Question

Find the median of 36,32,28,22,26,20,18,40

Answer 1

Answer

median is mid term.

here no. of terms is even

so median is average of n/2th and n/2+1 th term

average of 4th and 5th term

answer is 24

mark it brainliest

Answer 2

Answer:

Step-by-step explanation:

Concept:

The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three different metrics are employed in mathematics. The terms are median, mode, and mean. The term "measures of central tendency" refers to these three metrics. The mean of the provided data provides the average value. A median identifies the midpoint of the provided data. The given data's repeated value is determined by mode.

In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.

Given:

The data is $36,32,28,22,26,20,18,40$

Find:

To find the median of the given data.

Solution:

First we have to arrange the given data in ascending order

$18,20,22,26,28,32,36,40$

The total number of observations $= 8$ (even)

If $n$ is even , median $= 1/2[value of (n/2)th term + value of (n/2+1)th term]$

                                  $= 1/2[(8/2)th term + (8/2+1)th term]$

                                  $= 1/2[ 4th term + 5th term]$

                                  $= 1/2[26+28]$

                                  $= 1/2[54]$

                                  $= 27$

Hence the median for the given data is $27$

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