sum is 10. Divide by 5. $10 \div 5 =$
2
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Median: The middle number is
2.2.
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Mode: The number appearing most often is
2.2.
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Range: $2.8 - 1.3 =$
1.5
4) Data: {0.3, 0.9, 0.2, 0, 0.8, 0.9, 0.4}
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Order: {0, 0.2, 0.3, 0.4, 0.8, 0.9, 0.9}
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Mean: Sum is 3.5. Divide by 7. $3.5 \div 7 =$
0.5
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Median: The middle number is
0.4.
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Mode: The number appearing most often is
0.9.
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Range: $0.9 - 0 =$
0.9
5) Data: {126, 128, 107, 113, 120, 126}
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Order: {107, 113, 120, 126, 126, 128}
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Mean: Sum is 720. Divide by 6. $720 \div 6 =$
120
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Median: There are two middle numbers (120 and 126). Average them: $(120+126) \div 2 =$
123
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Mode: The number appearing most often is
126.
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Range: $128 - 107 =$
21
6) Data: {5.2, 4.9, 3.8, 3.4, 5.2, 4.5}
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Order: {3.4, 3.8, 4.5, 4.9, 5.2, 5.2}
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Mean: Sum is 27. Divide by 6. $27 \div 6 =$
4.5
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Median: Average the two middle numbers (4.5 and 4.9): $(4.5+4.9) \div 2 =$
4.7
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Mode: The number appearing most often is
5.2.
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Range: $5.2 - 3.4 =$
1.8
7) Data: {0.24, 0.5, 0.09, 0.73, 0.24}
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Order: {0.09, 0.24, 0.24, 0.5, 0.73}
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Mean: Sum is 1.8. Divide by 5. $1.8 \div 5 =$
0.36
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Median: The middle number is
0.24.
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Mode: The number appearing most often is
0.24.
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Range: $0.73 - 0.09 =$
0.64
8) Data: {2.9, 4.3, 3.5, 5.8, 2.9, 4.6}
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Order: {2.9, 2.9, 3.5, 4.3, 4.6, 5.8}
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Mean: Sum is 24. Divide by 6. $24 \div 6 =$
4
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Median: Average the two middle numbers (3.5 and 4.3): $(3.5+4.3) \div 2 =$
3.9
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Mode: The number appearing most often is
2.9.
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Range: $5.8 - 2.9 =$
2.9
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Final Answer:
1) Order: {25, 32, 34, 34, 35, 37, 41}, Mean: 34, Median: 34, Mode: 34, Range: 16
2) Order: {91, 95, 99, 102, 102, 107, 111}, Mean: 101, Median: 102, Mode: 102, Range: 20
3) Order: {1.3, 1.5, 2.2, 2.2, 2.8}, Mean: 2, Median: 2.2, Mode: 2.2, Range: 1.5
4) Order: {0, 0.2, 0.3, 0.4, 0.8, 0.9, 0.9}, Mean: 0.5, Median: 0.4, Mode: 0.9, Range: 0.9
5) Order: {107, 113, 120, 126, 126, 128}, Mean: 120, Median: 123, Mode: 126, Range: 21
6) Order: {3.4, 3.8, 4.5, 4.9, 5.2, 5.2}, Mean: 4.5, Median: 4.7, Mode: 5.2, Range: 1.8
7) Order: {0.09, 0.24, 0.24, 0.5, 0.73}, Mean: 0.36, Median: 0.24, Mode: 0.24, Range: 0.64
8) Order: {2.9, 2.9, 3.5, 4.3, 4.6, 5.8}, Mean: 4, Median: 3.9, Mode: 2.9, Range: 2.9
Parent Tip: Review the logic above to help your child master the concept of mean median mode range printable worksheet.
