How many children do women have?

In a survey, 46,252 women were asked how many children they had. The results were as follows:

[tex]\[
\begin{tabular}{|c|r|}
\hline
\text{Number of Children} & \text{Number of Women} \\
\hline
0 & 12,596 \\
1 & 7,462 \\
2 & 11,300 \\
3 & 7,073 \\
4 & 3,782 \\
5 & 1,811 \\
6 & 925 \\
7 & 530 \\
8 or more & 773 \\
\hline
\text{Total} & 46,252 \\
\hline
\end{tabular}
\][/tex]



Answer :

To answer the question, we need to determine two main aspects:
1. The total number of children reported by the 46,252 women.
2. The average number of children per woman.

Here's the step-by-step solution to calculate these values:

### Total Number of Children

To find the total number of children reported, we multiply the number of children each group of women has by the number of women in that group, and then sum up the results.

Let's break this down:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Number of Children} & \text{Number of Women} & \text{Total Children per Group} \\ \hline 0 & 12,596 & 0 \times 12,596 = 0 \\ 1 & 7,462 & 1 \times 7,462 = 7,462 \\ 2 & 11,300 & 2 \times 11,300 = 22,600 \\ 3 & 7,073 & 3 \times 7,073 = 21,219 \\ 4 & 3,782 & 4 \times 3,782 = 15,128 \\ 5 & 1,811 & 5 \times 1,811 = 9,055 \\ 6 & 925 & 6 \times 925 = 5,550 \\ 7 & 530 & 7 \times 530 = 3,710 \\ 8 & 773 & 8 \times 773 = 6,184 \\ \hline \end{array} \][/tex]

Now, summing up all the total children per group:

[tex]\[ 0 + 7,462 + 22,600 + 21,219 + 15,128 + 9,055 + 5,550 + 3,710 + 6,184 = 90,908 \][/tex]

So, the total number of children reported by the 46,252 women is 90,908.

### Average Number of Children per Woman

To find the average number of children per woman, we divide the total number of children by the total number of women:

[tex]\[ \text{Average number of children per woman} = \frac{\text{Total number of children}}{\text{Total number of women}} \][/tex]

Using the numbers we've calculated:

[tex]\[ \text{Average number of children per woman} = \frac{90,908}{46,252} \approx 1.965 \][/tex]

### Conclusion

1. The total number of children reported by the 46,252 women is 90,908.
2. The average number of children per woman is approximately 1.965.

This detailed step-by-step approach provides a clear method to arrive at the final answers.