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a survey asks students how many children are in their household. comple…

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.)

Explanation:

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:

ChildrenFrequencyProduct
177
21122
3412
428
5210
Sum2859

Answer:

Average number of children per household: $\frac{59}{28}$ (or approximately 2.11 if decimal is needed, but exact value is $\frac{59}{28}$)