Frequency distribution1
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A frequency distribution is a statistical method for organizing and summarizing data by grouping it into classes and counting the number of observations in each class. It arranges data in an orderly fashion after collection. There are two types: grouped frequency distributions where data is organized into classes, and ungrouped distributions where individual data points are listed in ascending order along with their frequencies. The key components of a frequency distribution include the class, class limits, class mark, class interval, class boundaries, class frequency and tally marks.
Frequency distribution1
- 2. FREQUENCY DISTRIBUTION………… Is a statistical method for summarizing the data’s. It orderly arranging data's, after collecting. when the data are grouped into classes of appropriate size indicating the number of observations in each class we get a frequency distribution.
- 3. FREQUENCY DISTRIBUTION………… A statistical data consist of a list of numbers related to a research, among those numbers , few may be repeated twice and more than twice. The repeating numbers in a data set is termed as ‘frequency’; that frequencies are listed in a table is known as ‘frequency distribution/table’.
- 4. FREQUENCY DISTRIBUTION………… Objectives…….. 1-To estimate the frequencies of the population . 2-To facilitate the analysis of data. 3-To facilitate computation of various statistical measures.
- 5. FREQUENCY DISTRIBUTION………… Components …… 1-class Groups according to size of data. 2-class limit The smallest and largest possible measurements in each classes. *lower limit *upper limit
- 6. FREQUENCY DISTRIBUTION………… 3-class mark Also known as middle value. ½(lower limit + upper limit) 4-Class interval Upper limit - lower limit 5-class boundaries
- 7. FREQUENCY DISTRIBUTION………… 6-Class frequency The number observations falling in each class. 7-Tally mark Strokes against each frequency observed.
- 8. FREQUENCY DISTRIBUTION………… x Frequency Tally 10-20 2 11 20-30 5 1111 30-40 5 1111 40-50 4 1111 classe s Class limit Lower limit 40 Upper limit 50 Class mark ½(lower +upper) ½(40+50) 0.5*90=45
- 9. FREQUENCY DISTRIBUTION………… Grouped frequency distribution. based on classes, forming frequency distribution table. Example: From the following data construct a grouped frequency distribution. 3,8,5,2,15,16,13,12,10,19,18,11
- 10. FREQUENCY DISTRIBUTION………… Classes Frequency Tally 0-5 2 11 5-10 2 11 10-15 4 1111 15-20 4 1111 3,8,5,2,15,16,13,12,10,19,18,11
- 11. FREQUENCY DISTRIBUTION………… Ungrouped frequency distribution These data’s not arranged in group, the are individual series. it arranging in ascending order. Example: From the following ,make a ungrouped frequency distribution. 11,12,5,3,11,13,17,13,5,5,11,5
- 12. FREQUENCY DISTRIBUTION………… 11,12,5,3,11,13,17,13,5,5,11,5 X Frequency Tally 3 1 1 5 4 1111 11 3 111 12 1 1 13 2 11 17 1 1