Question

The mode of the following data 15, 16, 17, 14, 17,16,13, x,17, 16, 15 ,15 is 17 then x is
A.15
B.17
C.16
D.0

Answer 1

Hint: Mode of given set of data is the value which comes repeatedly with maximum frequency. Simply we can determine the mode of a given set of data by arranging them in ascending or descending order and then counting them as their frequency, that is how many times a number would become in that set.

Complete step-by-step answer:
Given: mode of the data is 17.
Given data are 15, 16, 17, 14, 17,16,13, x,17, 16, 15 ,15.
For determining the value of x we draw the frequency table for given data,

Data value	frequency
13	1
14	1
15	3
16	3
17	3
x	1

It is given that mode of the data is 17 so the maximum frequency of data should also be 17. From the above solution we can see that 15, 16 and 17 have the frequency that is equal to 3.
We have to determine the value of x, when the mode of given data is 17.
Mode of the given data is 17 which is only possible when the value of x would be 17.
So the value of x will be equal to 17 which gives the mode of given data as 17.
Therefore, the correct option for the solution is (B).
Note: Students may get confused when they find that 15,16 and 17 have the same frequency equal to 3 but here mode is already given in this question. So apply the condition for mode, it will give you the correct answer.