Statistics

General Statistics

9. The principal of Lowe High School (LHS) authorized a study to estimate the percent of the LHS student population that will attend a 4-year college after graduation. LHS students in honors courses were asked about their postgraduation plans, and their responses were recorded. Students in other courses were NOT included in the study. Which of the following phrases best describes the principal’s study?

Survey Design and Interpreting Results

2020 December(D03) Math Question 9

19. A team of biologists tagged and released 90 deer in a forest. From the same forest 2 weeks later, the biologists collected a random sample of 30 deer, 5 of which were tagged. Let p be the proportion of deer in this forest that are tagged. What is pˆ, the sample proportion, for this sample?

2021 June(D06) Math Question 19

24. The histogram below shows the results of a survey of 100 people. Each person identified the number of hours per week that they watch TV. How many people surveyed watch TV at least 4 hours per week?

Frequency Tables, Histograms, and Standard Deviation

2020 December(D03) Math Question 24

39. There are exactly 5 people in a bookstore at 12:00 p.m. Each person earns an annual income that is between $30,000 and $35,000. No one enters or leaves the bookstore until 12:15 p.m., when a professional athlete with an annual income of more than $1,000,000 enters the bookstore and joins the other 5 people. The mean, median, range, and standard deviation of the annual incomes of the 5 people in the bookstore at 12:00 p.m. are calculated and compared to, the same 4 statistics of the annual incomes of the 6 people in the bookstore at 12:15 p.m. If it can be determined, which of the 4 statistics changed the least?

2017 December(A10) Math Question 39

44. The table below gives experimental data values for variables x and y. Theory predicts that y varies directly with x. Based on the experimental data, which of the following values is closest to the constant of variation? (Note: The variable y varies directly with the variable x provided that y = kx for some nonzero constant k, called the constant of variation.)

2015 June(73C) Math Question 44

2010 June(68C) Math Question 45

50. The graph below illustrates the normal distribution curve. The percent of the data that falls within each standard deviation from the mean is given to the nearest 0.1%.

2013 June(71C) Math Question 50

56. A random number generator that generates an integer 1  through  6 will be used 15,000 times. Each time an integer is generated, the number will be recorded. Which of the following descriptors will most likely characterize the distribution of the 15,000 recorded numbers?

Frequency Histogram

2021 April(D05) Math Question 56

2019 April(Z15) Math Question 57

58. Let m and s be the mean and standard deviation, respectively, of the ages of children in a certain daycare center. Which of the following gives the mean and standard deviation of the ages of the same children 5 years later?

Statistics (Mean, Median, Mode, Standard Deviation)

2021 April(D05) Math Question 58

59. Which of the following data sets has the greatest standard deviation?

General StatisticsStatisticsACT math questions

2020 December(D03) Math Question 9

2021 June(D06) Math Question 19