During a medical check - up, the number of heart beats per minute of 30 patients were recorded and Summarized as follows:
Number of heart - beats per minute | 65 - 68 | 68 - 71 | 71 - 74 | 74 - 77 | 77 - 80 | 80 - 83 | 83 - 86 |
Number of patients | 2 | 4 | 3 | 8 | 7 | 4 | 2 |
Find the mean heartbeats per minute for these patients, choosing a suitable method.
We will find the mean heartbeats per minute by direct method.
CLASS | MID - POINT(xi) | FREQUENCY(fi) | fixi |
65 - 68 | 66.5 | 2 | 133 |
68 - 71 | 69.5 | 4 | 278 |
71 - 74 | 72.5 | 3 | 217.5 |
74 - 77 | 75.5 | 8 | 604 |
77 - 80 | 78.5 | 7 | 549.5 |
80 - 83 | 81.5 | 4 | 326 |
83 - 86 | 84.5 | 2 | 169 |
TOTAL | 30 | 2277 |
We have got
Σfi = 30 & Σfixi = 2277
∵ mean is given by
⇒
⇒
Thus, mean is 75.9 heartbeats per minute.