If mode of 7, (p+15), 11, 26, 11, 26, is 26, then find the mean of 7, 13, 2p, 14, 18, 22.

16

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