Question

Ages of players in a cricket team are $25,26,25,27,28,30,31,27,33,27,29$.
(i) Find the mean and mode of the data. (ii) Find the minimum number of players to be added to the above team so that mode of the data changes and what must be their ages.

• A. (i) Mean $=25,$ Mode $=36$
  (ii) $3$ players of age $25$ years each
• B. (i) Mean $=23,$ Mode $=32$
  (ii) $4$ players of age $25$ years each
• C. (i) Mean $=28,$ Mode $=27$
  (ii) $2$ players of age $25$ years each
• D. (i) Mean $=30,$ Mode $=25$
  (ii) $1$ players of age $25$ years each

Answer 1

The correct option is C (i) Mean $=28,$ Mode $=27$

(ii) $2$ players of age $25$ years each
Mean of the data $=\frac{25+26+25+27+28+30+31+27+33+27+29}{11}=28$

Mode is tha data which is repeated frequently, in this question $27$ is repeated three times therefore the mode is $27$

As there are $2$ player's with age $25$ we need to add minimum $2$ players with age $25$ then the mode changes to $25$