Question

Find the mode of following numbers $6,3,2,6,5,6$ and $8$.

Answer 1

Hint: According to the question given in the question we have to determine the mode of following numbers $6,3,2,6,5,6$and $8$. So, first of all we have to understand about the mode which is as explained below:
Mode: The mode is the value or we can say a number which occurs most in a given set of data values and if a is a discrete random variable, the mode is the value a at which the probability mass function which takes its maximum value and in the other words it is the value that is most likely to be sampled.
Now, we have to arrange the given number into increasing order so that we can easily determine the frequency for the given numbers.
Now, to find the mode first of all we have to draw a frequency table for the given number of sets and then we have to check which number is occurring most of the time or we can say that we have to check the highest frequency number.

Complete step-by-step solution:
Step 1: First of all we have to arrange the given number into increasing order so that we can easily determine the frequency for the given numbers.
$ \Rightarrow 2,3,6,6,6,5,8$
Step 2: Now, as mentioned in the solution hint we have to draw a draw a frequency table for the given number of set which is as below:

Numbers	Frequency
$2$	$1$
$3$	$1$
$6$	$3$
$5$	$1$
$8$	$1$

Step 3: Now, as from the frequency table we can see that the number 6 has the highest frequency means number 6 occurs three times.
Hence, with the help of the frequency table we have determined the mode for the given number of sets.

Note: The mode is the value that appears most frequently in the given data set and a set of data may have one mode, more than one mode or no mode at all.
The mode is the value or we can say a number which occurs most in a given set of data values and if a is a discrete random variable.