Download Box Plots - Question + Revision (2) and more Exercises Mathematics in PDF only on Docsity!
BoxPlots - 2 Section 1: Multiple Choice Questions Q1: Which of the following is NOT a component of a Boxplot? A) Median B) Lower Quartile C) Upper Quartile D) Mode Q2: What does the Interquartile Range (IQR) represent in a Boxplot? A) Difference between the maximum and minimum values B) Difference between the upper quartile and the lower quartile C) Average of all data points D) Sum of all data points Section 2: Short Answer Questions Q3: Given the data set: 4,6,7,10,12,13,15,16,18,204, 6, 7, 10, 12, 13, 15, 16, 18, 20 , find the following: Median Lower Quartile (Q1) Upper Quartile (Q3) Interquartile Range (IQR) Q4: Explain what an outlier is and how it is identified in a Boxplot. Section 3: Data Analysis Q5: Construct a Boxplot for the following data set: 3,5,7,8,10,12,14,15,17,19,20,223, 5, 7, 8, 10, 12, 14, 15, 17, 19, 20, 22 Identify any outliers. Q6: Analyze the following Boxplot and provide the five-number summary: Minimum: 5 Lower Quartile (Q1): 10 Median: 15 Upper Quartile (Q3): 20 Maximum: 25 Are there any outliers? If so, identify them.
Section 4: Interpretation Q7: A class recorded the following scores in a test: 35,42,46,49,53,57,60,62,65,68,70,74,78,81,8535, 42, 46, 49, 53, 57, 60, 62, 65, 68, 70, 74, 78, 81, 85
. Construct a Boxplot for the data and answer the following: What is the median score? What are the lower and upper quartiles? What is the IQR? Are there any outliers? Explain. Section 5: True or False Q8: The median is always the middle number of a data set. (True/False) Q9: Outliers can significantly impact the overall interpretation of the data in a Boxplot. (True/False)
Q6: Analyze the following Boxplot and provide the five-number summary: Five-number summary: Minimum: 5, Lower Quartile (Q1): 10, Median: 15, Upper Quartile (Q3): 20, Maximum: 25 Outliers: None, as all data points fall within the range Q1−1.5×IQRQ1 - 1.5 \times IQR and Q3+1.5×IQRQ3 + 1.5 \times IQR . Section 4: Interpretation Q7: A class recorded the following scores in a test: 35,42,46,49,53,57,60,62,65,68,70,74,78,81,8535, 42, 46, 49, 53, 57, 60, 62, 65, 68, 70, 74, 78, 81, 85
. Construct a Boxplot for the data and answer the following: Median score: 62 Lower Quartile (Q1): 49 Upper Quartile (Q3): 74 IQR: Q3 - Q1 = 74 - 49 = 25 Outliers: None, as all data points fall within the range Q1−1.5×IQRQ1 - 1.5 \times IQR and Q3+1.5×IQRQ3 + 1.5 \times IQR . Section 5: True or False Q8: The median is always the middle number of a data set. Answer: False (If the data set has an even number of data points, the median is the average of the two middle numbers) Q9: Outliers can significantly impact the overall interpretation of the data in a Boxplot. Answer: True
