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Box Plots - Question + Revision
Typology: Exercises
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Box Plots - 1 Question 1 A group of students recorded the number of hours they studied in a week. The data is as follows: 2, 3, 5, 5, 7, 8, 10, 10, 12, 15 a) Construct a box plot for this data. b) Identify the median, lower quartile, upper quartile, minimum, and maximum values from the box plot. Question 2 The following data represents the scores of 15 students in a maths test: 15, 18, 20, 22, 22, 25, 27, 28, 30, 30, 32, 35, 37, 38, 40 a) Draw a box plot to represent the data. b) Determine the range and interquartile range of the data. Question 3 The ages of people attending a concert are recorded below: 16, 17, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 28, 29, 30 a) Create a box plot for this data. b) Calculate the median, lower quartile, and upper quartile. Question 4 The heights (in cm) of 12 basketball players are listed below: 180, 182, 185, 188, 190, 192, 195, 198, 200, 202, 205, 208 a) Construct a box plot for this data. b) Find the range and interquartile range of the heights.
Answers Question 1 To construct a box plot and identify the median, lower quartile, upper quartile, minimum, and maximum values, we'll follow these steps:
Upper Quartile (Q3): 35 Maximum: 40 Here's a visual representation of the box plot: Part (b): Determining the Range and Interquartile Range
o Median (Q2) = (22 + 23) / 2 = 22.
o Range = 208 - 180 = 28