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.

Find mean, median and mode (mg/dl) of the above data.

Options

A. `75.64,77,95`
B. `75,87,55`
C. `75.64,87,88`
D. `75.64,77,85`

Answer

D

Explanation

Firstly, arrange the given table in ascending order, which is shown below.

Here, number of observations, n=25
`therefore` 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.