Frequency Distribution

Frequency-distribution chart or Frequency distribution is a method to present raw data in the form, from which one can easily understand the information contained in the raw data.
The construction of a frequency-distribution from the given raw data is done by the use of the
method of tally marks.

How to give tally marks .



BUT the 5th mark is drawn ACROSS the previous 4 marks:

Remember : every fifth mark is drawn across the previous 4 marks


Example 1 : Write 13 as tally mark.

Solution :
13 = 5 + 5 + 3 ( use of 5 )

13 =


Example 2 : Given below are the marks of 25 students of class 8th in a school. Prepare a frequency-distribution table.
15,16,16,14,17,17,16,15,15,16,16,17,15,16,16,14,16,15,14,15,16,16,15,14,15

Marks Tally bars Frequency
14
||||
4
15
8
16
10
17
|||
3
Total
-------
25

Range = Highest score - Lowest score
From the above , we can say that,
Highest score = 17 and Lowest score = 14 and so Range = 17 – 14 = 3
_________________________________________________________________
Example 3: Following table shows the points of scores each player plays :

Player Game 1 Game 2 Game 3 Game 4
A
14
16
10
10
B
0
8
6
4
c
8
11
Did not play
13

1) Find the average scores of three players.
2) Who is the best performer?

Solution :
Average score of player A =( 14 + 16 + 10 + 10)/ 4 = 50 / 4 = 12.5
Average score of player B =( 0 + 8 + 6 + 4)/ 4 = 18 / 4 = 4.5
Average score of player C =( 8 + 11 + 13 )/ 4 = 32 / 3 = 10.66
So from above, the average score of player A is more.So player A is the best performer.


Statistics

Statistics
Pictograph
Pie chart
Bar Graph
Double Bar Graph
Histogram
Frequency polygon
Frequency distribution (Discrete )
Frequency distribution continuous (or grouped)
Measures of central tendency ( Mean, Mode and Median)
Ogive or Frequency curve.

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