Find the sum of the mode and the median of the given data. 2, 4, 3, 4, 6, 2, 5, 1, 3, 2, 1.
Given:
Given data is 2, 4, 3, 4, 6, 2, 5, 1, 3, 2, 1.
To do:
We have to find the sum of the mode and the median of the given data.
Solution:
Arranging the given data in ascending order, we get,
1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6.
We know that,
When the number of observations (n) is odd, the median is the value of the $\frac{n\ +\ 1}{2}$th observation.
Here, n = 11.
So, median $=\frac{11+1}{2}=6$th term.
6th term in the given data is 3.
The mode is the value that appears most frequently in a data set.
In the given data 2 appears the most number(3) of times.
Therefore, 2 is the mode of the given data.
Sum of the mode and median $=3+2=5$.
The sum of the mode and median of the given data is 5.
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