Frequency Distribution A tabular arrangement of data by classes together with the corresponding - PowerPoint Presentation

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Uploaded On 2023-10-31

Frequency Distribution A tabular arrangement of data by classes together with the corresponding - PPT Presentation

EX1 The following data explain the car accidents in 13 city 50 69 53 74 61 68 62 51 71 61 79 59 63 Solution Step 1 Data Arrangement 50 51 53 59 61 61 62 63 68 69 71 74 79 ID: 1027735

frequency class step find class frequency find step interval limit classes 23123 data equal number 55352 cumulative classesfrequencymid upper

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1. Frequency Distribution

2. A tabular arrangement of data by classes together with the corresponding classes frequency.

3. EX1: The following data explain the car accidents in 13 city:50 , 69 , 53 , 74 , 61 , 68 , 62 , 51 , 71 , 61 , 79 , 59, 63 .Solution //Step 1: Data Arrangement:50 , 51 , 53 , 59 , 61 , 61 , 62 , 63 , 68 , 69 , 71 , 74 , 79Step 2: Find the rang (R) which is equal to:Rang = the greatest value – the smallest value +1 R = 79 – 50 + 1 = 30.

4. Step 3: Find the number of Classes (M) which is equal to: M = 2.5 = 2.5 = 4.74 ͠= 5OR M = 1 + 3.3 log n = 1 + 3.3 log 13 = 4.67 = 5Step 4: Find the length of the class or interval which is equal to: L = = = 6

5. Step 5: Find the boundaries of the class:Determine the lower limit of the class = 50 (the smallest value).Determine the upper limit of the class = the lower limit of the class + the length of the class – 1The Upper limit of the class = 50 + 6 – 1 = 55

6. Step 6: Construct the frequency table: a -The Classes and Frequency : ClassesFrequency50 - 55356 - 61362 - 67268 - 73374 - 792Total13

7. ClassesFrequencyMid Class50 - 55352.556 - 61358.562 - 67264.568 - 73370.574 - 79276.5Total13 B - Find the Mid Class: = = 52.5

10.

11. Cumulative frequency: This is calculated by adding the number of observation in each class interval to the number of observations in the class interval above, starting from the second class interval onward.

12. ClassesFrequencyMid ClassTrue LimitsRelative F.Percentage F.Cumulative Frequency50 - 55352.549.5 – 55.50.23123.1%356 - 61358.555.5 – 61.50.23123.1%662 - 67264.561.5 – 67.50.15415.4%868 - 73370.567.2 – 73.50.23123.1%1174 - 79276.573.5 – 79.50.15415.4%13Total13