Question

given below are the marks obtained by the student of class calculate the mean deviation and its Coefficient using the median of data .mark 17 35 38 16 42 27 19 11 40 25​

Answer 1

Answer:

given below are the marks obtained by the student of class calculate the mean deviation and its Coefficient using the median of data .mark 17 35 38 16 42 27 19 11 40 25

Answer 2

Calculating the mean deviation and its Coefficient using the median of data

Explanation:

The median of a series can be determined by arranging its items in ascending order as below:  

Srl Marks D (Deviation from Median)

1 11  15

2 16  10

3 17  9

4 19  7

5 25  1

6 27  1

7 35  9

8 38  12

9 40  14

10 42  16

So for the given data Sigma (Σ) D = 94

• Median = Size of (N+1)th item

• Median = (10+1)/2 = 5.5th item

• Hence Median = (25 + 27) / 2 = 26
• Mean deviation = Σ (d) / N = 94/10 = 9.4
• Co-efficient of Mean Deviation = Mean deviation/ Median

 = 9.4 / 26 = 0.36