Question

find the value of x ,if the mode of the data 3,5,7,8,2,5,3, 8,2,x,7,2,6 is 5​

Answer 1

Answer:

Mode of any raw/ungrouped data basically mean the observation that occurs the most/has maxim frequency.

Keeping that in mind, let’s find out the frequency of the given observations:

3- Once

4-Once

5-Thrice

6-Twice

7-Thrice

8-Once

x-Once

We can crlearly see that there is a tie between 5 and 7 in terms of frequencies, each occur thrice.

Our objective is to make 7 the mode, ie, give it the highest frequency, it should beat out 5 by at least one.

For this to happen, we would have to introduce another 7 into the data.

Luckily for us, there’s an open spot, ie your answer, the value of x.

In conclusion, for 7 to be the mode of the given data, x would need to be 7