Question

The data consists of: 3, 4, 5, 4, 3, 4, 5. Which of the following statement is true?

• A. Median < mode
• B. Median > mode
• C. Median = mode
• D. None of the above

Answer 1

The correct option is C Median = mode

Arranging the given data in ascending order :
3, 3, 4, 4, 4, 5, 5
Number of observations, n = 7 (odd number of observations)
$\therefore$ Median = $(\frac{n+1}{2}{)}^{th}$ observation
= $(\frac{7+1}{2}{)}^{th}$ observation
= $4^{th}$observation
= 4

And mode is an observation with highest frequency.
So, mode = 4 (highest frequency)
Thus, according to the option,
Median = Mode = 4.