Mean, Median, Mode and Range Worksheets - Free Printable
Educational worksheet: Mean, Median, Mode and Range Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Mean, Median, Mode and Range Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Mean, Median, Mode and Range Worksheets
Here are the step-by-step solutions for each problem on the worksheet.
1) Data: 7, 6, 9, 8, 6, 7, 7, 7, 6
* Order: 6, 6, 6, 7, 7, 7, 7, 8, 9
* Mean: Sum is 63. There are 9 numbers. $63 \div 9 = 7$.
* Median: The middle number (5th one) is 7.
* Mode: The number 7 appears most often (4 times).
* Range: $9 - 6 = 3$.
2) Data: 8, 3, 6, 9, 7, 9
* Order: 3, 6, 7, 8, 9, 9
* Mean: Sum is 42. There are 6 numbers. $42 \div 6 = 7$.
* Median: The middle two numbers are 7 and 8. Average is $(7+8) \div 2 = 7.5$.
* Mode: The number 9 appears most often (2 times).
* Range: $9 - 3 = 6$.
3) Data: 8, 9, 9, 8, 2, 3, 2, 3, 1
* Order: 1, 2, 2, 3, 3, 8, 8, 9, 9
* Mean: Sum is 45. There are 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 3.
* Mode: 2, 3, 8, and 9 all appear twice. They are all modes.
* Range: $9 - 1 = 8$.
4) Data: 2, 4, 8, 3, 6, 7
* Order: 2, 3, 4, 6, 7, 8
* Mean: Sum is 30. There are 6 numbers. $30 \div 6 = 5$.
* Median: The middle two numbers are 4 and 6. Average is $(4+6) \div 2 = 5$.
* Mode: No number repeats. There is no mode.
* Range: $8 - 2 = 6$.
5) Data: 6, 3, 9, 5, 7, 2, 5, 5, 3
* Order: 2, 3, 3, 5, 5, 5, 6, 7, 9
* Mean: Sum is 45. There are 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 5.
* Mode: The number 5 appears most often (3 times).
* Range: $9 - 2 = 7$.
6) Data: 8, 9, 5, 8, 3, 7, 3, 9, 2
* Order: 2, 3, 3, 5, 7, 8, 8, 9, 9
* Mean: Sum is 54. There are 9 numbers. $54 \div 9 = 6$.
* Median: The middle number (5th one) is 7.
* Mode: 3, 8, and 9 all appear twice. They are all modes.
* Range: $9 - 2 = 7$.
7) Data: 9, 3, 8, 5, 2, 9
* Order: 2, 3, 5, 8, 9, 9
* Mean: Sum is 36. There are 6 numbers. $36 \div 6 = 6$.
* Median: The middle two numbers are 5 and 8. Average is $(5+8) \div 2 = 6.5$.
* Mode: The number 9 appears most often (2 times).
* Range: $9 - 2 = 7$.
8) Data: 8, 2, 3, 4, 4, 3
* Order: 2, 3, 3, 4, 4, 8
* Mean: Sum is 24. There are 6 numbers. $24 \div 6 = 4$.
* Median: The middle two numbers are 3 and 4. Average is $(3+4) \div 2 = 3.5$.
* Mode: 3 and 4 both appear twice. They are both modes.
* Range: $8 - 2 = 6$.
9) Data: 8, 6, 2, 5, 7, 8
* Order: 2, 5, 6, 7, 8, 8
* Mean: Sum is 36. There are 6 numbers. $36 \div 6 = 6$.
* Median: The middle two numbers are 6 and 7. Average is $(6+7) \div 2 = 6.5$.
* Mode: The number 8 appears most often (2 times).
* Range: $8 - 2 = 6$.
10) Data: 5, 3, 9, 7, 2, 4
* Order: 2, 3, 4, 5, 7, 9
* Mean: Sum is 30. There are 6 numbers. $30 \div 6 = 5$.
* Median: The middle two numbers are 4 and 5. Average is $(4+5) \div 2 = 4.5$.
* Mode: No number repeats. There is no mode.
* Range: $9 - 2 = 7$.
Final Answer:
1) Mean: 7, Median: 7, Mode: 7, Range: 3
2) Mean: 7, Median: 7.5, Mode: 9, Range: 6
3) Mean: 5, Median: 3, Mode: 2, 3, 8, 9, Range: 8
4) Mean: 5, Median: 5, Mode: None, Range: 6
5) Mean: 5, Median: 5, Mode: 5, Range: 7
6) Mean: 6, Median: 7, Mode: 3, 8, 9, Range: 7
7) Mean: 6, Median: 6.5, Mode: 9, Range: 7
8) Mean: 4, Median: 3.5, Mode: 3, 4, Range: 6
9) Mean: 6, Median: 6.5, Mode: 8, Range: 6
10) Mean: 5, Median: 4.5, Mode: None, Range: 7
1) Data: 7, 6, 9, 8, 6, 7, 7, 7, 6
* Order: 6, 6, 6, 7, 7, 7, 7, 8, 9
* Mean: Sum is 63. There are 9 numbers. $63 \div 9 = 7$.
* Median: The middle number (5th one) is 7.
* Mode: The number 7 appears most often (4 times).
* Range: $9 - 6 = 3$.
2) Data: 8, 3, 6, 9, 7, 9
* Order: 3, 6, 7, 8, 9, 9
* Mean: Sum is 42. There are 6 numbers. $42 \div 6 = 7$.
* Median: The middle two numbers are 7 and 8. Average is $(7+8) \div 2 = 7.5$.
* Mode: The number 9 appears most often (2 times).
* Range: $9 - 3 = 6$.
3) Data: 8, 9, 9, 8, 2, 3, 2, 3, 1
* Order: 1, 2, 2, 3, 3, 8, 8, 9, 9
* Mean: Sum is 45. There are 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 3.
* Mode: 2, 3, 8, and 9 all appear twice. They are all modes.
* Range: $9 - 1 = 8$.
4) Data: 2, 4, 8, 3, 6, 7
* Order: 2, 3, 4, 6, 7, 8
* Mean: Sum is 30. There are 6 numbers. $30 \div 6 = 5$.
* Median: The middle two numbers are 4 and 6. Average is $(4+6) \div 2 = 5$.
* Mode: No number repeats. There is no mode.
* Range: $8 - 2 = 6$.
5) Data: 6, 3, 9, 5, 7, 2, 5, 5, 3
* Order: 2, 3, 3, 5, 5, 5, 6, 7, 9
* Mean: Sum is 45. There are 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 5.
* Mode: The number 5 appears most often (3 times).
* Range: $9 - 2 = 7$.
6) Data: 8, 9, 5, 8, 3, 7, 3, 9, 2
* Order: 2, 3, 3, 5, 7, 8, 8, 9, 9
* Mean: Sum is 54. There are 9 numbers. $54 \div 9 = 6$.
* Median: The middle number (5th one) is 7.
* Mode: 3, 8, and 9 all appear twice. They are all modes.
* Range: $9 - 2 = 7$.
7) Data: 9, 3, 8, 5, 2, 9
* Order: 2, 3, 5, 8, 9, 9
* Mean: Sum is 36. There are 6 numbers. $36 \div 6 = 6$.
* Median: The middle two numbers are 5 and 8. Average is $(5+8) \div 2 = 6.5$.
* Mode: The number 9 appears most often (2 times).
* Range: $9 - 2 = 7$.
8) Data: 8, 2, 3, 4, 4, 3
* Order: 2, 3, 3, 4, 4, 8
* Mean: Sum is 24. There are 6 numbers. $24 \div 6 = 4$.
* Median: The middle two numbers are 3 and 4. Average is $(3+4) \div 2 = 3.5$.
* Mode: 3 and 4 both appear twice. They are both modes.
* Range: $8 - 2 = 6$.
9) Data: 8, 6, 2, 5, 7, 8
* Order: 2, 5, 6, 7, 8, 8
* Mean: Sum is 36. There are 6 numbers. $36 \div 6 = 6$.
* Median: The middle two numbers are 6 and 7. Average is $(6+7) \div 2 = 6.5$.
* Mode: The number 8 appears most often (2 times).
* Range: $8 - 2 = 6$.
10) Data: 5, 3, 9, 7, 2, 4
* Order: 2, 3, 4, 5, 7, 9
* Mean: Sum is 30. There are 6 numbers. $30 \div 6 = 5$.
* Median: The middle two numbers are 4 and 5. Average is $(4+5) \div 2 = 4.5$.
* Mode: No number repeats. There is no mode.
* Range: $9 - 2 = 7$.
Final Answer:
1) Mean: 7, Median: 7, Mode: 7, Range: 3
2) Mean: 7, Median: 7.5, Mode: 9, Range: 6
3) Mean: 5, Median: 3, Mode: 2, 3, 8, 9, Range: 8
4) Mean: 5, Median: 5, Mode: None, Range: 6
5) Mean: 5, Median: 5, Mode: 5, Range: 7
6) Mean: 6, Median: 7, Mode: 3, 8, 9, Range: 7
7) Mean: 6, Median: 6.5, Mode: 9, Range: 7
8) Mean: 4, Median: 3.5, Mode: 3, 4, Range: 6
9) Mean: 6, Median: 6.5, Mode: 8, Range: 6
10) Mean: 5, Median: 4.5, Mode: None, Range: 7
Parent Tip: Review the logic above to help your child master the concept of mean median mode worksheets pdf.
