Question

ages of players in a cricket are 25,26,25,27,28,30,31,27,33,27,29 find the minimum number of players to be added to the above team so that mode of data changes and what must be their ages

Answer 1

actually, Mode is the most often occurring value in a data set. 

here, 25 => 2 times
26 => 1 times
27 => 3 times
28 => 1 times
29 => 1 times
30 => 1 times
31 => 1 times
33 => 1 times

here 27 is the most often occurring value in this data set. hence, mode = 27

now mode will be change only when 25 take atleast two more times, then mode will be 25.

so, $\textbf{there are two players to be added to the}\\\textbf{above team so that mode of data changes.}\\\textbf{and their ages = 25 yrs}$

Answer 2

Mode is the statistical term which refers to the most frequently occurring element of a set.

According to the data given in the question we can see that, the most occurring age is 27 i.e. 3 times.

Since the question is asked to find the minimum number of players to be added in order to change the mode, then it will be 25.

As because no other ages are having repetition more than that so if we can add two more players having age of 25 then the mode will change from 27 to 25.