To find the 40th percentile of the family's expenses, we need to calculate the sum of the expenses of all the families with expenditures less than or equal to the 40th percentile.
Php 8000 for food + Php 1500 for shelter + Php 1000 for clothing + Php 1500 for education + Php 1000 for transportation + Php 1000 for savings = Php 15000
The 40th percentile is the value that is above 60% of the expenditure values and below the remaining 40%. To calculate the 40th percentile, we need to find the 60th percentile and then subtract the difference between the 60th percentile and 40th percentile from the 60th percentile value.
To find the 60th percentile, we need to order the expenditure values and pick the value that is above 60% of the sum of all the values.
Php 8000 for food + Php 1500 for shelter + Php 1000 for clothing + Php 1500 for education + Php 1000 for transportation + Php 1000 for savings = Php 15000
The 60th percentile is the value that is above 60% of Php 15000 which is Php 9000. Therefore, the 60th percentile is Php 9000.
To calculate the 40th percentile, we need to subtract the difference between the 60th percentile and 40th percentile from the 60th percentile value.
The difference between the 60th percentile and 40th percentile is Php 9000 - Php 8000 = Php 1000
The 40th percentile is Php 9000 - Php 1000 = Php 8000
The 40th percentile is 8000 PHP. This means that families who spend less than or equal to 8000 PHP per month for food, shelter, clothing, education, transportation, and savings are the 40th percentile families.