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Find the median of the given data.25, 18, 20, 16, 8, 10, 15, 20, 13, 30
Question

Find the median of the given data.

25, 18, 20, 16, 8, 10, 15, 20, 13, 30

A.

30

B.

17

C.

20

D.

15

Correct option is B

Given:

The data is:

25, 18, 20, 16, 8, 10, 15, 20, 13, 30

We are tasked with finding the median of this data set.

Concept Used:

The median is the middle value when the data is arranged in ascending order.

If the number of data points is odd, the median is the middle value.

If the number of data points is even, the median is the average of the two middle values.

Solution:

Arrange the data in ascending order

8, 10, 13, 15, 16, 18, 20, 20, 25, 30

Since there are 10 data points (an even number), the median will be the average of the 5th and 6th values in the ordered list.

The 5th and 6th values are 16 and 18.

Median =16+182=342=17 \frac{16 + 18}{2} = \frac{34}{2} = 17        

The median of the given data is 17.

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