Here are the step-by-step solutions for each set of numbers.
a. 3, 4, 9, 7, 7
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Mean: Add the numbers ($3+4+9+7+7 = 30$) and divide by how many there are (5). $30 \div 5 = 6$.
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Median: Put them in order: 3, 4,
7, 7, 9. The middle number is 7.
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Mode: The number that appears most often is 7.
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Range: Subtract the smallest from the largest: $9 - 3 = 6$.
b. 15, 3, 3
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Mean: Add the numbers ($15+3+3 = 21$) and divide by 3. $21 \div 3 = 7$.
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Median: Put them in order: 3,
3, 15. The middle number is 3.
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Mode: The number that appears most often is 3.
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Range: $15 - 3 = 12$.
c. 3, 0, 0, 2, 0
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Mean: Add the numbers ($3+0+0+2+0 = 5$) and divide by 5. $5 \div 5 = 1$.
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Median: Put them in order: 0, 0,
0, 2, 3. The middle number is 0.
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Mode: The number that appears most often is 0.
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Range: $3 - 0 = 3$.
d. 5, 6, 5, 2, 4, 5, 1
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Mean: Add the numbers ($5+6+5+2+4+5+1 = 28$) and divide by 7. $28 \div 7 = 4$.
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Median: Put them in order: 1, 2, 4,
5, 5, 5, 6. The middle number is 5.
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Mode: The number that appears most often is 5.
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Range: $6 - 1 = 5$.
e. 10, 6, 3, 10, 1
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Mean: Add the numbers ($10+6+3+10+1 = 30$) and divide by 5. $30 \div 5 = 6$.
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Median: Put them in order: 1, 3,
6, 10, 10. The middle number is 6.
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Mode: The number that appears most often is 10.
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Range: $10 - 1 = 9$.
f. 4, 4, 2, 6, 9, 3, 5
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Mean: Add the numbers ($4+4+2+6+9+3+5 = 33$) and divide by 7. $33 \div 7 \approx 4.71$.
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Median: Put them in order: 2, 3, 4,
4, 5, 6, 9. The middle number is 4.
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Mode: The number that appears most often is 4.
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Range: $9 - 2 = 7$.
Final Answer:
a. mean: 6, median: 7, mode: 7, range: 6
b. mean: 7, median: 3, mode: 3, range: 12
c. mean: 1, median: 0, mode: 0, range: 3
d. mean: 4, median: 5, mode: 5, range: 5
e. mean: 6, median: 6, mode: 10, range: 9
f. mean: 4.71, median: 4, mode: 4, range: 7
Parent Tip: Review the logic above to help your child master the concept of median and mode worksheet grade 4.
