Let’s solve each data set one by one to find the median.
Remember: The
median is the middle number when the numbers are arranged in order (from smallest to largest).
- If there’s an
odd number of values, the median is the one right in the middle.
- If there’s an
even number of values, the median is the average (mean) of the two middle numbers.
---
First row:
Left: 2, 2, 4, 4, 4, 2
→ Rearrange: 2, 2, 2, 4, 4, 4 → 6 numbers (even)
Middle two: 3rd and 4th → 2 and 4 → Average = (2 + 4)/2 =
3
Right: 6, 3, 8, 5, 8
→ Rearrange: 3, 5, 6, 8, 8 → 5 numbers (odd)
Middle: 3rd →
6
---
Second row:
Left: 5, 6, 2, 4, 8, 5
→ Rearrange: 2, 4, 5, 5, 6, 8 → 6 numbers (even)
Middle two: 3rd and 4th → 5 and 5 → Average = (5 + 5)/2 =
5
Right: 8, 8, 5, 6, 5, 4
→ Rearrange: 4, 5, 5, 6, 8, 8 → 6 numbers (even)
Middle two: 3rd and 4th → 5 and 6 → Average = (5 + 6)/2 =
5.5
---
Third row:
Left: 7, 9, 3, 4, 4, 5, 3
→ Rearrange: 3, 3, 4, 4, 5, 7, 9 → 7 numbers (odd)
Middle: 4th →
4
Right: 4, 4, 6, 6, 5
→ Rearrange: 4, 4, 5, 6, 6 → 5 numbers (odd)
Middle: 3rd →
5
---
Fourth row:
Left: 6, 7, 3, 8, 1, 8, 9
→ Rearrange: 1, 3, 6, 7, 8, 8, 9 → 7 numbers (odd)
Middle: 4th →
7
Right: 1, 2, 7, 3, 8, 3
→ Rearrange: 1, 2, 3, 3, 7, 8 → 6 numbers (even)
Middle two: 3rd and 4th → 3 and 3 → Average = (3 + 3)/2 =
3
---
Fifth row:
Left: 7, 9, 3, 4, 4, 5, 3
→ Same as third row left → Rearrange: 3, 3, 4, 4, 5, 7, 9 → Middle: 4th →
4
Right: 4, 6, 5, 6, 3, 4, 7
→ Rearrange: 3, 4, 4, 5, 6, 6, 7 → 7 numbers (odd)
Middle: 4th →
5
---
Final Answer:
Left column medians:
3, 5, 4, 7, 4
Right column medians:
6, 5.5, 5, 3, 5
Parent Tip: Review the logic above to help your child master the concept of finding the median worksheet.
