The Frequency distribution table.pptx

Frequency Distribution Table

1. The Frequency distribution table

2. FREQUENCY DISTRIBUTION A frequency distribution is a way of presenting and organizing the data collected in tabular from using classes and frequencies. GROUPED DATA UNGROUPED DATA Grouped Data are organized and arrange into different classes and categories. Having an interval or ratio – level data, and beyond a sample size of 30. Frequencies of each data point are clustered in a specific class interval. Ungrouped Data are recorded as they occur, as they come, or as they happen. Classifies a given data set (usually n≤30) under a specific category or class. Frequencies of each data is treated as individual data points or as discrete data.

3. FREQUENCY DISTRIBUTION TABLE A frequency distribution table shows the data arrange into different classes and the number of cases that fall into each class. Frequency is the number of times a certain value or class of values occurs.

4. UNGROUPED DATA GROUPED DATA SCORE TALLY FREQUENCY 3 4 5 6 7 8 9 10 SCORE FREQUENCY 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99

5. UNGROUPED DATA Example: The scores of twenty grade 7 students in a 10-items math quiz are as follows: 3 10 6 8 8 9 5 3 6 7 7 9 6 7 8 7 4 5 7 6

6. Step 1: Construct a table with three columns. The first column shows what is being arranged in ascending order. SCORE TALLY FREQUENCY 3 4 5 6 7 8 9 10 3 10 6 8 8 9 5 3 6 7 7 9 6 7 8 7 4 5 7 6 3 10

7. Step 2: Go through the list of scores. The score in the list is 3, so put a tally mark or a thick mark at 3 in the second column. SCORE TALLY FREQUENCY 3 4 5 6 7 8 9 10 3 10 6 8 8 9 5 3 6 7 7 9 6 7 8 7 4 5 7 6

8. Step 3: Count the number of tally marks for each score and write it in third column. The finished frequency table is as follows: SCORE TALLY FREQUENCY 3 II 4 I 5 II 6 IIII 7 IIIII 8 III 9 II 10 I Total 2 1 4 2 5 3 2 1 n = 20

9. Example 2: Twenty-five positive cases of Covid-19 were given a blood test to determine their blood type. The data sets is as follows: A B B AB O O O B AB B B B O A O A O O O AB AB A O B A

10. BLOOD TYPE TALLY FREQUENCY A B O AB Total A B B AB O O O B AB B B B O A O A O O O AB AB A O B A 5 4 9 7 n = 25

11. GROUPED DATA Lower class limit - the smallest data value that can be included in the class. Upper class limit - the largest data value that can be included in the class. Class boundaries - are used to separate the classes so that there are no gaps in the frequency distribution. Class marks - the midpoint of the classes (Average).   Class width - the difference between two consecutive class limit. Class Interval 50 – 54 55 – 59 60 – 64 65 – 69 70 – 74 75 - 79

12. Example 1. Construct a frequency distribution table given the set of data using 6 classes. Score of 40 Students in math quiz 86 83 81 81 86 91 79 82 81 87 87 83 82 72 73 78 87 70 90 75 80 82 89 98 89 80 96 76 99 71 88 85 82 90 91 94 72 83 74 85 Step 1. Find the range. = HN – LN = 99 – 70 = 29

13. Example 1. Construct a frequency distribution table given the set of data using 6 classes. Score of 40 Students in math quiz 86 83 81 81 86 91 79 82 81 87 87 83 82 72 73 78 87 70 90 75 80 82 89 98 89 80 96 76 99 71 88 85 82 90 91 94 72 83 74 85 Step 2. Decide on the number of classes. = 6 Where k = unknown number ; n = total number of correspondent  

14. Example 1. Construct a frequency distribution table given the set of data using 6 classes. Score of 40 Students in math quiz 86 83 81 81 86 91 79 82 81 87 87 83 82 72 73 78 87 70 90 75 80 82 89 98 89 80 96 76 99 71 88 85 82 90 91 94 72 83 74 85 range = 29 No. of classes = 6 Step 3. Find the class width. Divide the range by the number of classes. Class width = = = 4.833… = 5  

15. Example 1. Construct a frequency distribution table given the set of data using 6 classes. Score of 40 Students in math quiz 86 83 81 81 86 91 79 82 81 87 87 83 82 72 73 78 87 70 90 75 80 82 89 98 89 80 96 76 99 71 88 85 82 90 91 94 72 83 74 85 Step 4 : Add the ‘class width’ to the starting point to get the second lower class limit. Then enter the upper class limit. Step 5 : Represent each score by a tally count the total frequency of each class.

16. Example 1. Construct a frequency distribution table given the set of data using 6 classes. Score of 40 Students in math quiz 86 83 81 81 86 91 79 82 81 87 87 83 82 72 73 78 87 70 90 75 80 82 89 98 89 80 96 76 99 71 88 85 82 90 91 94 72 83 74 85 Class Interval Tally Frequency 70 – 74 3 75 – 79 5 80 – 84 9 85 – 89 13 90 – 94 4 95 - 99 6 No. of classes = 6 Class width = 5

17. Class Interval Tally Frequency (f) Class boundaries Class mark 70 – 74 3 69.5 – 74.5 72 75 – 79 5 74.5 – 79.5 77 80 – 84 9 79.5 – 84.5 82 85 – 89 13 84.5 – 89.5 87 90 – 94 4 89.5 – 94.5 92 95 - 99 6 94.5 – 99.5 97 Example 1. Construct a frequency distribution table given the set of data using 6 classes. n = 40 =  

18. STATISTICAL GRAPHS