SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the formula for range

STEP 2: Explain how to calculate the values from a pie chart

STEP 3: Calculate the housings for each of the THREE families

STEP 4: Calculate theRANGE for food for each of the THREE families

STEP 5: Calculate the RANGE for Childcare for each of the THREE families

STEP 6: Calculate the RANGE for Transportation for each of the THREE families

STEP 7: Calculate the RANGE for Insurance for each of the THREE families

STEP 8: Calculate the RANGE for other needs for each of the THREE families

STEP 9: Calculate the RANGE for Taxes for each of the THREE families

It can be seen from the steps above that Childcare category has a range of $1161.00 hence this is the category with the highest range of amounts.
ANSWER: Childcare category