Two way tables (1) - Statistics (Handling Data) for Year 5 (age 9 ... - Free Printable

Problem Analysis:

The worksheet contains two sections:
1. Two-way table for ice cream sales.
2. Table for favorite winter sports of girls and boys.

We will solve each part step by step.

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Section 1: Ice Cream Sales Table

The table shows the number of different ice creams sold in three sizes (Small, Medium, Large) and four flavors (Strawberry, Vanilla, Coffee, Chocolate).

#### Table:
| Size | Strawberry | Vanilla | Coffee | Chocolate |
|------------|------------|---------|--------|-----------|
| Small | 15 | 49 | 13 | 63 |
| Medium | 12 | 77 | 18 | 56 |
| Large | 8 | 35 | 7 | 28 |

#### Questions:

1. How many strawberry ice creams were sold?
- To find the total number of strawberry ice creams sold, we sum the values in the "Strawberry" column.
- Calculation: \( 15 + 12 + 8 = 35 \)
- Answer: 35

2. How many small ice creams were sold?
- To find the total number of small ice creams sold, we sum the values in the "Small" row.
- Calculation: \( 15 + 49 + 13 + 63 = 140 \)
- Answer: 140

3. How many more medium vanilla ice creams were sold than medium coffee ice creams?
- From the table:
- Medium Vanilla: 77
- Medium Coffee: 18
- Difference: \( 77 - 18 = 59 \)
- Answer: 59

4. How many more chocolate ice creams were sold than strawberry ice creams?
- First, calculate the total number of chocolate ice creams sold:
- Total Chocolate: \( 63 + 56 + 28 = 147 \)
- We already calculated the total number of strawberry ice creams sold as 35.
- Difference: \( 147 - 35 = 112 \)
- Answer: 112

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Section 2: Favorite Winter Sports Table

The table shows the favorite winter sports of girls and boys. We need to complete the missing values.

#### Table:
| | Football | Rugby | Hockey | Total |
|-----------|----------|-------|--------|-------|
| Girls | 12 | ? | 9 | 33 |
| Boys | ? | ? | ? | ? |
| Total | 30 | 18 | ? | 66 |

#### Steps to Complete the Table:

1. Find the number of girls who like Rugby:
- The total number of girls is 33.
- Girls playing Football: 12
- Girls playing Hockey: 9
- Calculation: \( 33 - 12 - 9 = 12 \)
- Girls who like Rugby: 12

2. Find the total number of boys:
- The total number of people is 66.
- Total number of girls is 33.
- Calculation: \( 66 - 33 = 33 \)
- Total number of boys: 33

3. Find the number of boys who like Football:
- Total Football players: 30
- Girls who like Football: 12
- Calculation: \( 30 - 12 = 18 \)
- Boys who like Football: 18

4. Find the number of boys who like Rugby:
- Total Rugby players: 18
- Girls who like Rugby: 12
- Calculation: \( 18 - 12 = 6 \)
- Boys who like Rugby: 6

5. Find the total number of Hockey players:
- Total Hockey players: \( 9 + ? = ? \)
- We know the total number of people is 66, and the total number of Football and Rugby players are given.
- Total Hockey players: \( 66 - (30 + 18) = 18 \)
- Total Hockey players: 18

6. Find the number of boys who like Hockey:
- Total Hockey players: 18
- Girls who like Hockey: 9
- Calculation: \( 18 - 9 = 9 \)
- Boys who like Hockey: 9

#### Completed Table:
| | Football | Rugby | Hockey | Total |
|-----------|----------|-------|--------|-------|
| Girls | 12 | 12 | 9 | 33 |
| Boys | 18 | 6 | 9 | 33 |
| Total | 30 | 18 | 18 | 66 |

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Final Answers:

1. How many strawberry ice creams were sold?
Answer: \(\boxed{35}\)

2. How many small ice creams were sold?
Answer: \(\boxed{140}\)

3. How many more medium vanilla ice creams were sold than medium coffee ice creams?
Answer: \(\boxed{59}\)

4. How many more chocolate ice creams were sold than strawberry ice creams?
Answer: \(\boxed{112}\)

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Completed Winter Sports Table:

| | Football | Rugby | Hockey | Total |
|-----------|----------|-------|--------|-------|
| Girls | 12 | 12 | 9 | 33 |
| Boys | 18 | 6 | 9 | 33 |
| Total | 30 | 18 | 18 | 66 |