This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution to question III: Step 1: Answer part 1a) and 1b). a) The population is the group of 20 persons. An individual is one person* from this group. b) The character of this distribution is the favorite team. The nature of this distribution is qualitative* (or categorical), as the data represents categories rather than numerical values. Step 2: Complete the table for part 2). The total frequency is given as 20. The sum of frequencies is 8+7+3+2=20. To find the central angle for each team, we use the formula: Central angle = (FrequencyTotal Frequency) × 360^ Brazil: ((8)/(20)) × 360^ = 0.4 × 360^ = 144^ Germany: ((7)/(20)) × 360^ = 0.35 × 360^ = 126^ Italy: ((3)/(20)) × 360^ = 0.15 × 360^ = 54^ France: ((2)/(20)) × 360^ = 0.1 × 360^ = 36^ The completed table is: | Favorite team | Brazil | Germany | Italy | France | Total | | :------------ | :----- | :------ | :---- | :----- | :---- | | Frequency | 8 | 7 | 3 | 2 | 20 | | Central angle | 144^ | 126^ | 54^ | 36^ | 360^ | Step 3: Find the percentage of persons who like Germany team for part 3). The frequency for Germany is 7, and the total frequency is 20. Percentage for Germany = (Frequency for GermanyTotal Frequency) × 100\% Percentage for Germany = ((7)/(20)) × 100\% = 0.35 × 100\% = 35\% The percentage of persons who like the Germany team is 35\%. Step 4: Describe how to draw the bar graph of frequencies for part 4). To draw a bar graph of frequencies: Draw a horizontal axis (x-axis) and label it "Favorite Team". Mark categories for Brazil, Germany, Italy, and France. Draw a vertical axis (y-axis) and label it "Frequency". Scale this axis from 0 up to at least 8 (the highest frequency). For each team, draw a vertical bar whose height corresponds to its frequency: Brazil: Bar height of 8 units. Germany: Bar height of 7 units. Italy: Bar height of 3 units. France: Bar height of 2 units. Ensure the bars are of equal width and are separated by small gaps. Send me the next one 📸