Construct a frequency histogram Ms Lubna Ineirat Lead Time days Frequency 1 up

Construct a frequency histogram ms lubna ineirat lead

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in days. Construct a frequency histogram? Ms. Lubna Ineirat Lead Time (days) Frequency 1 up to 5 6 5 up to 9 7 9 up to A 11 13 up to 17 B 17 up to 21 7 Total 40 43
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Age Group (in years) Frequency Relative frequency Cumulative frequency 5 - 14 6 0.08 6 15 - 24 A C 15 25 - 34 B 0.24 E G - 44 24 D 57 45 - 54 15 0.20 F 55 - H 3 0.04 75 Ms. Lubna Ineirat Example: the following information has been collected from 75 patients who visited the diabetic clinic in Ramallah. Complete the table . 44
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Homework : Complete the following table: Ms. Lubna Ineirat 45 class Frequency Relative frequency 8 - 10 2 F A 4 0.2 14 - 16 C G 17 - M D 0.4 B I H Total E 1
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Summary Descriptive Measures measures of central Tendency measures of variability measures of central Tendency(Mean / median /mode ) 1. Mean Population mean μ = , N is population size. Sample mean , n is sample size. Example : evaluate x a. 3, 4, 5, 3, 2 b. 3, 4, 5, 3, 2, 20 c. 3, 4, 5, 3, 2, -10 Ms. Lubna Ineirat 46 X i x n x i N Note:
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Mean for frequency table Homework : evaluate x Ms. Lubna Ineirat 47 Mark Frequency 90 1 85 3 80 2 70 4 Total # of decayed teeth Frequency 0 1 1 2 2 4 3 5 4 2 5 2 Total
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Example : Find (Approximate x) Homework: the following information has been collected from a sample of 25 children who visited the diabetic clinic in Jenin: Ms. Lubna Ineirat 48 grades Frequency 1 - 5 6 6 - 10 9 11 - 15 12 16 - 20 3 Total
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Example : the following information has been collected from a sample of 25 children who visited the diabetic clinic . 1. Estimate the sample mean. 2. What is the percentage of the children who weighs more than 15 kgs? 3. What is the percentage of the children who weighs up to 11 kgs? 4. Estimate the mean weight in the third class? 5. What is the approximate number in the second class? Ms. Lubna Ineirat 49 Weight in (kgs) Frequency 4 - 7 2 8 - 11 8 12 - 15 11 16 - 19 4 Total
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Homework : fill in the blank the following table: 1. Estimate the sample mean. 2. What is the percentage of the data more than 5 kgs? 3. What is the percentage of the data less than 8 kgs? 4. Estimate the mean in the second class? 5. What is the approximate number of he fourth class? Ms. Lubna Ineirat 50 classes Frequency 2 - 4 1 5 - A C 8 - 10 8 11 - B 3 Total 15
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Homework: consider the following frequency table that represents marks for students. a. Find the mean ? b. Find the standard deviation? c. What is the approximate number in the second class? d. Estimate the total Marks in the forth class? e. What is the expected Mark for a students in the interval 16-20? Ms. Lubna Ineirat 51 Grades Frequency - 10 2 11 - 15 5 16 - 20 7 - Total 10
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Mode : the observation with largest frequency Example : find the mode for the following data a. 1, 2, 4, 5 ,4 ,6 ,2. b. 2, 2, 4, 4, 5, 5, 6, 6, 8, 8. c. 1, 2, 3, 3, 2, 3, 5, 6, 7 Ms. Lubna Ineirat 52
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Median(Md) : is the value that divides the data set into two equal parts. First step to find the median is to Order the data from smallest to largest value Example : find the median for the following data 1. 3 , 5, 7, 8, 10, 15 2. 21, 19, 23, 25, 18, 9, 7,9,22 3. 35, 47, 48, 50, 53, 57,61, 70, 72, 80 Ms. Lubna Ineirat 53
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Example : find the median Ms. Lubna Ineirat 54 Note:
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Measure of Variability ( range / variance / standard deviation) Range = max min .
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