Mathematics
Mathematics
Problem
The distribution below shows the monthly pocket money (in ₹) received by 50 students. Class interval: 0–10, 10–20, 20–30, 30–40 Frequency: 5, 15, 20, 10 Find the median pocket money (in ₹). a) b) c) d)Intuitive explanation
The median is the middle value that splits your data in half—here, you need to find where the 25th student falls when all 50 are ordered by pocket money. Build a cumulative frequency column to track how many students fall up to each class boundary, then locate which class contains that 25th position. Once you've identified the median class, use the median formula for grouped data to pinpoint the exact value within that interval.
Intuitive explanation
The median is the middle value that splits your data in half—here, you need to find where the 25th student falls when all 50 are ordered by pocket money. Build a cumulative frequency column to track how many students fall up to each class boundary, then locate which class contains that 25th position. Once you've identified the median class, use the median formula for grouped data to pinpoint the exact value within that interval.