Mathematics
Mathematics
Problem
The monthly electricity bills (in ₹) for 56 households are recorded as follows: Bill (₹): 0–100, 100–200, 200–300, 300–400, 400–500, 500 and above Frequency: 3, 7, 11, 23, 9, 3 Calculate the median monthly bill.Intuitive explanation
The median is the middle value that splits your data in half—here, you need to find which bill amount separates the lower 28 households from the upper 28. Since the data is grouped into ranges, you'll use the median class formula, which locates the exact bill within the class containing the 28th household by accounting for how many households fall below it. Think of it as finding the threshold bill amount where exactly half the households pay less and half pay more.
Intuitive explanation
The median is the middle value that splits your data in half—here, you need to find which bill amount separates the lower 28 households from the upper 28. Since the data is grouped into ranges, you'll use the median class formula, which locates the exact bill within the class containing the 28th household by accounting for how many households fall below it. Think of it as finding the threshold bill amount where exactly half the households pay less and half pay more.