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प्रश्न
A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows:
| 87 | 71 | 83 | 67 | 85 |
| 77 | 69 | 76 | 65 | 85 |
| 85 | 54 | 70 | 68 | 80 |
| 73 | 78 | 68 | 85 | 73 |
| 81 | 78 | 81 | 77 | 75 |
Find mean, median and mode (mg/dl) of the above data.
उत्तर
Firstly, arrange the given table in ascending order, which is shown below:
| 54 | 69 | 75 | 78 | 85 |
| 65 | 70 | 76 | 80 | 85 |
| 67 | 71 | 77 | 81 | 85 |
| 68 | 73 | 77 | 81 | 85 |
| 68 | 73 | 78 | 83 | 87 |
Here, number of observations, n = 25
∴ Mean of blood sugar testing
`(54 + 65 + 67 + 68 + 68 + 69 + 70 + 71 + 71 + 73 + 73 + 75 + 76 + 77 + 77 + 78 + 78 + 80 + 81 + 81 + 83 + 85 + 85 + 85 + 87)/25`
= `1891/25`
= 75.64
Here, n = 25 which is odd.
So, we use the formula for median = `((n + 1)/2)^(th)` observation
= `((25 + 1)/2)^(th)` observation
= 13th observation
= 77
We know that, mode is the highest frequency of an observation.
In the given table, we see that maximum repeated number is 85.
Hence, mode of the given data is 85.
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