Question

The table shows the number of children in each of the 35 families surveyed. Identify the calculations used to find the percentage of family with more than 3 children.

A.$\dfrac{{10}}{{35}} \times 100$ %
B.$\dfrac{{21}}{{35}} \times 100$ %
C.$\dfrac{{14}}{{35}} \times 100$ %
D.$\dfrac{{31}}{{35}} \times 100$ %

Answer 1

Hint: We can see that in the above table the two columns shows the number of children and tally which basically gives us the information about the number of families. So, firstly we will add another column to the table which can simply use the number of families. So, to add columns we will count the lines on the tally table and put the numbers in the corresponding row of the number of family columns. Now we have all the information about the number of families having more than 3 children. Now, to find the percentage of the families with more than 3 children we will add up all the number of families with more than 3 children and then dividing that by the total number of families and multiplying with 100 will give us the percentage of the families with more than 3 children.

Complete step-by-step answer:

From the table given above,
The total number of families = 35
Now, the number of families with more than $3$ children = $21$
So, the percentage of the family with more than $3$ children
Percentage = family with more than $3$children/total number of families$ \times $ $100$ %
Now, substituting the above values,
Percentage = $\dfrac{{21}}{{35}} \times 100$ %
Hence, the percentage is $\dfrac{{21}}{{35}} \times 100$ %
Hence, the answer is B.

Note: We can also calculate the percentage of the number of families with the total number of families without making another column of the number of families by directly counting the number of lines in tally.