Here are the step-by-step solutions to find the median for each problem.
How to find the Median:
1.
Order the numbers: Arrange them from smallest to largest.
2.
Find the middle:
* If there is an
odd amount of numbers (like 7 or 9), the median is the single number exactly in the middle.
* If there is an
even amount of numbers (like 6, 8, or 10), take the two middle numbers, add them together, and divide by 2.
---
1) Set: 23, 37, 11, 58, 13, 45
*
Step 1: Order them: 11, 13, 23, 37, 45, 58.
*
Step 2: There are 6 numbers (even). The middle two are 23 and 37.
*
Step 3: Calculate average: $(23 + 37) \div 2 = 60 \div 2 = 30$.
*
Median: 30
2) Set: 85, 42, 64, 71, 39, 56, 26
*
Step 1: Order them: 26, 39, 42, 56, 64, 71, 85.
*
Step 2: There are 7 numbers (odd). The middle one is the 4th number.
*
Median: 56
3) Set: 41, 13, 21, 83, 54, 37, 18, 66, 72
*
Step 1: Order them: 13, 18, 21, 37, 41, 54, 66, 72, 83.
*
Step 2: There are 9 numbers (odd). The middle one is the 5th number.
*
Median: 41
4) Set: 53, 22, 76, 46, 68, 32, 15, 29
*
Step 1: Order them: 15, 22, 29, 32, 46, 53, 68, 76.
*
Step 2: There are 8 numbers (even). The middle two are 32 and 46.
*
Step 3: Calculate average: $(32 + 46) \div 2 = 78 \div 2 = 39$.
*
Median: 39
5) Set: 17, 24, 8, 19, 6, 34, 10, 28, 48, 12
*
Step 1: Order them: 6, 8, 10, 12, 17, 19, 24, 28, 34, 48.
*
Step 2: There are 10 numbers (even). The middle two are 17 and 19.
*
Step 3: Calculate average: $(17 + 19) \div 2 = 36 \div 2 = 18$.
*
Median: 18
6) Set: 60, 52, 11, 29, 46, 9, 33
*
Step 1: Order them: 9, 11, 29, 33, 46, 52, 60.
*
Step 2: There are 7 numbers (odd). The middle one is the 4th number.
*
Median: 33
7) Temperatures: 48, 65, 60, 45, 54, 64, 70, 45
*
Step 1: Order them: 45, 45, 48, 54, 60, 64, 65, 70.
*
Step 2: There are 8 numbers (even). The middle two are 54 and 60.
*
Step 3: Calculate average: $(54 + 60) \div 2 = 114 \div 2 = 57$.
*
Median: 57°F
8) Pages: 25, 11, 9, 18, 21, 24, 16, 13, 30, 12
*
Step 1: Order them: 9, 11, 12, 13, 16, 18, 21, 24, 25, 30.
*
Step 2: There are 10 numbers (even). The middle two are 16 and 18.
*
Step 3: Calculate average: $(16 + 18) \div 2 = 34 \div 2 = 17$.
*
Median: 17
Final Answer:
1) 30
2) 56
3) 41
4) 39
5) 18
6) 33
7) 57°F
8) 17
Parent Tip: Review the logic above to help your child master the concept of mean median mode worksheet story problems.
