Calculate the mean deviation of the following income groups of five and seven members from their medians:

Income in ₹ Income in ₹
4000 3800
4200 4000
4400 4200
4600 4400
4800 4600
  4800
  5800

 

Asked by Sakshi | 1 year ago |  32

1 Answer

Solution :-

Let us calculate the mean deviation for the first data set.

Since the data is arranged in ascending order,

4000, 4200, 4400, 4600, 4800

Median = 4400

Total observations = 5

We know that,

Where, |di| = |xi – M|

= \( \dfrac{1}{5}\) × 1200

= 240

Let us calculate the mean deviation for the second data set.

Since the data is arranged in ascending order,

3800, 4000, 4200, 4400, 4600, 4800, 5800

Median = 4400

Total observations = 7

We know that,

Where, |di| = |xi – M|

= \( \dfrac{1}{7}\) × 3200

= 457.14

The Mean Deviation of set 1 is 240 and set 2 is 457.14

Answered by Aaryan | 1 year ago

Related Questions

Find the mean deviation from the mean and from a median of the following distribution:

Marks 0-10 10-20 20-30 30-40 40-50
No. of students 5 8 15 16 6

 

Class 11 Maths Statistics View Answer

The age distribution of 100 life-insurance policy holders is as follows

Age (on nearest birthday) 17-19.5 20-25.5 26-35.5 36-40.5 41-50.5 51-55.5 56-60.5 61-70.5
No. of persons 5 16 12 26 14 12 6 5

 

Class 11 Maths Statistics View Answer

Compute mean deviation from mean of the following distribution:

Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of students 8 10 15 25 20 18 9 5

 

Class 11 Maths Statistics View Answer

Find the mean deviation from the mean for the following data:

Classes 95-105 105-115 115-125 125-135 135-145 145-155
Frequencies 9 13 16 26 30 12

 

Class 11 Maths Statistics View Answer

Find the mean deviation from the mean for the following data:

Classes 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800
Frequencies 4 8 9 10 7 5 4 3

 

Class 11 Maths Statistics View Answer