Math worksheet for calculating mean, median, mode, and range.
Math worksheet titled "Mean, Mode, Median, and Range" with ten problems requiring calculation of mean, median, mode, and range for given sets of numbers.
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Step-by-step solution for: Mean Mode Median Worksheets | Mean Mode Median and Range Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Mean Mode Median Worksheets | Mean Mode Median 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: Add them up ($6+6+6+7+7+7+7+8+9 = 63$). Divide by 9 numbers. $63 \div 9 = 7$.
* Median: The middle number is the 5th one: 7.
* Mode: The number that appears most often is 7 (appears 4 times).
* Range: Highest (9) minus Lowest (6) = 3.
2) Data: 8, 3, 6, 9, 7, 9
* Order: 3, 6, 7, 8, 9, 9
* Mean: Sum is 42. Divide by 6 numbers. $42 \div 6 = 7$.
* Median: The middle is between 7 and 8. Average them: $(7+8) \div 2 = 7.5$.
* Mode: The number appearing most is 9.
* 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. Divide by 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 3.
* Mode: 2, 3, 8, and 9 all appear twice. So, there is No Mode (or multimodal). Usually, in this context, we write "None".
* Range: $9 - 1 = 8$.
4) Data: 2, 4, 8, 3, 6, 7
* Order: 2, 3, 4, 6, 7, 8
* Mean: Sum is 30. Divide by 6 numbers. $30 \div 6 = 5$.
* Median: Middle is between 4 and 6. Average them: $(4+6) \div 2 = 5$.
* Mode: All numbers appear once. 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. Divide by 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 5.
* Mode: The number appearing most is 5.
* 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. Divide by 9 numbers. $54 \div 9 = 6$.
* Median: The middle number (5th one) is 7.
* Mode: 3, 8, and 9 all appear twice. No Mode (or multimodal).
* Range: $9 - 2 = 7$.
7) Data: 9, 3, 8, 5, 2, 9
* Order: 2, 3, 5, 8, 9, 9
* Mean: Sum is 36. Divide by 6 numbers. $36 \div 6 = 6$.
* Median: Middle is between 5 and 8. Average them: $(5+8) \div 2 = 6.5$.
* Mode: The number appearing most is 9.
* Range: $9 - 2 = 7$.
8) Data: 8, 2, 3, 4, 4, 3
* Order: 2, 3, 3, 4, 4, 8
* Mean: Sum is 24. Divide by 6 numbers. $24 \div 6 = 4$.
* Median: Middle is between 3 and 4. Average them: $(3+4) \div 2 = 3.5$.
* Mode: 3 and 4 both appear twice. No Mode (or bimodal).
* Range: $8 - 2 = 6$.
9) Data: 8, 6, 2, 5, 7, 8
* Order: 2, 5, 6, 7, 8, 8
* Mean: Sum is 36. Divide by 6 numbers. $36 \div 6 = 6$.
* Median: Middle is between 6 and 7. Average them: $(6+7) \div 2 = 6.5$.
* Mode: The number appearing most is 8.
* Range: $8 - 2 = 6$.
10) Data: 5, 3, 9, 7, 2, 4
* Order: 2, 3, 4, 5, 7, 9
* Mean: Sum is 30. Divide by 6 numbers. $30 \div 6 = 5$.
* Median: Middle is between 4 and 5. Average them: $(4+5) \div 2 = 4.5$.
* Mode: All numbers appear once. 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: None, 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: None, Range: 7
7) Mean: 6, Median: 6.5, Mode: 9, Range: 7
8) Mean: 4, Median: 3.5, Mode: None, 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: Add them up ($6+6+6+7+7+7+7+8+9 = 63$). Divide by 9 numbers. $63 \div 9 = 7$.
* Median: The middle number is the 5th one: 7.
* Mode: The number that appears most often is 7 (appears 4 times).
* Range: Highest (9) minus Lowest (6) = 3.
2) Data: 8, 3, 6, 9, 7, 9
* Order: 3, 6, 7, 8, 9, 9
* Mean: Sum is 42. Divide by 6 numbers. $42 \div 6 = 7$.
* Median: The middle is between 7 and 8. Average them: $(7+8) \div 2 = 7.5$.
* Mode: The number appearing most is 9.
* 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. Divide by 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 3.
* Mode: 2, 3, 8, and 9 all appear twice. So, there is No Mode (or multimodal). Usually, in this context, we write "None".
* Range: $9 - 1 = 8$.
4) Data: 2, 4, 8, 3, 6, 7
* Order: 2, 3, 4, 6, 7, 8
* Mean: Sum is 30. Divide by 6 numbers. $30 \div 6 = 5$.
* Median: Middle is between 4 and 6. Average them: $(4+6) \div 2 = 5$.
* Mode: All numbers appear once. 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. Divide by 9 numbers. $45 \div 9 = 5$.
* Median: The middle number (5th one) is 5.
* Mode: The number appearing most is 5.
* 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. Divide by 9 numbers. $54 \div 9 = 6$.
* Median: The middle number (5th one) is 7.
* Mode: 3, 8, and 9 all appear twice. No Mode (or multimodal).
* Range: $9 - 2 = 7$.
7) Data: 9, 3, 8, 5, 2, 9
* Order: 2, 3, 5, 8, 9, 9
* Mean: Sum is 36. Divide by 6 numbers. $36 \div 6 = 6$.
* Median: Middle is between 5 and 8. Average them: $(5+8) \div 2 = 6.5$.
* Mode: The number appearing most is 9.
* Range: $9 - 2 = 7$.
8) Data: 8, 2, 3, 4, 4, 3
* Order: 2, 3, 3, 4, 4, 8
* Mean: Sum is 24. Divide by 6 numbers. $24 \div 6 = 4$.
* Median: Middle is between 3 and 4. Average them: $(3+4) \div 2 = 3.5$.
* Mode: 3 and 4 both appear twice. No Mode (or bimodal).
* Range: $8 - 2 = 6$.
9) Data: 8, 6, 2, 5, 7, 8
* Order: 2, 5, 6, 7, 8, 8
* Mean: Sum is 36. Divide by 6 numbers. $36 \div 6 = 6$.
* Median: Middle is between 6 and 7. Average them: $(6+7) \div 2 = 6.5$.
* Mode: The number appearing most is 8.
* Range: $8 - 2 = 6$.
10) Data: 5, 3, 9, 7, 2, 4
* Order: 2, 3, 4, 5, 7, 9
* Mean: Sum is 30. Divide by 6 numbers. $30 \div 6 = 5$.
* Median: Middle is between 4 and 5. Average them: $(4+5) \div 2 = 4.5$.
* Mode: All numbers appear once. 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: None, 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: None, Range: 7
7) Mean: 6, Median: 6.5, Mode: 9, Range: 7
8) Mean: 4, Median: 3.5, Mode: None, 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 finding the median worksheet for 4th grade.
