Box Plots — Unit test Answers

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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

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A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
3

The graph shows a distribution of data with a standard deviation of 6.

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A
It is within 1 standard deviation of the mean.
B
It is within 2 standard deviations of the mean.
C
It is exactly 3 standard deviations from the mean.
D
It is exactly 4 standard deviations from the mean.
4

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
B
every tenth person walking down Main Street in town at different times of the day
C
all of the students who write into the school newspaper
D
every student from all of Miranda’s classes
6

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?

Question illustration
A
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
B
The data is symmetric and shows that the majority of the assignments had 19 problems or more.
C
The data is skewed and shows that half of the assignments contained 15 problems or fewer.
D
The data is skewed and shows that the majority of the assignments had 19 problems or more.
7

Steve determined the number of states each of his friends has visited.Which statement must be true according to the box plot?

Question illustration
A
The data is skewed left and shows that half of Steve’s friends have visited 4 to 10 states.
B
The data is skewed left and shows that half of Steve’s friends have visited 10 to 40 states.
C
The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.
D
The data is skewed right and shows that half of Steve’s friends have visited 10 to 40 states.
8

Which statements are true about the table? Select three options.

A
The data point for x = 1 is above the line of best fit.
B
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
C
Fiona made a subtraction error when she computed the residual value for x = 4.
D
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
E
The residual value for x = 3 is negative because the given point is below the line of best fit.
9

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
10

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D
11

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
15

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

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