Statistics worksheet with four sets of numbers to calculate statistical measures.

Here are the step-by-step solutions for each set of numbers.

Set 1: { 3, 5, 10, 8, 7, 6, 4, 3, 2 }

First, let's put the numbers in order from smallest to largest to make it easier:
2, 3, 3, 4, 5, 6, 7, 8, 10

* Minimum: The smallest number is 2.
* Maximum: The largest number is 10.
* Mean (Average): Add all the numbers together and divide by how many there are (9 numbers).
* $2 + 3 + 3 + 4 + 5 + 6 + 7 + 8 + 10 = 48$
* $48 \div 9 = 5.33$ (rounded)
* Median: The middle number. Since there are 9 numbers, the 5th number is the middle one.
* Counting in: 2, 3, 3, 4, 5, 6, 7, 8, 10. The median is 5.
* Mode: The number that appears most often.
* The number 3 appears twice. All others appear once. So, the mode is 3.
* Range: Subtract the minimum from the maximum.
* $10 - 2 =$ 8

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Set 2: { 1, 10, 8, 4, 5, 2, 1, 4, 1, 6 }

Order the numbers from smallest to largest:
1, 1, 1, 2, 4, 4, 5, 6, 8, 10

* Minimum: The smallest number is 1.
* Maximum: The largest number is 10.
* Mean (Average): Add them up (10 numbers total).
* $1 + 1 + 1 + 2 + 4 + 4 + 5 + 6 + 8 + 10 = 42$
* $42 \div 10 =$ 4.2
* Median: The middle number. There are 10 numbers (an even amount), so we take the two middle numbers (the 5th and 6th) and average them.
* The middle numbers are 4 and 4.
* $(4 + 4) \div 2 =$ 4
* Mode: The number that appears most often.
* The number 1 appears three times. (4 appears twice). So, the mode is 1.
* Range: Subtract minimum from maximum.
* $10 - 1 =$ 9

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Set 3: { 2, 7, 10, 5, 1, 6, 8, 1, 10, 1 }

Order the numbers from smallest to largest:
1, 1, 1, 2, 5, 6, 7, 8, 10, 10

* Minimum: The smallest number is 1.
* Maximum: The largest number is 10.
* Mean (Average): Add them up (10 numbers total).
* $1 + 1 + 1 + 2 + 5 + 6 + 7 + 8 + 10 + 10 = 51$
* $51 \div 10 =$ 5.1
* Median: The middle two numbers are the 5th and 6th numbers: 5 and 6.
* $(5 + 6) \div 2 =$ 5.5
* Mode: The number that appears most often.
* The number 1 appears three times. So, the mode is 1.
* Range: Subtract minimum from maximum.
* $10 - 1 =$ 9

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Set 4: { 10, 2, 6, 9, 7, 6, 4, 2, 5, 5 }

Order the numbers from smallest to largest:
2, 2, 4, 5, 5, 6, 6, 7, 9, 10

* Minimum: The smallest number is 2.
* Maximum: The largest number is 10.
* Mean (Average): Add them up (10 numbers total).
* $2 + 2 + 4 + 5 + 5 + 6 + 6 + 7 + 9 + 10 = 56$
* $56 \div 10 =$ 5.6
* Median: The middle two numbers are the 5th and 6th numbers: 5 and 6.
* $(5 + 6) \div 2 =$ 5.5
* Mode: Look for the most frequent number.
* 2 appears twice.
* 5 appears twice.
* 6 appears twice.
* Since they all appear the same amount of times (twice), this set has multiple modes: 2, 5, and 6.
* Range: Subtract minimum from maximum.
* $10 - 2 =$ 8

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Final Answer:

1. { 3, 5, 10, 8, 7, 6, 4, 3, 2 }
* Minimum: 2
* Maximum: 10
* Mean: 5.33
* Median: 5
* Mode: 3
* Range: 8

2. { 1, 10, 8, 4, 5, 2, 1, 4, 1, 6 }
* Minimum: 1
* Maximum: 10
* Mean: 4.2
* Median: 4
* Mode: 1
* Range: 9

3. { 2, 7, 10, 5, 1, 6, 8, 1, 10, 1 }
* Minimum: 1
* Maximum: 10
* Mean: 5.1
* Median: 5.5
* Mode: 1
* Range: 9

4. { 10, 2, 6, 9, 7, 6, 4, 2, 5, 5 }
* Minimum: 2
* Maximum: 10
* Mean: 5.6
* Median: 5.5
* Mode: 2, 5, 6
* Range: 8