Find the mean and median of the following data:13,17,16,14,11,13,10,16,11,18,12,17 ____ and ____

# Find the mean and median of the following data:13,17,16,14,11,13,10,16,11,18,12,17 ____ and ____

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### Solution:

Given observation or terms are
13,17,16,14,11,13,10,16,11,18,12,17
We first find the meaning of a given observation.
As, given observations are single observations. So we use direct methods to find their meaning.
In this method we first find the sum of given observations.
Sum of observations given as:

Therefore, from above we see that mean of the data is 16.8
Now, we will calculate the median of the given observation.
As, data is in single observation. So, to find the median of given data we first arrange the given observation in either ascending order or descending order.
Arranging given observations in ascending order. WE have,
10,11,11,12,13,13,14,16,16,17,17,18
Now, we will see observations are in even numbers or in odd numbers.
We see that there are 12 observations.
So, there are even numbers of observations.
For even number of observation median is given as:
Median =
Therefore, median of given data is given as:
$⇒\frac{12}{2}=$6th and7th terms of the above series.
Hence, medians are 13 and 14 .
Therefore, from above we see that the mean is 16.8 and the median are 13 and14 of given data.
We take the average of the two terms then the median becomes 13.5.

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