Question

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.

Answer 1

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

= 13^th 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.