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THE FREQUENCY DISTRIBUTION TABLE. Table 1 The Frequency Distribution of the Ages of the Seventy-one Diabetic Patients at the Willi’s Knighton, Youree.

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Presentation on theme: "THE FREQUENCY DISTRIBUTION TABLE. Table 1 The Frequency Distribution of the Ages of the Seventy-one Diabetic Patients at the Willi’s Knighton, Youree."— Presentation transcript:

1 THE FREQUENCY DISTRIBUTION TABLE

2 Table 1 The Frequency Distribution of the Ages of the Seventy-one Diabetic Patients at the Willi’s Knighton, Youree LA Class IntervalClass LimitClass BoundariesClassmarksFrequency 20 – 24 19.5 – 24.5222 25 – 29 24.5 – 29.5273 30 – 34 29.5 – 34.5326 35 – 39 34.5 – 39.5378 40 – 44 39.5 – 44.5429 45 – 49 44.5 – 49.54711 50 – 54 49.5 – 54.55213 55 – 59 54.5 – 59.5579 60 – 64 59.5 – 64.5627 65 – 69 64.5 – 69.5673 i = 5 n = 71

3 Characteristics of the interval (i) 1. The difference between two consecutive lower class limits. 2. The difference between two consecutive upper class limits. 3. The difference between two consecutive class marks. 4. The difference between two consecutive class boundaries.

4 Evaluation: Solve the following problems 1. Using i = 4. Determine 9 class intervals starting at 32. Calculate the Class Limits, Class Boundaries and Class Marks. 2. Given the following class marks: 17, 24, 31, 38, 45, 52, 59, 66. Determine the Class Limits, Class Boundaries and the interval size.

5 Case: The data listed below are the cholesterol level of selected sixty applicant students at the Louisiana State University when inspected physically by the university doctor. 178176189154111156171144133149 167140134137132137142153165130 143129182169187128177149157117 154187170137143117122161128106 125165134123163131149129172162 132165145110176149155140109125 Construct a Frequency Distribution Table showing the Class Limits, Class Boundaries, Classmarks, the Tally and the Frequency.

6 Steps in Constructing the Frequency Distribution Table 1.Determine the Range. R = Highest Value – Lowest Value 2.Divide the Range by the desired number of class intervals. It is suggested to have 7 to 15 class intervals. R ÷ desired number of c.i. = interval size 3.Calculate the first lower limit. The first lower limit should be divisible by the interval. Lower Limit ≤ Lowest Value ÷ interval size 4.Derive the rest of the lower limits and the upper limits. Calculate the Class Boundaries and Class Marks. 5.Do tallying and finally, count the frequencies for each class intervals.

7 THE OTHER DERIVED FREQUENCY DISTRIBUTION

8 Definitions : 1. Relative Frequency – The percentage of scores that fall within a class interval or category. rf = f/n x 100% 2.Cumulative Percentage Frequency – The percentage of scores that fall below and above a class interval or category. cpf = cf/n x 100%

9 Table 1 The Frequency Distribution of the Ages of the Seventy-one Diabetic Patients at the Willi’s Knighton, Youree LA Class IntervalClass LimitClass BoundariesClassmarksFrequency 20 – 24 19.5 – 24.5222 25 – 29 24.5 – 29.5273 30 – 34 29.5 – 34.5326 35 – 39 34.5 – 39.5378 40 – 44 39.5 – 44.5429 45 – 49 44.5 – 49.54711 50 – 54 49.5 – 54.55213 55 – 59 54.5 – 59.5579 60 – 64 59.5 – 64.5627 65 – 69 64.5 – 69.5673 i = 5 n = 71

10 Table 1.1 The Percentage Distribution of the Ages of the Seventy-one Diabetic Patients at Willi’s Knighton, Youree LA Class IntervalFrequencyRelative Frequency 20 – 242 25 – 293 30 – 346 35 – 398 40 – 449 45 – 4911 50 – 5413 55 – 599 60 – 647 65 – 693 i = 5 n = 71100%

11 Table 1.1 The Percentage Distribution of the Ages of the Seventy-one Diabetic Patients at Willi’s Knighton, Youree LA Class IntervalFrequencyRelative Frequency 20 – 2422.822 - 71 2.82 - 100.00 25 – 2934.235 - 697.04 - 97.18 30 – 3468.4511 - 6615.49 - 92.96 35 – 39811.2719 - 6026.76 - 84.51 40 – 44912.6828 - 5239.44 - 73.24 45 – 491115.4939 - 4354.93 - 60.56 50 – 541318.3152 - 3273.24 - 45.07 55 – 59912.6861 - 1985.92 - 26.76 60 – 6479.8668 - 1095.77 - 14.08 65 – 6934.2371 - 3100.00 - 4.23 i = 5 n = 71100%

12 Table 2.1 The Percentage Distribution of the Cholesterol Level of the Sixty Student Applicants at The Louisiana State University Class IntervalFrequencyRelative Frequency 104 – 1114 112 – 1193 120 – 1276 128 – 13510 136 – 1438 144 – 1517 152 – 1597 160 – 1676 168 – 1755 176 – 1813 182 – 1891 i = 8 n = 60

13 Table 2.1 The Percentage Distribution of the Cholesterol Level of the Sixty Student Applicants at The Louisiana State University Class IntervalFrequencyRelative Frequency 104 – 11146.674 – 606.67 – 100.00 112 – 11935.007 – 5611.67 – 93.33 120 – 127610.0013 – 5321.67 – 88.33 128 – 1351016.6723 – 4738.33 – 78.33 136 – 143813.3331 – 3751.67 – 61.67 144 – 151711.6738 – 2963.33 – 48.33 152 – 159711.6745 – 2275.00 – 36.67 160 – 167610.0051 – 1585.00 – 25.00 168 – 17558.3356 – 993.33 – 15.00 176 – 18135.0059 – 498.33 – 6.67 182 – 18911.6760 – 1100.00 – 1.67 i = 8 n = 60


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