If mode of 7, (p+15), 11, 26, 11, 26, is 26, then find the mean of 7, 13, 2p, 14, 18, 22.
Answer & explanation
Correct answer: option 3
Mode :- Number which occurs maximum number of times
7, (p+15), 11, 26, 11, 26
Both 11 and 26 appears 2 times and Mode is 26.
So, it is clear that ,
p + 15 = 26
p = 11
Now, 7, 13, 2p, 14, 18, 22
7, 13, 22, 14, 18, 22
Mean = (\frac{ sum \; of \;all \; number\;}{Total\; numbers;}\)
= (\frac{ 7 + 13 + 22 + 14 + 18 + 22}{6}\)
= (\frac{ 96}{6}\)
= 16
The correct answer is Option (3) → 16