Question

Question No. 7
Calculate median from the following
25 28 29 30 32,33,33,35,42 45,46,47,48,51,52,53,54,60,65​

Answer 1

The median is 45.

Step-by-step explanation:

The median (m) is a measure of central-tendency. To obtain the m, we assemble the data in arising order. If the data is odd, the m is the mid-value. If the data is even, the m is the arithmetic-mean of the two mid-values.

The data set is:

S = {25, 28, 29, 30, 32, 33, 33, 35, 42, 45, 46, 47, 48, 51, 52, 53, 54, 60, 65​}

There are a total of n = 19 values.

The median of the odd data set is the middle value of the data set.

The data set is already arranged in ascending order.

Compute the median as follows:

$Median =(\frac{n+1}{2})^{th}\ obs.$

             $=(\frac{19+1}{2})^{th}\ obs.$

             $=10^{th}\ obs.\\=45$

Thus, the median is 45.

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