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DATA INTERPRETATION




    LECTURE - 2
TWO-VARIABLE GRAPHS
Here the data will be represented in the form of a graph.
Generally it represents the change of one variable with respect
to the other.
Look at the following graph:
       Car sales in India in different years (in 000s)
        200

        150

        100

         50

          0
               2003       2004        2005            2006

                      Maruti     Hyundai     Others
From the given graph, we can calculate
1. The percentage change in the sales of any brand from one
year to another.
EXAMPLE:
                           200
What is the percentage
increase in Maruti sales   150

from 2004 to 2006?         100

(1) 50%                     50

(2) 75%                      0
                                 2003       2004        2005            2006
(3) 100%
                                        Maruti     Hyundai     Others
(4) 125%
From the given graph, we can calculate
2. Rate of growth of total car sales (all the brands) in a given
period.
EXAMPLE:                    200
What is the approximate     150
percentage change in the
                            100
sales of all the given
brands together from 2003    50

to 2006?                      0
                                  2003       2004        2005            2006
(1) 100%
                                         Maruti     Hyundai     Others
(2) 120%
(3) 160%
(4) 200%
From the given graph, we can calculate
3. The proportion of the sales of any brand with respect to the
sales of any other brand in the given year.
EXAMPLE:
                            200
In 2006, the sales of
                            150
Hyundai is approximately
what percentage less than   100

the sales of Maruti?         50

(1) 25%                       0
                                  2003       2004        2005            2006
(2) 42.9%
                                         Maruti     Hyundai     Others
(3) 60%
(4) 75%
From the given graph, we can calculate
4. For a given brand, the year in which the sales increased by
maximum percentage over the previous year.
EXAMPLE:
In which year the sales of   200

Maruti    increased    by    150

maximum percentage over      100
the previous year?
                              50
(1) 2004                       0

(2) 2005                           2003       2004        2005            2006


(3) 2006                                  Maruti     Hyundai     Others


(4) All are same
From the given graph, we can calculate
5. In a given year the brand which has noted the maximum
growth rate in the sales over the previous year.
EXAMPLE:
For which brand, the growth 200
rate in the sales is maximum 150
from 2005 to 2006?
                              100
(1) Maruti
                               50
(2) Hyundai
                                0
(3) Others                          2003       2004        2005            2006

(4) Both Maruti and Hyundai                Maruti     Hyundai     Others
BAR-CHART
Bar-chart is also one of the ways to represent data.
The data given in the above graph can also be represented in
the form of a bar-chart as shown below.

        200                                                     175

        150                                    125
                               100                        100         100
                                                                            90
        100                                          80
                          60              60
              50                     50
         50        30


          0
                   2003          2004                2005         2006


                               Maruti      Huyndai     Others
Here also we can deduce all the parameters as we could do in
the case of a two-variable graph.
From the given graph, we can calculate
1. Percentage change in the sales of any brand from one year to
an other.
EXAMPLE:
                            200                                                     175
What is the percentage
increase in the sales of    150                                    125
Maruti from 2004 to 2006?   100
                                                   100
                                                                         80
                                                                              100         100
                                                                                                90
                                              60              60
(1) 50%                      50
                                  50
                                       30
                                                         50


(2) 75%
                              0
(3) 100%                               2003          2004                2005         2006

(4) 125%                                           Maruti      Huyndai     Others
From the given graph, we can calculate
2. Rate of growth of total sales of the cars (all the brands) in a
given period.
EXAMPLE:
What is the approximate     200                                                     175

percentage change in the    150                                    125
sales of all the given                             100                        100         100
                                                                                                90
                            100                                          80
brands together from 2003         50
                                              60
                                                         50
                                                              60
to 2006?                     50        30

(1) 100%                      0

(2) 120%                               2003          2004                2005         2006


(3) 160%                                           Maruti      Huyndai     Others

(4) 200%
From the given graph, we can calculate
3. Proportion of the sales of any brand with respect to those of
any other brand in the given year.
EXAMPLE:
In 2006, the sales of       200                                                     175

Hyundai is approximately    150                                    125
what percentage less than                          100
                                                                         80
                                                                              100         100
                                                                                                90
                            100
the sales of Maruti?              50
                                              60
                                                         50
                                                              60
                             50        30
(1) 25%
                              0
(2) 42.9%                              2003          2004                2005         2006

(3) 60%
                                                   Maruti      Huyndai     Others
(4) 75%
From the given graph, we can calculate
4. For a given brand, the year in which the sales increased by a
maximum percentage over the previous year.
EXAMPLE:
In which year the sales of   200                                                     175

Maruti increased by a        150                                    125
maximum percentage over                             100                        100         100
                                                                                                 90
                             100                                          80
the previous year?                 50
                                               60
                                                          50
                                                               60
                                        30
(1) 2004                      50


(2) 2005                       0
                                        2003          2004                2005         2006
(3) 2006
                                                    Maruti      Huyndai     Others
(4) All are same
From the given graph, we can calculate
5. In a given year the brand which has noted the maximum
growth rate in the sales over the previous years.
EXAMPLE:
For which brand the growth     200                                                     175

rate in the sales is maximum   150                                    125
from 2005 to 2006?             100
                                                      100
                                                                            80
                                                                                 100         100
                                                                                                   90
                                                 60              60
(1) Maruti                      50
                                     50
                                          30
                                                            50


(2) Hyundai                      0

(3) Others                                2003          2004                2005         2006


(4) Both Maruti and Hyundai                           Maruti      Huyndai     Others
VENN DIAGRAMS
If the information comes under more than one category, we
represent such data in the form of a Venn diagram.
The following Venn diagram represents the number of people
who speak different languages.

      Hindi (80)                   English (120)

                    32   10

                         25
                              12


                               Punjabi (125)
From the given diagram, we can find
1. The number of people who can speak only English.
2. The number of people who can speak only Punjabi.
EXAMPLES:
How many people speak only
English?                Hindi (80)                     English (120)
                                        32   10
(1) 22        (2) 73
                                             25
(3) 47        (4) 120                             12

How many people speak only
Punjabi?                                           Punjabi (125)

(1) 37        (2) 50
(3) 75        (4) 125
From the given Venn diagram, we can find
3. The number of people who can speak both Punjabi and Hindi.
4. The number of people who can speak exactly two of the three
languages.
EXAMPLES:
How many people can speak                          English (120)
                               Hindi (80)
both Punjabi and Hindi?
                                          32 10
(1) 9          (2) 12
                                             25
(3) 13         (4) 38                           12
How many people can speak
exactly two languages out of the                  Punjabi (125)
given three?
(1) 25         (2) 35
(3) 60         (4) 80
From the given Venn diagram, we can find
5. The number of people who can speak at least two languages.
6. The number of people who can speak exactly one or two
languages.
EXAMPLES:
How many people in the colony
speak at least two of the above
three languages?             Hindi (80)                  English (120)

(1) 25        (2) 35                      32   10
(3) 60        (4) 80                           25
                                                    12
How many people in the colony
speak only one language?
                                                     Punjabi (125)
(1) 32        (2) 73
(3) 75        (4) 180
Ppt On Data Interpretation For Cat

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Ppt On Data Interpretation For Cat

  • 1. DATA INTERPRETATION LECTURE - 2
  • 2. TWO-VARIABLE GRAPHS Here the data will be represented in the form of a graph. Generally it represents the change of one variable with respect to the other. Look at the following graph: Car sales in India in different years (in 000s) 200 150 100 50 0 2003 2004 2005 2006 Maruti Hyundai Others
  • 3. From the given graph, we can calculate 1. The percentage change in the sales of any brand from one year to another. EXAMPLE: 200 What is the percentage increase in Maruti sales 150 from 2004 to 2006? 100 (1) 50% 50 (2) 75% 0 2003 2004 2005 2006 (3) 100% Maruti Hyundai Others (4) 125%
  • 4. From the given graph, we can calculate 2. Rate of growth of total car sales (all the brands) in a given period. EXAMPLE: 200 What is the approximate 150 percentage change in the 100 sales of all the given brands together from 2003 50 to 2006? 0 2003 2004 2005 2006 (1) 100% Maruti Hyundai Others (2) 120% (3) 160% (4) 200%
  • 5. From the given graph, we can calculate 3. The proportion of the sales of any brand with respect to the sales of any other brand in the given year. EXAMPLE: 200 In 2006, the sales of 150 Hyundai is approximately what percentage less than 100 the sales of Maruti? 50 (1) 25% 0 2003 2004 2005 2006 (2) 42.9% Maruti Hyundai Others (3) 60% (4) 75%
  • 6. From the given graph, we can calculate 4. For a given brand, the year in which the sales increased by maximum percentage over the previous year. EXAMPLE: In which year the sales of 200 Maruti increased by 150 maximum percentage over 100 the previous year? 50 (1) 2004 0 (2) 2005 2003 2004 2005 2006 (3) 2006 Maruti Hyundai Others (4) All are same
  • 7. From the given graph, we can calculate 5. In a given year the brand which has noted the maximum growth rate in the sales over the previous year. EXAMPLE: For which brand, the growth 200 rate in the sales is maximum 150 from 2005 to 2006? 100 (1) Maruti 50 (2) Hyundai 0 (3) Others 2003 2004 2005 2006 (4) Both Maruti and Hyundai Maruti Hyundai Others
  • 8. BAR-CHART Bar-chart is also one of the ways to represent data. The data given in the above graph can also be represented in the form of a bar-chart as shown below. 200 175 150 125 100 100 100 90 100 80 60 60 50 50 50 30 0 2003 2004 2005 2006 Maruti Huyndai Others Here also we can deduce all the parameters as we could do in the case of a two-variable graph.
  • 9. From the given graph, we can calculate 1. Percentage change in the sales of any brand from one year to an other. EXAMPLE: 200 175 What is the percentage increase in the sales of 150 125 Maruti from 2004 to 2006? 100 100 80 100 100 90 60 60 (1) 50% 50 50 30 50 (2) 75% 0 (3) 100% 2003 2004 2005 2006 (4) 125% Maruti Huyndai Others
  • 10. From the given graph, we can calculate 2. Rate of growth of total sales of the cars (all the brands) in a given period. EXAMPLE: What is the approximate 200 175 percentage change in the 150 125 sales of all the given 100 100 100 90 100 80 brands together from 2003 50 60 50 60 to 2006? 50 30 (1) 100% 0 (2) 120% 2003 2004 2005 2006 (3) 160% Maruti Huyndai Others (4) 200%
  • 11. From the given graph, we can calculate 3. Proportion of the sales of any brand with respect to those of any other brand in the given year. EXAMPLE: In 2006, the sales of 200 175 Hyundai is approximately 150 125 what percentage less than 100 80 100 100 90 100 the sales of Maruti? 50 60 50 60 50 30 (1) 25% 0 (2) 42.9% 2003 2004 2005 2006 (3) 60% Maruti Huyndai Others (4) 75%
  • 12. From the given graph, we can calculate 4. For a given brand, the year in which the sales increased by a maximum percentage over the previous year. EXAMPLE: In which year the sales of 200 175 Maruti increased by a 150 125 maximum percentage over 100 100 100 90 100 80 the previous year? 50 60 50 60 30 (1) 2004 50 (2) 2005 0 2003 2004 2005 2006 (3) 2006 Maruti Huyndai Others (4) All are same
  • 13. From the given graph, we can calculate 5. In a given year the brand which has noted the maximum growth rate in the sales over the previous years. EXAMPLE: For which brand the growth 200 175 rate in the sales is maximum 150 125 from 2005 to 2006? 100 100 80 100 100 90 60 60 (1) Maruti 50 50 30 50 (2) Hyundai 0 (3) Others 2003 2004 2005 2006 (4) Both Maruti and Hyundai Maruti Huyndai Others
  • 14. VENN DIAGRAMS If the information comes under more than one category, we represent such data in the form of a Venn diagram. The following Venn diagram represents the number of people who speak different languages. Hindi (80) English (120) 32 10 25 12 Punjabi (125)
  • 15. From the given diagram, we can find 1. The number of people who can speak only English. 2. The number of people who can speak only Punjabi. EXAMPLES: How many people speak only English? Hindi (80) English (120) 32 10 (1) 22 (2) 73 25 (3) 47 (4) 120 12 How many people speak only Punjabi? Punjabi (125) (1) 37 (2) 50 (3) 75 (4) 125
  • 16. From the given Venn diagram, we can find 3. The number of people who can speak both Punjabi and Hindi. 4. The number of people who can speak exactly two of the three languages. EXAMPLES: How many people can speak English (120) Hindi (80) both Punjabi and Hindi? 32 10 (1) 9 (2) 12 25 (3) 13 (4) 38 12 How many people can speak exactly two languages out of the Punjabi (125) given three? (1) 25 (2) 35 (3) 60 (4) 80
  • 17. From the given Venn diagram, we can find 5. The number of people who can speak at least two languages. 6. The number of people who can speak exactly one or two languages. EXAMPLES: How many people in the colony speak at least two of the above three languages? Hindi (80) English (120) (1) 25 (2) 35 32 10 (3) 60 (4) 80 25 12 How many people in the colony speak only one language? Punjabi (125) (1) 32 (2) 73 (3) 75 (4) 180