Question

What is the mode of $19,19,15,20,25,25,20,15$?
A)$15$
B)$20$
C)$19$
D)$25$

Answer 1

Hint: In this problem, we want to find the mode of the given numbers. Mode means which number occurs much time in the given numbers. In other words the number which has the highest frequency in the given numbers is called mode. First, arrange the number orderly, and find the high-frequency number. This is the simplest method to find the mode.

Complete step-by-step solution:
In this solution, we are going to find the mode of the given number.
Mode is defined as a high-frequency number in the given numbers. That means which number is repeated more times in the given numbers is called the mode of the given numbers.
In the question there are eight terms given.
They are nineteen, nineteen, fifteen, twenty, twenty-five, fifteen, twenty, fifteen
Now rearrange the numbers by ascending order, we get
Fifteen, fifteen, fifteen, nineteen, nineteen, twenty, twenty, twenty-five.
 We can write this as, $15,15,15,19,19,20,20,25$
In the above step, we can see that
fifteen is repeated three times.
nineteen is two times.
Twenty is two times and
Twenty-five is one time.
Therefore by the above steps, we can see that the number fifteen has a high frequency at three times.
Therefore the mode of the given problem is fifteen.
Hence the answer for the given problem is option A $15$.

Note: Mode is defined as the number which occurs in the high frequency in the given numbers. To find the mode, first arrange the number in ascending or descending order. And this is the simplest method to find the mode.