Mathematics
Mathematics
Problem
A ‘less than’ cumulative frequency table for monthly electricity bills (in ₹) of 70 households is given below:| Bill (₹) less than | Cumulative frequency |
|---|---|
| 1000 | 7 |
| 2000 | 19 |
| 3000 | 37 |
| 4000 | 56 |
| 5000 | 70 |
Intuitive explanation
Cumulative frequency tables compress data by showing how many observations fall below each threshold—the key is converting this into actual class frequencies to find where the median and other statistics live. You'll need to "unwrap" the cumulative counts by finding the difference between consecutive rows, which tells you how many households fall in each bill range, then use that to locate the median class and interpolate the exact value.
Intuitive explanation
Cumulative frequency tables compress data by showing how many observations fall below each threshold—the key is converting this into actual class frequencies to find where the median and other statistics live. You'll need to "unwrap" the cumulative counts by finding the difference between consecutive rows, which tells you how many households fall in each bill range, then use that to locate the median class and interpolate the exact value.