Here are the step-by-step solutions for each set of numbers.
a. 4, 4, 3, 9, 5
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Mean: Add the numbers: $4 + 4 + 3 + 9 + 5 = 25$. Divide by the count (5): $25 \div 5 = 5$.
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Median: Order the numbers: 3, 4,
4, 5, 9. The middle number is 4.
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Mode: The number 4 appears twice. No other number repeats. The mode is 4.
b. 8, 4, 5, 8, 5, 4, 8
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Mean: Add the numbers: $8 + 4 + 5 + 8 + 5 + 4 + 8 = 42$. Divide by the count (7): $42 \div 7 = 6$.
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Median: Order the numbers: 4, 4, 5,
5, 8, 8, 8. The middle number is 5.
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Mode: The number 8 appears three times. The number 5 appears twice. The number 4 appears twice. The most frequent is 8.
c. 10, 13, 11, 12, 13
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Mean: Add the numbers: $10 + 13 + 11 + 12 + 13 = 59$. Divide by the count (5): $59 \div 5 = 11.8$.
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Median: Order the numbers: 10, 11,
12, 13, 13. The middle number is 12.
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Mode: The number 13 appears twice. The mode is 13.
d. 5, 12, 13, 16, 12, 14, 12, 5, 10
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Mean: Add the numbers: $5 + 12 + 13 + 16 + 12 + 14 + 12 + 5 + 10 = 99$. Divide by the count (9): $99 \div 9 = 11$.
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Median: Order the numbers: 5, 5, 10, 12,
12, 12, 13, 14, 16. The middle number is 12.
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Mode: The number 12 appears three times. The mode is 12.
e. 15, 18, 19, 20, 22, 24, 22
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Mean: Add the numbers: $15 + 18 + 19 + 20 + 22 + 24 + 22 = 140$. Divide by the count (7): $140 \div 7 = 20$.
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Median: Order the numbers: 15, 18, 19,
20, 22, 22, 24. The middle number is 20.
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Mode: The number 22 appears twice. The mode is 22.
f. 42, 34, 36, 24, 34
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Mean: Add the numbers: $42 + 34 + 36 + 24 + 34 = 170$. Divide by the count (5): $170 \div 5 = 34$.
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Median: Order the numbers: 24, 34,
34, 36, 42. The middle number is 34.
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Mode: The number 34 appears twice. The mode is 34.
Final Answer:
a. Mean: 5, Median: 4, Mode: 4
b. Mean: 6, Median: 5, Mode: 8
c. Mean: 11.8, Median: 12, Mode: 13
d. Mean: 11, Median: 12, Mode: 12
e. Mean: 20, Median: 20, Mode: 22
f. Mean: 34, Median: 34, Mode: 34
Parent Tip: Review the logic above to help your child master the concept of mean median mode answers.
