Let’s solve each problem step by step.
We need to find:
-
Range = biggest number – smallest number
-
Median = middle number when numbers are in order (if even count, average the two middle ones)
-
Mode = number that appears most often
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Problem 1: 3, 5, 6, 9, 5
Step 1: Order them → 3, 5, 5, 6, 9
Step 2: Range = 9 – 3 =
6
Step 3: Median = middle number → 5th number? Wait, there are 5 numbers → 3rd one is median →
5
Step 4: Mode = which repeats? 5 appears twice →
5
✔ Problem 1: Range=6, Median=5, Mode=5
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Problem 2: 11, 14, 10, 11, 21
Step 1: Order → 10, 11, 11, 14, 21
Step 2: Range = 21 – 10 =
11
Step 3: Median = 3rd number →
11
Step 4: Mode = 11 appears twice →
11
✔ Problem 2: Range=11, Median=11, Mode=11
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Problem 3: 8, 12, 7, 10, 8, 9, 11
Step 1: Order → 7, 8, 8, 9, 10, 11, 12
Step 2: Range = 12 – 7 =
5
Step 3: Median = 4th number (7 total) →
9
Step 4: Mode = 8 appears twice →
8
✔ Problem 3: Range=5, Median=9, Mode=8
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Problem 4: 11, 8, 8, 7, 11, 8, 9
Step 1: Order → 7, 8, 8, 8, 9, 11, 11
Step 2: Range = 11 – 7 =
4
Step 3: Median = 4th number →
8
Step 4: Mode = 8 appears three times →
8
✔ Problem 4: Range=4, Median=8, Mode=8
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Problem 5: 9, 5, 6, 4, 5, 7, 6, 8, 5
Step 1: Order → 4, 5, 5, 5, 6, 6, 7, 8, 9
Step 2: Range = 9 – 4 =
5
Step 3: Median = 5th number (9 total) →
6
Step 4: Mode = 5 appears three times →
5
✔ Problem 5: Range=5, Median=6, Mode=5
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Final Answer:
1. Range: 6, Median: 5, Mode: 5
2. Range: 11, Median: 11, Mode: 11
3. Range: 5, Median: 9, Mode: 8
4. Range: 4, Median: 8, Mode: 8
5. Range: 5, Median: 6, Mode: 5
Parent Tip: Review the logic above to help your child master the concept of mode median range worksheet.