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A tabular arrangement of data that
shows the frequency of occurrence
of the different values of the
variables.
๏ฝ It is use to rank the disorganized data
  from highest to lowest or vice versa.
๏ฝ It is use to organize tabulation of the no. of

  the individual scores located in each
  category X for score and f for the
  frequency.
๏ฝ It is use to summarizes the distribution of

  the values.
๏ฝ Class interval - the range of such class of data
  is called the Class Interval.
๏ฝ Class limit - The lower and upper limits of a
  class interval are known as Class Limits.
๏ฝ Class boundaries โ€“ the values between the
  upper limit of one interval and the lower limit of the
  next interval.
๏ฝ Class mark - Midpoint of a class interval.
๏ฝ Class frequency - Refers to the number of
  observation belonging to a class interval.
๏ฝ Class size - the total number of observations on
  which class interval is formed.
๏ฝ   Problem A:ย Using following data, construct a
    frequency distribution table of weight of 50 boys. Use
    8 class intervals of equal size and also find class
    boundaries and mid class. 125, 108, 119, 115, 129,
    140, 137, 130, 129, 124, 111, 100, 127, 130, 150, 96,
    141, 122, 122, 136, 92, 124, 139, 109, 105, 114, 131,
    124, 136, 132, 151, 127, 125, 123, 119, 124, 134,
    129, 104, 102, 125, 148, 143, 124, 123, 101, 147,
    100, 126, 131.
๏ฝ
๏ฝ   Ascending Order:
    92, 96, 100, 100, 101, 102, 104, 105, 108, 109,
    111, 114, 115, 119, 119, 122, 122, 123, 123, 124,
    124, 124, 124, 124, 125, 125, 125, 126, 127, 127,
    129, 129, 129, 130, 130, 131, 131, 132, 134, 136,
    136, 137, 139, 140, 141, 143, 147, 148, 150, 151.
๏ฝRange = Largest Observation - Smallest
 Observation
Here,ย 
 Largest Observation = 151ย 
 Smallest Observation = 92ย 
 Range = 151 - 92 = 59
๏ฝFrom the problem we use 8 class intervals of
 equal size and the range for the given data is 59,
 so in order to find the size of class interval.
The formula will be;
 Size of class interval =         Range
               Total no. of class intervalsย 
  Size of class interval = 59/8 = 7.375 = 8
 (note: in case the fraction appears, the next higher
 whole number is usually taken as the size of the
 class interval).
Weigh t          Tally            frequency

 92-98              II                2

99-106           IIIII I              6

107-114            IIII               4

115-122           IIIII               5

123-130   IIIII IIIII IIIII III      18

131-138          IIIII II             7

139-146            IIII               4

147-154            IIII               4
Prepared by : Ms. Ma. Teresa B. Berondo
Prof.: Maria Fe Gueta
Inferential Statistic

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Report frequency distribution table

  • 1. A tabular arrangement of data that shows the frequency of occurrence of the different values of the variables.
  • 2. ๏ฝ It is use to rank the disorganized data from highest to lowest or vice versa. ๏ฝ It is use to organize tabulation of the no. of the individual scores located in each category X for score and f for the frequency. ๏ฝ It is use to summarizes the distribution of the values.
  • 3. ๏ฝ Class interval - the range of such class of data is called the Class Interval. ๏ฝ Class limit - The lower and upper limits of a class interval are known as Class Limits. ๏ฝ Class boundaries โ€“ the values between the upper limit of one interval and the lower limit of the next interval. ๏ฝ Class mark - Midpoint of a class interval. ๏ฝ Class frequency - Refers to the number of observation belonging to a class interval. ๏ฝ Class size - the total number of observations on which class interval is formed.
  • 4. ๏ฝ Problem A:ย Using following data, construct a frequency distribution table of weight of 50 boys. Use 8 class intervals of equal size and also find class boundaries and mid class. 125, 108, 119, 115, 129, 140, 137, 130, 129, 124, 111, 100, 127, 130, 150, 96, 141, 122, 122, 136, 92, 124, 139, 109, 105, 114, 131, 124, 136, 132, 151, 127, 125, 123, 119, 124, 134, 129, 104, 102, 125, 148, 143, 124, 123, 101, 147, 100, 126, 131. ๏ฝ
  • 5. ๏ฝ Ascending Order: 92, 96, 100, 100, 101, 102, 104, 105, 108, 109, 111, 114, 115, 119, 119, 122, 122, 123, 123, 124, 124, 124, 124, 124, 125, 125, 125, 126, 127, 127, 129, 129, 129, 130, 130, 131, 131, 132, 134, 136, 136, 137, 139, 140, 141, 143, 147, 148, 150, 151.
  • 6. ๏ฝRange = Largest Observation - Smallest Observation Here,ย  Largest Observation = 151ย  Smallest Observation = 92ย  Range = 151 - 92 = 59
  • 7. ๏ฝFrom the problem we use 8 class intervals of equal size and the range for the given data is 59, so in order to find the size of class interval. The formula will be; Size of class interval = Range Total no. of class intervalsย  Size of class interval = 59/8 = 7.375 = 8 (note: in case the fraction appears, the next higher whole number is usually taken as the size of the class interval).
  • 8. Weigh t Tally frequency 92-98 II 2 99-106 IIIII I 6 107-114 IIII 4 115-122 IIIII 5 123-130 IIIII IIIII IIIII III 18 131-138 IIIII II 7 139-146 IIII 4 147-154 IIII 4
  • 9.
  • 10. Prepared by : Ms. Ma. Teresa B. Berondo Prof.: Maria Fe Gueta Inferential Statistic