Question
Compute the following from given frequency distribution:
i) Mean;
ii) Median;
iii) Variance and
iv) Standard Deviation
| Class Interval | Frequency (f) |
| 295-299 | 2 |
| 290-294 | 3 |
| 285-289 | 1 |
| 280-284 | 4 |
| 275-279 | 10 |
| 270-274 | 8 |
| 265-269 | 5 |
| 260-264 | 4 |
| 255-259 | 1 |
| 250-254 | 3 |
| 245-249 | 2 |
| 240-244 | 6 |
Answer :
Word Count : 513
i) Mean -
| Class Interval | Exact Units of Class Interval | Mid-Point (x) | Frequency (f) | Deviation from the AM (x) | fx |
| 295-299 | 295.5-299.5 | 297 | 2 | 5 | 10 |
| 290-294 | 290.5-294.5 | 292 | 3 | 4 | 12 |
| 285-289 | 285.5-289.5 | 287 | 1 | 3 | 3 |
| 280-284 | 280.5-284.5 | 282 | 4 | 2 | 8 |
| 275-279 | 275.5-279.5 | 277 | 10 | 1 | 10 |
| 270-274 | 270.5-274.5 | 272 | 8 | 0 | 0 |
| 265-269 | 265.5-269.5 | 267 | 5 | -1 | -5 |
| 260-264 | 260.5-264.5 | 262 | 4 | -2 | -8 |
| 255-259 | 255.5-259.5 | 257 | 1 | -3 | -3 |
| 250-254 | 250.5-254.5 | 252 | 3 | -4 | -12 |
| 245-249 | 245.5-249.5 | _________ ______ ______ __________ _______ _________.