Find the median of the data given below. 180, 90, 134, 68, 52, 152, 88, 110

Correct option is C

Given

The data set: 180, 90, 134, 68, 52, 152, 88, 110

Concept Used

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

For an odd number of values, the median is the middle value.

For an even number of values, the median is the average of the two middle values.

Solution

Arrange the data in ascending order:

52, 68, 88, 90, 110, 134, 152, 180

The data set has 888 values (even).

the two middle values:

The 4th value is 90.

The 5th value is 110.

Now,

Median = $$\frac{\text{4th value} + \text{5th value}}{2}$$​​

Median = $$\frac{90 + 110}{2} = \frac{200}{2} = 100$$​​

Thus, The median is 100.