X = 5
Work
Given the data set:
5, 1, 2, 3, 4 , 2, 1, X, 3, 5
We want to find a value of X which would make the mode of the data 5.
The mode refers to the value that shows up the most times in a data set.
Looking at the data set, we can determine the frequencies of each number.
1 = 2 times
2 = 2 times
3 = 2 times
4 = 1 times
5 = 2 times
X = 1 time
To become the mode, the value has to appear more than 2 times for this instance.
If we want to make 5 the mode of the data set, then we should change the value of X to be 5 so that it is the most commonly occurring number.
Thus, the value of X should be 5 in order for 5 to be the mode.
