Question

Find the median of the set of data: 61, 40, 65, 48, 64, 57, 64, 42, 56, 55

Answer 1

Answer:

56.5

Step-by-step explanation:

Given set of data :  61, 40, 65, 48, 64, 57, 64, 42, 56, 55

To find : median of the set of data: 61, 40, 65, 48, 64, 57, 64, 42, 56, 55

Solution :

In order to find median, we will first arrange data in ascending order (i.e, from smallest to largest number ).

In ascending order, terms are as follows:

40, 42, 48, 55, 56, 57, 61, 64, 64, 65

Number of terms (n) = 10

Here, number of terms is even .

We know that if number of terms is even then median is calculated as follows:

$\frac{\left ( \frac{n}{2} \right )^{th}\,\,term+\left ( \frac{n}{2} +1\right )^{th}\,\,term}{2}\\=\frac{5^{th \,\,term}+6^{th \,\,term}}{2}\\=\frac{56+57}{2}\\=\frac{113}{2}\\=56.5$

Answer 2

The median for the problem is 56.5