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Math  /  Data & Statistics

Questionsuomit quiz
A survey asks students how many children are in their household. Complete the table to compute the average number of children per household. \begin{tabular}{|c|c|c|} \hline Children & Frequency & Product \\ \hline 0 & 3 & \\ \hline 1 & 8 & \\ \hline 2 & 10 & \\ \hline 3 & 4 & \\ \hline 4 & 2 & \\ \hline 5 & 1 & \\ \hline Sum & & \\ \hline \end{tabular}
Complete the table. (Simplify your answers.) \begin{tabular}{|c|c|c|} \hline Children & Frequency & Product \\ \hline 0 & 3 & □\square \\ \hline 1 & 8 & □\square \\ \hline 2 & 10 & □\square \\ \hline 3 & 4 & □\square \\ \hline 4 & 2 & □\square \\ \hline 5 & 1 & □\square \\ \hline Sum & □\square & □\square \\ \hline \end{tabular}
The average number of children per household is □\square (Type an integer or a simplified fraction.)

Studdy Solution

STEP 1

1. The table lists the number of children per household and the frequency of households with that number of children.
2. We need to calculate the "Product" for each row by multiplying the number of children by the corresponding frequency.
3. To find the average number of children per household, we sum the "Product" values and divide by the total frequency.

STEP 2

1. Calculate the Product for each row in the table.
2. Sum the Frequencies and Products.
3. Compute the average number of children per household.

STEP 3

Calculate the Product for the row where the number of children is 0.
Product=0×3=0 \text{Product} = 0 \times 3 = 0

STEP 4

Calculate the Product for the row where the number of children is 1.
Product=1×8=8 \text{Product} = 1 \times 8 = 8

STEP 5

Calculate the Product for the row where the number of children is 2.
Product=2×10=20 \text{Product} = 2 \times 10 = 20

STEP 6

Calculate the Product for the row where the number of children is 3.
Product=3×4=12 \text{Product} = 3 \times 4 = 12

STEP 7

Calculate the Product for the row where the number of children is 4.
Product=4×2=8 \text{Product} = 4 \times 2 = 8

STEP 8

Calculate the Product for the row where the number of children is 5.
Product=5×1=5 \text{Product} = 5 \times 1 = 5

STEP 9

Sum the Frequencies.
Total Frequency=3+8+10+4+2+1=28 \text{Total Frequency} = 3 + 8 + 10 + 4 + 2 + 1 = 28

STEP 10

Sum the Products.
Total Product=0+8+20+12+8+5=53 \text{Total Product} = 0 + 8 + 20 + 12 + 8 + 5 = 53

STEP 11

Compute the average number of children per household by dividing the Total Product by the Total Frequency.
Average=5328 \text{Average} = \frac{53}{28}
Simplify the fraction if possible.
Average=5328 \text{Average} = \frac{53}{28}
The average number of children per household is 5328 \frac{53}{28} .
Solution: The completed table is: \begin{tabular}{|c|c|c|} \hline Children & Frequency & Product \\ \hline 0 & 3 & 0 \\ \hline 1 & 8 & 8 \\ \hline 2 & 10 & 20 \\ \hline 3 & 4 & 12 \\ \hline 4 & 2 & 8 \\ \hline 5 & 1 & 5 \\ \hline Sum & 28 & 53 \\ \hline \end{tabular}
The average number of children per household is 5328 \frac{53}{28} .

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