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

The graph below shows the average daily consumption, in thousands of barrels, of oil for Uzbekistan for the years 2003 through 2013. From what year to the following year did the average daily consumption decrease the most?

2024 June(G20) Math Question 10

This table lists the engine size, x liters, and the weight, w kilograms, of each of 5 vehicles. A linear model for the data in the table is w = 375x + 370. The actual weight of the vehicle with the smallest engine size differs from the linear model's predicted weight of this vehicle by how many kilograms?

2025 October(J08) Math Question 13

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

Each of 5 different data sets is summarized with its own boxplot below. Which of these data sets has the greatest interquartile range?

2023 April(F11) 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

A normal distribution for random variable X is given. Each percentage shown is the percentage of the area under that portion of the curve. One of the following values is the value of P(1,100 < X < 1,200) to the nearest 1%. Which one?

2025 October(J08) Math Question 24

Biologists tagged and released 50 fish in a lake. From the same lake 3 weeks later, the biologists collected a random sample of 15 fish, 5 of which were tagged. Let p be the proportion of the fish in the lake that are tagged. What is p̂, the sample proportion, for this sample?

2024 April(Z13) Math Question 24

A Chinese language proficiency test was given to 60 university students. The students' scores were recorded as integers. The table below shows the frequency and cumulative frequency of test scores in certain ranges. To be classified as proficient, a student must score 70 or higher on the test. What is the ratio of the number of students who were classified as proficient to the number who were NOT classified as proficient?

35 February(Z14) Math Question 34

The probability distribution for both values of a random variable X is given in the table below. Given that the expected value of X is 20, what is the value of k?

2023 September(G01) Math Question 37

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

Thomas wanted to test whether his coin was unfair. To do this, he flipped the coin 6 times and counted the number of heads and tails. Four of the flips resulted in heads, and two resulted in tails. One of the following statements is a correct conclusion based on Thomas's test. Which one?

2024 September(H11) Math Question 41

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

Sumiko, who works at a restaurant, recorded the amounts of her customers' checks and the corresponding amounts of her tips, both in dollars, for 25 consecutive customers she served. She plotted the data in the standard (x,y) coordinate plane below with the amount of the check on the x-axis and the amount of the tip on the y-axis. Sumiko then performed a linear regression on the data, finding the regression equation to be y = 0.16x − 0.44 with a correlation coefficient, r, of 0.81. From her statistical analysis, Sumiko can correctly conclude that every $1 increase in the total amount of the check will result in approximately:

35 February(Z14) Math Question 44

2010 June(68C) Math Question 45

How many of the 50 polled shoppers owned at least 1 dog but did NOT own at least 1 cat?

2024 April(Z13) Math Question 46

What percent of employees in this company have a monthly salary greater than $5,000?

2024 September(H11) Math Question 46

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

Considering only the attendance for the months given in the table, which grade level, if any, has the strongest negative linear correlation between the number of months into the current school year and the average daily attendance for the month?

2023 September(G01) Math Question 50

For a certain normally distributed data set, the mean is 100, and the standard deviation is 20. Given that 68% of the data are within 1 standard deviation of the mean, 68% of the data are within which of the following intervals?

2024 December(H31) Math Question 50

One of the following statistics is greater for the data from the previous school year than for the data from the current school year. Which one?

2023 September(G01) Math Question 52

Which of the statements below, if any, must be true about Julia's typing speed from the 49th day through the 99th day?

2024 December(H31) Math Question 54

To estimate the number of bass in a small lake, a biology class caught and tagged 32 bass from the lake. The next day the class caught 60 bass from the lake and found that 9 of those bass were tagged. Assuming the 60 bass caught are representative of the entire population of bass in the lake, which of the following is closest to the number of bass in the entire population?

2024 June(G20) Math Question 55

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

The line plot below shows the number of miles Bob framed each day for a new sidewalk. After he finished framing, he poured concrete for 1/2 mile of sidewalk each day. Which of the following is closest to the total number of days it took Bob to pour concrete for the entire sidewalk?

2024 September(H11) 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

2024 June(G20) Math Question 10