Question

Runs scored by players of a cricket team are as follows:
57, 17, 26, 91, 115, 26, 83, 41, 57, 0, 26
Find their arithmetic mean, median and mode.

Answer 1

(i)For arithmetic mean:
$\because$ Arithmetic mean $=\frac{Sumofobservations}{No.ofobservations}$
$=\frac{Sumofruns}{No.ofplayers}$
$=\frac{57+17+26+91+115+26+83+41+57+0+26}{11}$
$=\frac{539}{11}=49$
Thus, arithmetic mean = 49 runs
(ii)For median: Arranging the data ascending order 0, 17, 26,26,26,41,57,57,83,91,115
$\Rightarrow$ Median $=(\frac{n+1}{2}{)}^{th}$ term
$=(\frac{11+1}{2}{)}^{th}$ term = 6 th term = 41
$\therefore$ Required median = 41
(iii) For mode: Since 26 has maximum frequency so mode = 26
Thus arithmetic mean = 49, Median = 41 and mode = 26