If the 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
The correct answer is Option (3) → 16
The mode is the value that occurs most often. Without p + 15, the values 11 and 26 each occur twice, so 26 can be the only mode only if p + 15 is also 26.
\(p+15=26\), so \(p=11\) and \(2p=22\)
Sum of 7, 13, 22, 14, 18, 22: \(96\)
Mean \(=\frac{96}{6}=16\)