حساب زوايا القطاعات الدائرية - كتاب الإحصاء - الصف 12 - الفصل 1 - المملكة العربية السعودية

يعرض التمثيل المجاور القطاعات الدائرية لساعات الدراسة لطلاب المرحلة الثانوية، مقسمة حسب الصف الدراسي. احسب زاوية كل فئة من قطاعات الدائرة.

الحل:

لماذا لا يمكن تمثيل البيانات الآتية باستعمال القطاعات الدائرية؟

63

--- SECTION: 3 --- يعرض التمثيل المجاور القطاعات الدائرية لساعات الدراسة لطلاب المرحلة الثانوية، مقسمة حسب الصف الدراسي. احسب زاوية كل فئة من قطاعات الدائرة. الحل: --- SECTION: تفكير ناقد --- لماذا لا يمكن تمثيل البيانات الآتية باستعمال القطاعات الدائرية؟ 63 --- VISUAL CONTEXT --- **CHART**: ساعات المذاكرة لطلاب المرحلة الثانوية Description: A pie chart illustrating the distribution of study hours among high school students across three academic years. Each sector represents a different year, with its size proportional to the number of hours. The chart is color-coded with a legend below. Data: The pie chart shows three categories of study hours for high school students. The largest sector, colored green, represents 35 units. The medium sector, colored blue, represents 20 units. The smallest sector, colored dark blue, represents 15 units. The total sum of units is 70. Key Values: First Year Secondary: 20 units, Second Year Secondary: 15 units, Third Year Secondary: 35 units, Total: 70 units Context: This pie chart is used in Example 3 to demonstrate how to calculate the angle for each sector based on given frequencies, which is a fundamental step in constructing a pie chart. **TABLE**: Untitled Description: A table presenting the solution steps for Example 3, showing the class, frequency, relative frequency, and calculated angle for each category of study hours. Table Structure: Headers: الصف | التكرار | التكرار النسبي | الزاوية Rows: Row 1: الأول الثانوي | 20 | 20/70 = 0.29 | 0.29 × 360 = 104.4 Row 2: الثاني الثانوي | 15 | 15/70 = 0.21 | 0.21 × 360 = 75.6 Row 3: الثالث الثانوي | 35 | 35/70 = 0.5 | 0.5 × 360 = 180 Row 4: المجموع | 70 | 1 | 360 Calculation needed: Calculations for relative frequency and sector angle for a pie chart. Data: The table details the calculation of angles for a pie chart. It lists three classes (First, Second, Third Secondary), their frequencies, relative frequencies (frequency divided by total frequency), and the corresponding angle in degrees (relative frequency multiplied by 360). Context: This table provides a step-by-step solution for calculating the angles required to draw a pie chart, demonstrating the conversion of raw frequencies into proportional angles. **TABLE**: نسبة الأسهم التي يملكها زياد في شركات مختلفة Description: A table showing the percentage of shares owned by Ziad in various companies across different sectors. This table is presented as part of a critical thinking question. Table Structure: Headers: القطاع | النسبة Rows: Row 1: الصناعات الكيميائية | 35% Row 2: المواشي | 12.5% Row 3: البناء والتشييد | 67.7% Row 4: الأسمنت القابضة | 42.3% Row 5: الزراعية | 19% Calculation needed: The sum of percentages (35 + 12.5 + 67.7 + 42.3 + 19 = 176.5%) exceeds 100%, which is the reason why this data cannot be represented by a single pie chart. Data: The table lists five different economic sectors and the percentage of shares Ziad owns in companies within each sector. The percentages are: Chemical Industries 35%, Livestock 12.5%, Construction and Building 67.7%, Cement Holding 42.3%, and Agriculture 19%. Context: This table is used in a critical thinking question to illustrate a scenario where data cannot be represented by a pie chart because the sum of the percentages exceeds 100%, indicating that the categories are not mutually exclusive or represent parts of a single whole.