(you must answer all of the questions) - 25 points

1. sharia surveyed students and teachers to determine how long it takes each person, in minutes, to get ready for school in the morning. the plots below show the results of the survey. which statements accurately compare the two data sets? check all that apply.

the typical student takes longer to get ready for school than the typical teacher.

the typical teacher takes longer to get ready for school than the typical student.

the amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready.

the amount of time it takes teachers to get ready is more variable than the amount of time it takes students to get ready.

it typically takes teachers 9 minutes longer than students to get ready for school.

it typically takes teachers 17 minutes longer than students to get ready for school.

2. the heights of the starting players on each of two basketball teams are shown in the table below.
heights of starters on team a and team b

team a: 70 in. 72 in. 75 in. 68 in. 70 in.
team b: 71 in. 73 in. 71 in. 72 in. 73 in.

jacob found that the mean height of team a is 71 and the mean height of team b is 72. he believes that because team b has a greater mean, it also has a greater mean absolute deviation. which explains jacob’s error?

one of the means is incorrect, but the reasoning is correct.
both of the means are incorrect, and the reasoning is also incorrect.
both of the means are correct, but the reasoning is incorrect.
one of the means is incorrect, and the reasoning is also incorrect.

3. 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.

when comparing the shape of the two sets of data, what conclusion can someone draw?

the students tend to have fewer siblings than the teachers.
the teachers tend to have fewer siblings than the students.
both the students and the teachers have a wide range of siblings.
both sets of data have the same shape.

4. the box plots show the average speeds, in miles per hour, for the race cars in two different races.

one-half of cars travel at which speeds?

between 120 and 143 mph in race a; between 125 and 140 mph in race b
between 120 and 170 mph in race a; between 125 and 165 mph in race b
between 120 and 153 mph in race a; between 125 and 145 mph in race b
between 165 and 170 mph in race a; between 150 and 165 mph in race b