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:
[tex]\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[/tex]
