Question

Find the mean , median, mode and range of the following sets of data
$11.0,11.2,11.4,11.0,11.8,11.8,11.4,12.0,11.8,11.6$
$64,70,70,72,76,76,77,77,77,78,78,80$

Answer 1

Step $1$

Mean $=\frac{Sumofallobservation}{No.ofobservation}=\frac{115}{10}=11.5$

Range $=$ difference between highest and lowest value

$=12.0-11.0=1.0$

frequency data in ascending order:

$11.0,11.2,11.4,11.4,11.6,11.8,12.0$

No. of observation $=10$ (even)

$\therefore$ Two middle observations: $5^{th}$ and $6^{th}$ position

$\therefore$ Median $=\frac{11.4+11.6}{2}=11.5$

Mode $=$ Observation that accurs of ten =$11.8$

Step $2$

Mean $=\frac{895}{12}=74.58$

Range $=80-64=16$

Median $=\frac{76+77}{2}=76.5$

Mode $=77$