Question

$p:$ The mode is always one of the number in a data.
$q:$ The mean is one of the numbers in a data.
Which of the following options hold?

• A. Both $p$ and $q$ are true
• B. $p$ is true and $q$ is false
• C. Both $p$ and $q$ are false
• D. $p$ is false and $q$ is true

Answer 1

The correct option is B $p$ is true and $q$ is false

Mode is the number which occurs the most in a given data, hence, it is always one of the numbers in a data.

Mean is the average of all the data, hence, it's not necessary that mean of a data is one of the numbers in a data.

$\therefore p$ is true and $q$ is false.