Asurvey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. the dot plots below show the results.

based on the shape of the two dot plots, which statements correctly compare them? select three choices.
the center of the data for students has a value less than that of the center of the data for teachers.
the center of the data is to the right of the dot plot for both teachers and students.
there is a greater variation in the data for teachers than for students.
both sets of data cluster around 2.
the same number of teachers as students were surveyed.

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

What is the slope of the line shown below?

What is the difference between the equations of a vertical and a horizontal line?