calculate the Mean Deviation from the following data from Median.
MARKS. 0-5 5-10 10-15 15-20 20-25
NO OF
STUDENTS 4 7 8 5 6
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Solution
First we have to construct a table for the given data. Please refer to video for creating complete table.
Here, N=∑fi=50
∴N2=502=25
So, median class will be xi=30 as it has freuency just greater than 25.
∴Median=30
Now, we will find the deviation from the median for each class.
∴|di|=20,15,10,5,0,5,10,15
∴fidi=140,45,80,25,0,40,40,135
∴∑fidi=505
∴ Mean deviation =∑fidiN=50550=10110=10.1.
Explanation:
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