Frequency distribution 6
- 1. Frequency Distribution Nadeem Shoukat MS Clinical Psychology
- 4. AGENDA 1.Basic Concepts of FD 2.Objectives of FD 3.Components of FD 4.How to Construct FD Table 5.Types of FD 6.How we graphically represents FD
- 5. A Statistical data consist of a list of numbers related to a research, among those numbers, few may be repeated twice & more than twice. The repeating number in a data is termed as frequency Distribution: Arrangement of data according to the values of variable characteristics called distribution
- 6. Student were asked to rate the quality of teaching at RIPHAH as being excellent, above average, average, below average, or poor. Example Below Average Average Above Average Above Average Above Average Above Average Above Average Below Average Below Average Average Poor Poor Above Average Excellent Above Average Average Above Average Average Above Average Average Average
- 7. Frequency Distribution Rating ƒ Poor 2 Below Average 3 Average 6 Above Average 9 Excellent 1 Total 21
- 8. Frequency Distribution The organization of data into group/classes along with number of observation called frequency distribution or simply frequency. It is denoted by ƒ.
- 9. Objectives of Frequency Distribution 1. Condense & Large data can be summarized. 2. We can analyze the nature of data. 3. Describe all variables types 4. Facilitate graphical representation of data
- 10. Components of Frequency Distribution 1. Class Interval: Upper Limit – Lower Limit 2. Tally Mark: Stroke against each frequency is observed 3. Class Frequency: Number of Observation falling in each class 4. Class Mark/Mid Point: (Lower Limit + Upper Limit)/2
- 20. Frequency Distribution Table CI Tally Frequency Class Boundaries Class Mark Relative Frequency Cumulative Frequency <c f >c f 70-74 8 69.5 - 74.5 72 16% 8 50 75-79 8 74.5 - 79.5 77 16% 16 42 80-84 5 79.5 - 84.5 82 10% 21 34 85-89 11 84.5 - 89.5 87 22% 32 29 90-94 10 89.5 - 94.5 92 20% 42 18 95-99 4 94.5 - 99.5 97 8% 46 8 100-104 4 99.5 - 104.5 102 8% 50 4
- 25. Histogram A graph consisting of bars of equal width drawn adjacent to each other. The horizontal scale represents the classes of quantitative data values and the vertical scale represents the frequencies. The heights of the bars correspond to the frequency values.
- 26. Histogram 8 8 5 11 10 4 4 0 2 4 6 8 10 12Class Interval Frequency 70-74 8 75-79 8 80-84 5 85-89 11 90-94 10 95-99 4 100-104 4
- 27. Pie Chart A pie chart or circle chart is a circular statistical graph, which is divided into slices to illustrate numerical proportion. A graph depicting qualitative data as slices of a circle, size of slice is proportional to frequency count.
- 28. Pie Chart Class Interval Frequency 70-74 8 75-79 8 80-84 5 85-89 11 90-94 10 95-99 4 100-104 4 70-74 16% 75-79 16% 80-84 10% 85-89 22% 90-94 20% 95-99 8% 100-104 8%