Task 1: Interpret the Data from the Two-Way Table for Liverpool Police Station
The two-way table shows the staff at Liverpool police station categorized by gender and rank. Here is the table for reference:
| | Male | Female | Total |
|-----------|------|--------|-------|
| Constable | 55 | 24 | 79 |
| Sergeant | 8 | 5 | 13 |
| Inspector | 2 | 4 | 6 |
| Chief Inspector | 1 | 1 | 2 |
|
Total | 66 | 34 | 100 |
#### Questions and Solutions:
1.
How many male sergeants are there?
- From the table, under the "Sergeant" row and "Male" column, we see the value
8.
-
Answer: 8
2.
How many female inspectors are there?
- From the table, under the "Inspector" row and "Female" column, we see the value
4.
-
Answer: 4
3.
How many constables are there?
- From the table, under the "Constable" row and "Total" column, we see the value
79.
-
Answer: 79
4.
How many people work at Liverpool police station?
- The total number of people working at the police station is given in the bottom-right corner of the table, which is
100.
-
Answer: 100
5.
How many male inspectors and female constables are there, altogether?
- Number of male inspectors: From the "Inspector" row and "Male" column, we see
2.
- Number of female constables: From the "Constable" row and "Female" column, we see
24.
- Total: \( 2 + 24 = 26 \).
-
Answer: 26
---
Task 2: Complete the Two-Way Table for Eye Color Data
The two-way table shows the results of a survey where boys and girls were asked about their eye color. Here is the partially filled table for reference:
| | Blue eyes | Brown eyes | Total |
|-----------|-----------|------------|-------|
| Boys | 7 | 12 | |
| Girls | 9 | 10 | |
|
Total | | | |
#### Step 1: Fill in the Totals for Each Row
-
Boys' Total: Add the number of boys with blue eyes and brown eyes.
\[
7 + 12 = 19
\]
-
Girls' Total: Add the number of girls with blue eyes and brown eyes.
\[
9 + 10 = 19
\]
#### Step 2: Fill in the Totals for Each Column
-
Blue Eyes Total: Add the number of boys and girls with blue eyes.
\[
7 + 9 = 16
\]
-
Brown Eyes Total: Add the number of boys and girls with brown eyes.
\[
12 + 10 = 22
\]
#### Step 3: Fill in the Grand Total
- The grand total is the sum of all individuals surveyed, which is also the sum of the totals for either rows or columns.
\[
19 + 19 = 38 \quad \text{or} \quad 16 + 22 = 38
\]
#### Completed Table:
| | Blue eyes | Brown eyes | Total |
|-----------|-----------|------------|-------|
| Boys | 7 | 12 | 19 |
| Girls | 9 | 10 | 19 |
|
Total | 16 | 22 | 38 |
#### Questions and Solutions:
1.
How many boys had blue eyes?
- From the completed table, under the "Boys" row and "Blue eyes" column, we see the value
7.
-
Answer: 7
2.
How many girls had brown eyes?
- From the completed table, under the "Girls" row and "Brown eyes" column, we see the value
10.
-
Answer: 10
3.
How many people had brown eyes?
- From the completed table, under the "Brown eyes" column and "Total" row, we see the value
22.
-
Answer: 22
---
Final Answers:
1.
Task 1:
- How many male sergeants are there?
8
- How many female inspectors are there?
4
- How many constables are there?
79
- How many people work at Liverpool police station?
100
- How many male inspectors and female constables are there, altogether?
26
2.
Task 2:
- How many boys had blue eyes?
7
- How many girls had brown eyes?
10
- How many people had brown eyes?
22
Boxed Final Answers:
\[
\boxed{
\begin{array}{l}
\text{Task 1:} \\
1. 8 \\
2. 4 \\
3. 79 \\
4. 100 \\
5. 26 \\
\\
\text{Task 2:} \\
1. 7 \\
2. 10 \\
3. 22 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of data handling worksheet grade 4.
