Find the mean deviation about the mean for the data

Height in cms Number of boys
95-105 9
105-115 13
115-125 26
125-135 30
135-145 12
145-155 10

Asked by Pragya Singh | 1 year ago |  109

1 Answer

Solution :-

Let us make the table of the given data and append other columns after calculations.

Here, \(N=\displaystyle\sum_{i=1}^{6} f_i = 100\)

\( \displaystyle\sum_{i=1}^{8} f_ix_i = 12530\)

\( \overline{X} = \dfrac{1}{N} \displaystyle\sum_{i=1}^{6} f_ix_i \)

\( = \dfrac{1}{100} \times 12530= 125.3\)

\( MD.\overline{(x)}\)\(\) = \(\dfrac{1}{N} \displaystyle\sum_{i=1}^{6} f_i|x_i-\overline {x}| \)

\( = \dfrac{1}{100}\times 1128.8= 11.28\)

Answered by Abhisek | 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