11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) Objectives : 1) سوف يتعلم الطالب تمثيل البيانات بجدول التوزيع.

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11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) Objectives : 1) سوف يتعلم الطالب تمثيل البيانات بجدول التوزيع التكراري 2 ) سوف يتعلم الطالب بناء جدول التكرار التراكمي 3 ) سوف يتعلم الطالب تمثيل البيانات بمدرج تكراري وبمضلع تكراري الأهداف : 1 ) The student will learn to represent a given set of data in a frequency distribution table. 2)The student will learn to construct the cumulative frequency table 3) the student will learn to represent the data by frequency histogram and frequency polygon. Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) المصطلحات :Key words : Statistics : الإحصاء Data : البيانات Frequency : التكرار Frequency distribution table : جدول التوزيع التكراري Cumulative frequency : التكرار التراكمي Frequency histogram : المدرج التكراري Frequency polygon : المضلع التكراري Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) Example A dice was rolled 20 times, the results are given below : 3, 2, 4, 2, 2, 3, 2, 6, 5, 5, 1, 1, 2, 3, 5, 2, 1, 4, 1, 6 We can represent the data in a frequency distribution table : Upper facetallyFrequency total نتائج إلقاء حجر نرد 20 مرة يمكن تمثيل البيانات بجدول التوزيع التكراري Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) We can represent the data in a frequency histogram : Upper faceFrequency total Upper face frequency يمكن تمثيل البيانات بمدرج تكراري Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) We can represent the data in a frequency polygon : Upper faceFrequency total Upper face frequency يمكن تمثيل البيانات بمضلع تكراري Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) The cumulative frequency is the total frequency up to and including a value. The cumulative frequency table Upper faceFrequency ( f ) Cumulative frequency ( c f ) total20 التكرار التراكمي هو مجموع التكرارات حتى أخر قيمة بالإضافة لتكرار تلك القيمة جدول التكرار التراكمي Day and date : Thu. 10 / 2 / 2011

11 : 01 Frequency and Cumulative Frequency 11 : 01 التكرار والتكرار التراكمي ( المتجمع ) Day and date : Thu. 10 / 2 / 2011 The ages of a random sample of 25 students are given below : age ( f )( c f ) total أعمار عينة عشوائية من 25 طالب كما يلي : * أكمل جدول التكرار والتكرار التراكمي لعرض هذه البيانات worksheet * Complete the frequency and cumulative frequency table to represent the data 12, 13, 16, 15, 14, 13, 16, 15, 13, 12, 12, 13, 15, 14, 15, 13, 14, 13,15, 12, 15, 13, 14, 12, 13 * ارسم المدرج والمضلع التكراريين * Draw the frequency histogram and the frequency polygon Mohamad badawi Mohamad badawi