Steps in Constructing a Frequency Distribution Table.pptx

8,809 views 31 slides Jun 24, 2023
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About This Presentation

Tutorial on how to construct Frequency Distribution Table


Slide Content

1 4 9 6 3 7 5 2 8 Steps in Constructing a Frequency Distribution Table Educ 98 Statistics in Education

Determine the use and types of Frequency Distribution Table Appreciate the importance of constructing Frequency Distribution T able. By the end of this lesson... 1 3 8 4 9 7 5 6 2 Understand the terms used in Constructing a Frequency Distribution Table.

Steps in Constructing a Frequency Table

Grouped Frequency Distribution Table To arrange a large number of observations or data, we use grouped frequency distribution table. In this, we form class intervals to tally the frequency for the data that belongs to that particular class interval.

Steps in Constructing a Frequency Table

Steps in Constructing a Frequency Table

Steps in Constructing a Frequency Table

Steps in Constructing a Frequency Table

Decide on the number of class intervals. There should not be too many to avoid many empty classes, and there should not be few to avoid long details. k=1+3.22 log N

k=(1+3.22 log N) =[1+3.22(1.47712125] =1+ 4. 874 50014 k=5.874 or 6 N = NO. OF DATA N=30

Decide on the number of class intervals. There should not be too many to avoid many empty classes, and there should not be few to avoid long details. k=1+3.22 log N

k=(1+3.22 log N) =[1+3.22(1.47712125] =1+4.75633044 k=5.756 or 6 N = NO. OF DATA N=30

K

Step 1 : Range = 28-8= 20 Step 2 k=(1+3.22 log N) =[1+3.22(1.47712125] =1+4.75633044 k=5.756 or 6 Step 3 : i = Range / k = 20 / 6 = 3.33 or 4

4. Starting from the larger integer less than or equal to the minimum score, construct class intervals of size ( i ) until the maximum score is reached.

5. Tally the scores in appropriate classes and then add tallies for each class in order to obtain the frequency.

Compute the Range. The R, is defined as the difference between the highest score and the lowest score. Decide on the number of class intervals. There should not be too many to avoid many empty classes, and there should not be few to avoid long details. Use the formula suggested by Sturge. k=1+3.3 log N 3. Divide the range R by the number of class intervals (k) to obtain the size of class interval: i=R/k or c=R/k WHAT ARE THE STEPS IN CONSTRUCTING A FREQUENCY DISTRIBUTION TABLE?

4. Starting from the larger integer less than or equal to the minimum score, construct class intervals of size ( i ) until the maximum score is reached. 5. Set up the class boundaries. 6. Tally the scores in appropriate classes and then add tallies for each class in order to obtain the frequency. 7. Solve the class mark or midpoint of each class. This is obtained by adding the lowest class limit and the upper class limit, then divide by 2. WHAT ARE THE STEPS IN CONSTRUCTING A FREQUENCY DISTRIBUTION TABLE?

Class limits Class Boundaries Tally Frequency Class mark/ midpoint 11-18 10.5-18.5 11111111 8 14.5 19-26 18.5-26.5 1111 4 22.5 27-34 26.5-34.5 111111 6 35-42 34.5-42.5 11111111 8 38.5 43-50 11111111 8 51-58 50.5-58.5 111111 6 54.5 59-66 58.5-66.5 111111 6 62.5 67-74 11 2 T=48

Class limits Class Boundaries Tally Frequency Class mark/ midpoint 11-18 10.5-18.5 11111111 8 14.5 19-26 18.5-26.5 1111 4 22.5 27-34 26.5-34.5 111111 6 30.5 35-42 34.5-42.5 11111111 8 38.5 43-50 42.5-50.5 11111111 8 46.5 51-58 50.5-58.5 111111 6 54.5 59-66 58.5-66.5 111111 6 62.5 67-74 66.5-74.5 11 2 70.5 T=48

Ungrouped Frequency Distribution Table in the ungrouped frequency distribution table , we don't make class intervals, we write the accurate frequency of individual data. considering the above example, the ungrouped table will be like this. given below table shows two columns: one is of Marks obtained in the Test and the second is of Frequency ( no. of students ). Marks obtained in Test Frequency 5 3 10 4 15 5 18 4 20 4 TOTAL 20

8 https://www.youtube.com/watch?v=lZwHtvqnADk 1 4 9 6 3 7 5 2 Reference: https://www.youtube.com/watch?v=kKE_VnW-npQ

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