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Question
a survey asks students how many children are in their household. complete the table to compute the average number of children per household. complete the table. (simplify your answers.)
Step1: Calculate product for each row
Product = Children × Frequency
For 0 children: $0×2=0$
For 1 child: $1×7=7$
For 2 children: $2×11=22$
For 3 children: $3×4=12$
For 4 children: $4×2=8$
For 5 children: $5×2=10$
Step2: Sum frequencies
Total frequency = $2+7+11+4+2+2=28$
Step3: Sum products
Total product = $0+7+22+12+8+10=59$
Step4: Compute average
Average = $\frac{\text{Total product}}{\text{Total frequency}} = \frac{59}{28}$
Completed Table:
| Children | Frequency | Product |
|---|---|---|
| 1 | 7 | 7 |
| 2 | 11 | 22 |
| 3 | 4 | 12 |
| 4 | 2 | 8 |
| 5 | 2 | 10 |
| Sum | 28 | 59 |
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Average number of children per household: $\frac{59}{28}$ (or approximately 2.11 if decimal is needed, but exact value is $\frac{59}{28}$)