Question

Find the median and mode of-14,25,28,18,17,23,22,52,and96.​

Answer 1

Answer :

Arranging the data in an ascending order, we get,

14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28

It can be observed that 14 has the highest frequency, i.e. 4, in the given data.

Therefore, mode of the given data is 14.

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Answer 2

Step-by-step explanation:

We are given the following data: 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18

We see that we have a total of 12 numbers with us.

Among these, 14 is the smallest, then comes 17, then 18, then 22, then 23, then 2,5, and then 28.

So, we will first have to write 14, 14, 14, 14.

Now, we have covered 4 observations out of 12.

Nex,t we will write 17’s which is given only once in the data.

So, after 17, we are left with 7 observations.

Nex,t we will write 18’s which is given thrice in the data.

So, after 18, we are left with 4 observations.

Nex,t we will write 22’s which is given only once in the data.

So, after 22, we are left with 3 observations.

Nex,t we will write 23’s which is given only once in the data.

So, after 23, we are left with 2 observations.

Nex,t we will write 25’s which is given only once in the data.

So, after 25, we are left with 1 observation.

Nex,t we will write 28’s which is given only once in the data.

So, after 28, we are left with 0 observations.

Now, writing all the data together, we hav: 14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28.

We see that only 14 are occurring 4 times in the data.

Therefore, the mode of the given data 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 is 14.

The mode of the given data is 14.