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In all early civilizations, the first expression of
mathematical understanding appears in the form
of counting systems. Numbers in very early
societies were typically represented by groups of
lines, though later different numbers came to be
assigned specific numeral names and symbols
(as in India) or were designated by alphabetic
letters (such as in Rome). Although today, we
take our decimal system for granted, not all
ancient civilizations based their numbers on a
ten-base system. In ancient Babylon, a
sexagesimal (base 60) system was in use.
Types
HISTOGRAM       Frequency
                 Polygon


Frequency     Less than Ogive
  curve            curve


       More than
       Ogive curve
Simply click on the title to go to the
respective slide.
1.   Histogram
2.   Frequency curve
3.   Method to find the mode
4.   Example for mode




To view the slide in
STANDARD order
click here--
Simply click on the title to go to the
respective slide.
1.   Histogram
2.   Frequency curve
3.   Method to find the MODE
4.   Example for mode




To view the slide in
STANDARD order
click here--
What is a histogram?
A histogram is a display of
statistical information that
uses rectangles to show the
frequency of data items in
successive numerical
•Construct a frequency polygon table for the following data of weight in
grams, using equal class intervals.
•Observations:
45,55,30,80,75,85,40,60,65,40,60,75,70,60,70,85,85,80,35,45,40,40,60,60,55,
45,30,80,85,75.

     Class interval        Tally marks           Frequency

     30-40                 |||                   3

     40-50                 |||| |                6

     50-60                 |||                   3

     60-70                 |||| |                6

     70-80                 ||||                  5

     80-90                 |||| ||               7

                           Total                 30
Histogram
8
7
6
5
4
                                         Frequency
3
2
1
0
    30   40   50      60       70   80      BACK
Draw a frequency curve and a frequency polygon


Marks                     Frequency
0-10                      5
10-20                     11
20-30                     19
30-40                     21
40-50                     16
50-60                     10
60-70                     8
70-80                     6
FREQUENCY CURVE
25
                                   On X-axis
20                                 1cm=50 marks
                                   On y-axis
                                   1cm=5 students
15

10                                    FREQUENCY


5

0
     0   20   40   60   80   100
Frequency Polygon
25
                                   Scale-
20                                 On X-axis
                                   1cm=20
                                   students
15
                                   On Y-axis
                                   1cm=5 marks
10


5


0

     0   20       40      60      80     100     BACK
1. Plot the normal histogram
2. Join the four vertices of the bar with
   highest frequency
3. Draw lines to intersect each other
4. Trace them to the base line
5. This point is the median

                                            BACK
Chest in cm   No. of students
68-74         5
75-81         31
82-88         40
89-95         20
95-102        3
103-109       1
MODE
     frequency   84.5
45
40
35
30
25
20
15
10                      frequency
 5
 0
Statistics

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Statistics

  • 1.
  • 2. In all early civilizations, the first expression of mathematical understanding appears in the form of counting systems. Numbers in very early societies were typically represented by groups of lines, though later different numbers came to be assigned specific numeral names and symbols (as in India) or were designated by alphabetic letters (such as in Rome). Although today, we take our decimal system for granted, not all ancient civilizations based their numbers on a ten-base system. In ancient Babylon, a sexagesimal (base 60) system was in use.
  • 3. Types HISTOGRAM Frequency Polygon Frequency Less than Ogive curve curve More than Ogive curve
  • 4. Simply click on the title to go to the respective slide. 1. Histogram 2. Frequency curve 3. Method to find the mode 4. Example for mode To view the slide in STANDARD order click here--
  • 5. Simply click on the title to go to the respective slide. 1. Histogram 2. Frequency curve 3. Method to find the MODE 4. Example for mode To view the slide in STANDARD order click here--
  • 6. What is a histogram? A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical
  • 7. •Construct a frequency polygon table for the following data of weight in grams, using equal class intervals. •Observations: 45,55,30,80,75,85,40,60,65,40,60,75,70,60,70,85,85,80,35,45,40,40,60,60,55, 45,30,80,85,75. Class interval Tally marks Frequency 30-40 ||| 3 40-50 |||| | 6 50-60 ||| 3 60-70 |||| | 6 70-80 |||| 5 80-90 |||| || 7 Total 30
  • 8. Histogram 8 7 6 5 4 Frequency 3 2 1 0 30 40 50 60 70 80 BACK
  • 9. Draw a frequency curve and a frequency polygon Marks Frequency 0-10 5 10-20 11 20-30 19 30-40 21 40-50 16 50-60 10 60-70 8 70-80 6
  • 10. FREQUENCY CURVE 25 On X-axis 20 1cm=50 marks On y-axis 1cm=5 students 15 10 FREQUENCY 5 0 0 20 40 60 80 100
  • 11. Frequency Polygon 25 Scale- 20 On X-axis 1cm=20 students 15 On Y-axis 1cm=5 marks 10 5 0 0 20 40 60 80 100 BACK
  • 12. 1. Plot the normal histogram 2. Join the four vertices of the bar with highest frequency 3. Draw lines to intersect each other 4. Trace them to the base line 5. This point is the median BACK
  • 13. Chest in cm No. of students 68-74 5 75-81 31 82-88 40 89-95 20 95-102 3 103-109 1
  • 14. MODE frequency 84.5 45 40 35 30 25 20 15 10 frequency 5 0