Question

If mode of the observations 28, 17, 26, 13, 25, 13, 17, 28, 18, 16, 28, 17, 16, 15, 3x-5, 16, 19, 21, 15, 13, 12 is 16, then find the value of x.
A) 0
B) -5
C) 7
D) Cannot be determined
E) None of these

Answer is option (C)

I want answer with correct explanation. If u will give explanation correctly I will mark u as Brainliest​

Answer 1

Answer :

Mode = element occuring maximum number of times

13 , 16 & other few numbers appear 3 times. 3 is the max. time any number repeated.

If mode is 16 , then it has to appear more than 3 times.

Thus , 3x - 5 = 16

3x = 21

x = 7

That makes the answer (C) 7