Fdt

FDT Shut Down Relative Freq. & Cumulative Frequency Start

Frequency Distribution Table (FDT) ,[object Object],Next End

Example: Suppose we are given a set of raw numerical data. ,[object Object],Source: Elementary Statistical manual The following may be used as a guide in constructing an FDT (note that if there is an existing set of class intervals for the specific data, then steps 1 to __ will not apply) Highest value lowest value Number of observations 20 25 30 36 38 40 40 42 45 48 50 53 56 58 60 64 66 68 70 72 74 80 88 90 96 100 120 130 135 140 150 152 Next FDT

Steps in Constructing a (FDT) Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7

Step 1: Find the range R. ,[object Object],[object Object],[object Object],[object Object],Back Step 2 Step 3 Step 4 Step 5 Step 6 Step 7

Step 2: Estimate the number of classes or intervals , k. ,[object Object],[object Object],[object Object],[object Object],[object Object],Back Step 1 Step 3 Step 4 Step 5 Step 6 Step 7

Step 3: Estimate the class width c of each interval. ,[object Object],[object Object],[object Object],[object Object],[object Object],Back Step 1 Step 2 Step 4 Step 5 Step 6 Step 7

Step 4: List the lower and upper class limits of the first interval. Class Interval 20 – 41 42 – 63 64 – 85 86 – 107 108 – 129 130 – 151 152 - 173 Back Step 1 Step 2 Step 3 Step 5 Step 6 Step 7

[object Object],[object Object],Step 5: Back Step 1 Step 2 Step 3 Step 4 Step 6 Step 7

Step 6: ,[object Object],Average Monthly Kilowatt-hours of Households in Barangay Santiago Class Interval Tally Frequency 20 – 41 IIII-II 7 42 – 63 IIII-IIII 8 64 – 85 IIII-II 7 86 – 107 IIII 4 108 – 129 I 1 130 – 151 IIII 4 152 - 173 I 1 Back Step 1 Step 2 Step 3 Step 4 Step 5 Step 7

Step 7: Compute the class marks and class boundaries of each class intervals ,[object Object],[object Object],[object Object],[object Object],Next

Average Monthly Kilowatt-hours of Households in Barangay Santiago 20 – (1/2)(1.0) 41 + (1/2)(1.0) Class Interval Tally Frequency Class boundary 20 – 41 IIII-II 7 19.5 – 41.5 42 – 63 IIII-IIII 8 41.5 – 63.5 64 – 85 IIII-II 7 63.5 – 85.5 86 – 107 IIII 4 85.5 – 107.5 108 – 129 I 1 107.5 – 129.5 130 – 151 IIII 4 129.5 – 151.5 152 - 173 I 1 151.5 – 173.5 Back Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7:

Variations of the FDT include relative and cumulative frequencies. ,[object Object],Relative Frequency = Frequency/ Total Frequency Cumulative Frequency = It is the 'running total' of frequencies. =1/32 =4/32 =1/32 + + + End FDT

Fdt

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