Question

If the mode of the following data is 7, find the value of x:3.
4 , 1 , 3 , 7 , 5 , 6 , 3 , 7 , x , 7 , 2

Answer 1

Hey.

Mode is the data which occurs maximum no. of times in all.

As mode is 7 here which is repeated 3 times .

So, for 7 to remain as mode no other no. should be repeated more than or equal to 3 times.

As 3 has repeated 2 times if one more 3 comes it will be now 3 times and 7 will no longer be a mode.



Hence, And any no. other than 3 can be x.

Answer 2

Mean=(3+4+1+3+7+5+6+ 3+7+7+2+x)/12=7
=>48+x=84
=>x=32