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)
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Verified answer
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