Question

A total of $25$ patients admitted to a hospital are tested for levels of blood sugar $\left(mg/dl\right)$ 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 $\left(mg/dl\right)$ of the above data.

• A. Mean $=75.64$, Median $=77$, Mode $=85$
• B. Mean $=75.64$, Median $=76$, Mode $=81$
• C. Mean $=75.64$, Median $=77$, Mode $=81$
• D. Mean $=73.64$, Median $=76$, Mode $=85$

Answer 1

Answer: (A)

Mean $=75.64$, Median $=77$, Mode $=85$

Arrange them in ascending order,
$54,65,67,68,68,69,70,71,73,73,75,76,77,77,78,78,80,81,81,83,85,85,85,85,87$
so total no. $=25$
sum of total no. $=1891$
$\therefore$ mean $=\frac{1891}{25}=75.64$
median $={\left(\frac{25+1}{2}\right)}^{th}$ element
$={13}^{th}$ element
$=77$
mode $=$ highest frequency element $=85$