• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1

June 17, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1

Question 1.
Write the formula of quartile deviation.
Solution:
Coefficient of quartile deviation
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Here, Q3 = upper quartile, Q1 = Lower quartile.

Question 2.
For any variable series Q1 = 61 and Q3 = 121. Find the quartile deviation.
Solution:
Quartile deviation (Q.D.) = \(\frac { { Q }_{ 3 }-{ Q }_{ 1 } }{ 2 } \)
= \(\frac { 121-61 }{ 2 } \)
= \(\frac { 60 }{ 2 } \) = 30.

Question 3.
Find the quartile deviation and coefficient of quartile deviation of the following data.
3, 8, 11, 13, 17, 19, 20, 22, 23, 27, 31
Solution:
Given data is in assending order.
Total number of terms N = 11
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1

Question 4.
Find the range and coefficient of range of the following table –

x 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5
f 4 5 6 3 2 1 3 5

Solution:
Lower limit (S) = 4.5
Upper limit (L)= 11.5
Range = L – S
= 11.5 – 4.5 = 7
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Thus range is 7 and coefficient of range is 0.44

Question 5.
Find the inter quartile range and its coefficient for the following series –

X 1 3 5 7
f 10 15 3 2

Solution:
We prepare a table using these datas:

X f c.f
1 10 10
3 15 25
5 3 28
7 2 30

Here, N = 30
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1

Question 6.
Find the coefficient of range of the following data –

Size 10-15 15-20 20-25 25-30
Frequency 2 4 6 8

Solution:
Lower limit (S) = 10
Upper limit (L) = 30
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Thus Range coefficient is 0-5.

Question 7.
Find the decile range and percentile range on the basis of following data :

X f
0-10 3
10-20 9
20-30 8
30-40 5
40-50 7
50-60 5
60-70 7
70-80 6

Solution:

Class (x) Frequency (f) Cumulative frequency
0-10 3 3
10-20 9 12
20-30 8 20
30-40 5 25
40-50 7 32
50-60 5 37
60-70 7 44
70-80 6 50
N = 50

RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Calculation of percentile range-
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 45 is 50, whose corresponding class is 70 – 80
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 5 is 12, whose corresponding class is 10-20
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
∴ Percentile range = 71.66 – 12.22 = 59.44
Thus Percentile range = 59.44

Question 8.
Find the decile range and percentile range of the following frequency distribution.

Marks (x) 0-10 10-20 20-30 30-40 40-50
Frequency(f) 5 8 20 14 3

Solution:

Class (x) Frequency (f)

Cumulative frequency

0-10 5 5
10-20 8 13
20-30 20 33
30-40 14 47
40-50 3 50
N = 30

Calculation of Decile Range –
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 45 is 47, whose corresponding class is 30 – 40
∴ l = 30, f = 14, F = 33, h = 10
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 5 is 13, whose corresponding class is 10 – 20
∴ l = 10, f = 8, F = 5, h = 10
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 45 is 47, whose corresponding class is 30 – 40
∴ l = 30, f = 14, F = 33, h = 10
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1
Cumulative frequency exactly greater than 5 is 13, whose corresponding class is 10 – 20
∴ l = 10, f = 8, F = 5, h = 10
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.1

RBSE Solutions for Class 11 Maths

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 11

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Solutions for Class 11 Drawing in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Hindi Sahitya कक्षा 11 हिंदी साहित्य अन्तरा, अन्तराल
  • RBSE Solutions for Class 11 English Literature Woven Words, Julius Caesar & The Guide
  • RBSE Solutions for Class 11 English Compulsory (English Course) Hornbill & Snapshots
  • RBSE Solutions for Class 11 Geography in Hindi Medium & English Medium
  • RBSE Solutions for Class 12 Accountancy in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Home Science in Hindi Medium & English Medium
  • RBSE Solutions for Class 8 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 7 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 6 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 History in Hindi Medium & English Medium

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...