If mean of the numbers 2, (p+1), 8, 19, 16, 3 and p is 9, then find the mode of the numbers.
Answer & explanation
Correct answer: option 2
mean of the numbers 2, (p+1), 8, 19, 16, 3 and p = 9
Total numbers = 7
\(\frac{ 2 + P + 1 + 8 + 19 + 16 + 3 + P }{7}\) = 9
2 + P + 1 + 8 + 19 + 16 + 3 = 63
2P = 63 - 49
2p = 14
p = 7
So, All numbers are
2, (p+1), 8, 19, 16, 3 and p
2, (7+1), 8, 19, 16, 3 and 7
2, 8 , 8, 19, 16, 3 and 7
occurrences of 8 is two.
So, mode = 8