Summarizing Data Sets with Statistics — Test Answers

Sam kept track of the number of problems he was assigned for his math homework on the box plot.Which statement must be true according to the box plot?

A 2-column table with 9 rows. The first column is labeled x with entries negative 8, negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries negative 16, negative 8, 0, 8, 16, 32, 64, 128.

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

Which is a solution to the equation ?

A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results.StudentsTeachersWhen comparing the shape of the two sets of data, what conclusion can someone draw?

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

There are 20 classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.Number of Students in Each Class at Poplar Middle SchoolNumber of Students in Each Class at Oak Middle SchoolWhat is the difference between the medians in the dot plots?

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom how many miles they ride their bikes each month. He obtained the following results.8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0The fraction shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.Option 2: Poll every third patron who enters the library on Technology Appreciation Day.Which statement about the methods of collecting data is true?