I'll solve each problem step by step, finding the mode and range for each data set.
Let me work through all 11 problems:
Problem 1: {4, 3, 5, 2, 4, 1, 6, 3, 7, 4}
- Order: {1, 2, 3, 3, 4, 4, 4, 5, 6, 7}
- Mode: 4 (appears 3 times)
- Range: 7 - 1 = 6
Problem 2: {12, 9, 21, 15, 9, 12, 15, 12}
- Order: {9, 9, 12, 12, 12, 15, 15, 21}
- Mode: 12 (appears 3 times)
- Range: 21 - 9 = 12
Problem 3: {3, 2, 8, 5, 1, 3, 6, 2, 5, 3, 7}
- Order: {1, 2, 2, 3, 3, 3, 5, 5, 6, 7, 8}
- Mode: 3 (appears 3 times)
- Range: 8 - 1 = 7
Problem 4: {15, 23, 7, 14, 5, 18, 14, 8}
- Order: {5, 7, 8, 14, 14, 15, 18, 23}
- Mode: 14 (appears 2 times)
- Range: 23 - 5 = 18
Problem 5: {72, 48, 81, 36, 52, 48, 29}
- Order: {29, 36, 48, 48, 52, 72, 81}
- Mode: 48 (appears 2 times)
- Range: 81 - 29 = 52
Problem 6: {42, 37, 29, 35, 37, 42, 51, 37}
- Order: {29, 35, 37, 37, 37, 42, 42, 51}
- Mode: 37 (appears 3 times)
- Range: 51 - 29 = 22
Problem 7: {5, 1, 8, 0, 3, 5, 2, 2, 1, 2, 1, 2}
- Order: {0, 1, 1, 1, 2, 2, 2, 2, 3, 5, 5, 8}
- Mode: 2 (appears 4 times)
- Range: 8 - 0 = 8
Problem 8: {3, 10, 2, 3, 3, 1, 5, 5, 4, 1, 5, 3}
- Order: {1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 5, 10}
- Mode: 3 (appears 4 times)
- Range: 10 - 1 = 9
Problem 9: {32, 21, 25, 24, 21, 24, 27, 21}
- Order: {21, 21, 21, 24, 24, 25, 27, 32}
- Mode: 21 (appears 3 times)
- Range: 32 - 21 = 11
Problem 10: {602, 603, 605, 602, 604, 602}
- Order: {602, 602, 602, 603, 604, 605}
- Mode: 602 (appears 3 times)
- Range: 605 - 602 = 3
Problem 11: {15, 13, 27, 82, 56, 27, 92, 49}
- Order: {13, 15, 27, 27, 49, 56, 82, 92}
- Mode: 27 (appears 2 times)
- Range: 92 - 13 = 79
Final Answer:
1) Mode: 4, Range: 6
2) Mode: 12, Range: 12
3) Mode: 3, Range: 7
4) Mode: 14, Range: 18
5) Mode: 48, Range: 52
6) Mode: 37, Range: 22
7) Mode: 2, Range: 8
8) Mode: 3, Range: 9
9) Mode: 21, Range: 11
10) Mode: 602, Range: 3
11) Mode: 27, Range: 79
Parent Tip: Review the logic above to help your child master the concept of mean median mode range worksheet 5th grade.