Statistics, mean, median, range, data dispersion, central tendency, histogram, circular diagram
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This document explains various statistical measures such as mean, median, and range, along with examples and exercises to understand data dispersion and central tendency.
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[...] So of the students have 1 brother. Number of brothers Effectif Frequency 2 1 4 2 3 3 1 Total 10 100% 2 The graphical representations Once we have collected and organized the data (with the numbers and frequencies), we need to analyze them represent visually. Graphs allow to see quickly what is most frequent, least frequent, or to compare several categories. There are mainly three types of graphs studied in college: [...]
[...] Exercise 14: Two classes obtained the following results: Class A Class B Average: 12 Scope: 2 Average: 12 Scope: 8 1. Which class is the most homogeneous? 2. Why? Exercise 15: Here are the grades (out of 20) for a class: 19. 1. Calculate the average. 2. Find the median. 3. Calculate the range. Correction Exercise Mean = + 10 + 12 + 14) / 4 = 11. Exercise Mean = (10 + 13 + 15 + 17 + 20 + 18 + 14) / 7 = 15.3°C. Exercise Median = 155, Range = 160 - 150 = 10. [...]
[...] 1.1 Staff Vocabulary ? The population: this is the group studied. Example: the students of the class. ? The character: this is what we study in each one. Example: the number of brothers and sisters. ? The modalities: these are the different possible answers. Example: 0 brother brother brothers, etc. ? Theeffective of a modality: this is the number of people who gave this answer. ? Theeffective total: this is the total number of people interviewed. Example: In a class of 10 students, we ask how many brothers they have. [...]
[...] Exercise 7 values ? middle value = 4th = 10 ? median = 10. Exercise Range = 15 - 10 = Median = 12. Exercise Average = (2×5 + 3×7 + 4×3) / 15 = (10 + 21 + 12) / 15 = 43 / 15 = 2,87 Exercise Average = 12, Median = 12. Exercise Average = 88.6 km/h; Range = 110 - 80 = 30; Median = (84 + 85)/2 = 84.5. Exercise Average = (8×2 + 10×3 + 12×4 + 14×1)/10 = 104/10 = 10.4. [...]
[...] Example: We note the results of a test: There are 5 values (odd number). The middle value is the 3rd: the median is 8. Another example: Results: There are 4 values (even number). The two middle values are 6 and 9. The median is therefore 7,5. 3.3 Extent Extent measures the dispersion of data: it indicates the difference between the largest and smallest value. Extent = Maximum Value ? Minimum Value Example: The sizes of a group of students are: 166. [...]
