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Mrs. Mоrаles, а prоfessоr аt a local college, was concerned about the test security of the statistics course she teaches. She decided to compare two lockdown browsers that could be used to prevent students from cheating. She is concerned that the older lockdown browser, OLB, may be weaker than the newer lockdown browser, NLB. One measure of how well a lockdown browser works is the amount of time a student remains on one question, in seconds. A very short question duration may indicate that a student is copying quickly from another website, which means that the lockdown browser needs to be more secure. Therefore, Mrs. Morales conducted a study of the two types of lockdown browsers. She randomly collected this information from students who used the lockdown browser to take a particular one-question quiz over the previous six months. For each quiz taken by the sampled students, Mrs. Morales collected the amount of time students spent on the quiz question, in seconds, and the type of lockdown browser used. The table displays the summary statistics for her study. Summary Statistics Lockdown Browser s Min Q1 Median (Q2) Q3 Max OLB 629 768 30 512 715 793 2100 NLB 914 803 30 674 854 1365 2531 Use the given information to respond to parts A, B, and C. Label any subparts (e.g., i and ii) that may be present. Use the table to respond to the following. Show the work that leads to your answers. Determine whether there are outliers using the 1.5 × IQR rule for the OLB Lockdown Browser. Determine whether there are outliers using the 1.5 × IQR rule for the NLB Lockdown Browser. Use the table to respond to the following. Compare the distance from Q1 to the median and the distance from the median to Q3 for the OLB Lockdown Browser. Compare the distance from Q1 to the median and the distance from the median to Q3 for the NLB Lockdown Browser. Explain how these comparisons can be used to select which measure of variability—standard deviation, range, or IQR—would be the best representation for both lockdown browsers. Mrs. Morales decides to compare the medians of the two lockdown browsers to determine which lockdown browser is best. Use the table and your responses to part A and part B to determine whether Mrs. Morales is using the correct measure of center to compare the distributions. Justify your answer using both lockdown browsers. Copyright © 2026. The College Board. www.collegeboard.org
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