introduction to Statistics

Daffodil International University Faculty of Science & Information Technology Department of Information Technology & Management Midterm Examination, Fall 26 Course Code: STAT 101; Course Title: Introduction to Statistics Sections & Teachers: A & TBN Time: 1:30 Hours | Marks: 25 Answer ALL Questions [The figures in the right margin indicate the full marks and corresponding course outcomes. All portions of each question must be answered sequentially.] 1. An insurance company would like to determine the proportion of all medical doctors who have been involved in one or more malpractice lawsuits. The company selects 500 doctors at random from a professional directory and determines the number of doctors who have been involved in a malpractice lawsuit. | CLO-1 Level-2 a) Identify what the six key statistical terms refer to in the following study. [Marks-3] b) Identify the appropriate level of measurement of the data in the above study. Suggest two possible analysis that can be performed for the observed data. [Marks-2] 2. The data below shows the number of minutes students spent on reading in a single day: | CLO-2 Level-3 10, 12, 15, 17, 18, 22, 5, 20, 12, 25, 18, 11, 22 15, 35, 12, 20, 18, 25, 15, 19, 22, 35, 12, 18 a) Construct a frequency distribution table for the students reading time and create a histogram to display the frequency distribution. [Marks-5] b) Calculate the mean, median, and mode from the frequency table constructed in 2(a). What percentage of students spent between 15 to 20 minutes on reading? [Marks-8] 3. A startup records the daily number of app downloads for two competing mobile apps. | CLO-3 Level-3 App A: 5, 40, 42, 45, 48, 50, 52, 55, 58, 60, 62, 65 App B: 14, 17, 20, 25, 28, 32, 35, 40, 45, 48, 52, 100 a) Calculate the sample standard deviation and CV for both apps. Which app shows more variability in download behavior? Which app shows more consistency? [Marks-7]