In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.
What is the mode of the number of children.

Options

A. 4
B. 8
C. 5
D. 3

Answer

To find the mode of the number of children in the given colony, we need to analyze the data provided about the families and their children. Here’s a step-by-step solution:

### Step 1: Gather the data
We have the following information about the families:
- 5 families have 1 child
- 7 families have 2 children
- 8 families have 3 children
- 3 families have 4 children

### Step 2: Create a frequency table
We can summarize the data in a frequency table:

| Number of Children | Number of Families |
|--------------------|--------------------|
| 1 | 5 |
| 2 | 7 |
| 3 | 8 |
| 4 | 3 |

### Step 3: Calculate the total number of children for each category
Now, we will calculate the total number of children for each category:
- For 1 child: \( 1 \times 5 = 5 \)
- For 2 children: \( 2 \times 7 = 14 \)
- For 3 children: \( 3 \times 8 = 24 \)
- For 4 children: \( 4 \times 3 = 12 \)

### Step 4: Summarize the total number of children
Now we can summarize the total number of children:

- Total children with 1 child = 5
- Total children with 2 children = 14
- Total children with 3 children = 24
- Total children with 4 children = 12

### Step 5: Identify the mode
The mode is the number that appears most frequently in a data set. From our frequency table, we can see:
- 5 families have 1 child
- 7 families have 2 children
- 8 families have 3 children (highest frequency)
- 3 families have 4 children

The highest frequency is for families with 3 children, which is 8 families.

### Conclusion
Thus, the mode of the number of children is **3**.