Homework Soursethe relative frequency histogram below describes the energy
the relative frequency histogram below describes the energy consumption (in BTUs) for a sample of n=90 gas-heated homes during a particular time period. What proportion of the homes consumed less than 7 BTUs of energy during the particular time period
Solution
We have been given the relative frequency. we need the sum of relative frequencies below 7 BTU (that is bars, 1-3, 3-5, 5-7)
The table with cumulative relative frequency is given below to aid the calculation
We want the cumulative relative frequency for class 5-7, which is 0.144
That means proportion of the homes that consumed less than 7 BTUs of energy during the particular time period is 14.4%
| Class | Relative frequency | Cumulative relative frequency |
| 1-3 | 0.011 | 0.011 |
| 3-5 | 0.011 | 0.022 |
| 5-7 | 0.122 | 0.144 |
| 7-9 | 0.233 | 0.377 |
| 9-11 | 0.278 | 0.655 |
| 11-13 | 0.189 | 0.844 |
| 13-15 | 0.1 | 0.944 |
| 15-17 | 0.044 | 0.988 |
| 17-19 | 0.011 | 0.999 |
