Let's solve each of the problems on the worksheet step by step, following the method shown in the example:
---
Problem 1: Mean Height of Children
Given heights:
- Sam: 146 cm
- Sarah: 126 cm
- Paul: 144 cm
- Olivia: 156 cm
- George: 132 cm
- Dev: 142 cm
Step 1: Add all the heights together.
$$
146 + 126 + 144 + 156 + 132 + 142 = ?
$$
Let’s add them step by step:
- 146 + 126 = 272
- 272 + 144 = 416
- 416 + 156 = 572
- 572 + 132 = 704
- 704 + 142 =
846
So, total height =
846 cm
Step 2: Divide by the number of children (6).
$$
\frac{846}{6} = 141
$$
✔ Mean height = 141 cm
---
Problem 2: Mean Number of Goals Scored by Real Madrid
Goals scored in 10 games:
2, 3, 4, 3, 3, 1, 0, 6, 3, 2
Step 1: Add all the goals.
$$
2 + 3 + 4 + 3 + 3 + 1 + 0 + 6 + 3 + 2 = ?
$$
Add step by step:
- 2 + 3 = 5
- 5 + 4 = 9
- 9 + 3 = 12
- 12 + 3 = 15
- 15 + 1 = 16
- 16 + 0 = 16
- 16 + 6 = 22
- 22 + 3 = 25
- 25 + 2 =
27
Total goals =
27
Step 2: Divide by number of games (10).
$$
\frac{27}{10} = 2.7
$$
✔ Mean number of goals per game = 2.7 goals (to one decimal place)
---
Problem 3: Mean Shopping Amount
Amounts spent:
£34.65, £27.70, £45.02, £56.35, £28.88
Step 1: Add all amounts.
$$
34.65 + 27.70 + 45.02 + 56.35 + 28.88 = ?
$$
Add step by step:
- 34.65 + 27.70 = 62.35
- 62.35 + 45.02 = 107.37
- 107.37 + 56.35 = 163.72
- 163.72 + 28.88 =
192.60
Total amount spent =
£192.60
Step 2: Divide by number of shopping trips (5).
$$
\frac{192.60}{5} = 38.52
$$
✔ Mean amount spent = £38.52
---
✔ Final Answers:
1.
Mean height =
141 cm
2.
Mean goals per game =
2.7 goals
3.
Mean shopping amount =
£38.52
You can now fill these into the boxes on the worksheet.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of finding the mean worksheet.
