write 3 difference between inclusive and exclusive series.

What are the objectives of measures of dispersion?

I want full solutions of economics -TR JAIN and VK OHRI

Discuss the importance of measures of Dispersion?

Measurement of Range in Continuous Series

Range= Upper Limit of the Highest Class Interval - Lower Limit of the Lowest Class Interval

Method 2: Range is the difference of the mid value of the highest class and that of the lowest class.

Range= Mid-Value of the Highest Class Interval - Mid-Value of the Lowest Class Interval

Example: For the following data calculate the range.

X

f

0-10

10

10-20

15

20-30

11

30-40

17

40-50

13

Solution:

Method 2: Range = Mid-Value of the Highest Class Interval - Mid-Value of the Lowest Class Interval

Range = 45 5= 40

Q) In finding the mid value we should use ' + ' sign or ' - ' sign ?

The solution you have presented is wrong as (50-40)/2 = 45 as it should be (50+40)/2 = 45.

it is for both the cases

case 1 :- MID VALUE OF HIGHEST CLASS INTERVAL

case 2 :- MID VALUE OF LOWEST CLASS INTERVAL

answers of NM SHAH statistics class 11 chapter 10

What are the properties of a good measure of dispersion?

solutions for n m shah

Q. Calculate Standard Deviation by Assumed mean method in individual series ?

X

5

6

9

4

12

11

lorenz curve how to find cumulative percentage?

Mathmatical Questions

Q.1. Calculate quartile deviation and its cofficient of rajesh 's income .

markas : 12 34 5 6 7 8 9 19 1112

income(Rs) : 239 250 251 251 257 258 260 261262 262273 275

Q.2. Calculate meandeviation from (1) arithmeticmean (2) median :

marks: 7 4 10 9 15 12 7 9 7

Q.3. Calculate (a) median cofficient of dispersion , and (b) mean cofficient of dispersion from the following data :

size of item : 4 6 8 10 12 14 16

frequency : 2 4 5 3 2 1 4

Q.1. Calculate mean , standard deviation and variance :

Variable : 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40

frequency : 2 5 7 13 21 16 8 3

Q.2. The number examined , the meanweight and standard deviation in each group of examination by two medical examiners are given below . calculate mean and standard deviation of both the group taken together .

Medical examiner number examined mean weight (lbs) standard deviation (lbs)

A 50 113 6.5

B 60 120 8.2

Q.3. You are given the following data about height of boys and girls :

Boys Girls

Number 72 38

Average height (in inches) 68 61

Variance of distribution (in inches) 9 4

(a) calculate cofficient of variation

(b) decide whose height is more variable .