Question

A bimodal data set is given. What are the possible values for $x$?
Data: $23,24,25,26,27,23,24,25,28,24,29,19,20,x$

• A.
  $23,24$
• B.
  $24,25$
• C.
  $23,25$
• D.
  $24,29$

Answer 1

The correct option is C

$23,25$
Note: When there are two modes in a data set, then the set is called bimodal.

For example, the mode of Set A = {2,2,2,3,4,4,5,5,5} is 2 and 5, because both 2 and 5 is repeated three times in the given set.

Now, in the given data set, 24 appears thrice and 23 and 25 appear twice. To make it bimodal x can have either 23 or 25.