Question

Data set B: 87, 90, 77, 83, 99, 94, 93, 90, 85, 83 Find the MEDIAN

Answer 1

Answer: 88.5

Step-by-step explanation:

First you need to order the data set from least to greatest:

So,

77,83,83,85,87,90,90,93,94,99

Then you find the middle number, in this case it's 87 and 90.

Because there is two middle numbers in the data set, you need to find the average between those numbers.

The average between 87 and 90 is 88.5.

Hope this helps :)

Answer 2

The median of the Data set B: {87, 90, 77, 83, 99, 94, 93, 90, 85, 83} is 88.5.

What is Median?

Median is the mid-value of the given data set when the set of the data is properly arranged.

The value of the data set is {87, 90, 77, 83, 99, 94, 93, 90, 85, 83}, now rearranging the set we will get,

77, 83, 83, 85, 87, 90, 90, 93, 94, 99

As we can see that the number of data points in the set is 10, therefore, the value of the median is the arithmetic average of the 5th and the 6th term,

$\text{The average of the 5^{th} and the 6^{th} value}=\dfrac{87 + 90}{2} = 88.5$The average of the 5th and 6th = (87+90)/2 = 88.5

hence, the median of the Data set B: {87, 90, 77, 83, 99, 94, 93, 90, 85, 83} is 88.5.

Learn more about Median:

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