Question

find out median of the series of the following table :
ITEMS:3,4,5,6,7,8
FREQUENCY:6,9,11,14,23,10​

Answer 1

Answer:

Median = 6

Explanation:

Given:

ITEMS: 3, 4, 5, 6, 7, 8

FREQUENCY: 6, 9, 11, 14, 23, 10​

To find:

Median of the dataset

Solution:

We know that the formula for median = size of [(n + 1) / 2]th item, where

n = total frequency (f)

Therefore, n => 6 + 9 + 11 + 14 + 23 + 10 = 73

Therefore, by substituting the value for ‘n’ in the formula for median, we get:

Median => [(73 + 1) / 2] = 74/2

=> Median = Size of the 37th item

Now, we need to locate the 37th item in the given dataset. We can do so by calculating the cumulative frequency of the given data. By doing so, we can see that the item just exceeding 37th is 40, which is corresponding to the number 6 (Refer to the table attached).

Therefore, median = 6

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