Question

A group of students was asked about the number of times they had been water-skiing. The data is shown in the histogram.

A histogram titled Water Skiing Trips. The x-axis is labeled Number of Times Water Skiing and has intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every 1 units up to 6. There is a shaded bar for 6 to 10 that stops at 3, for 11 to 15 that stops at 5, for 16 to 20 that stops at 6, and for 21 to 25 that stops at 1. There is no shaded bar for the 1 to 5 interval.

Which of the following best describes the spread of the data? Explain its meaning in this situation.
The data has a possible range of 19, which is a wide spread. This might mean that the most common number of water-skiing trips is 10.
The data has a possible range of 19, which is a wide spread. This might mean that there is a large difference in the number of water-skiing trips taken by the students.
The data has a possible range of 6, which is a narrow spread. This could mean that most of the students have taken a similar number of water-skiing trips.
The data has a range of 6, which is a narrow spread. This might mean that the most common number of water-skiing trips was 6.
Question 2
(Multiple Choice Worth 2 Points)
(Box Plots MC)


The box plot represents the scores on quizzes in a history class.

A box plot uses a number line from 69 to 87 with tick marks every one-half unit. The box extends from 75 to 82 on the number line. A line in the box is at 79. The lines outside the box end at 70 and 84. The graph is titled History Quizzes, and the line is labeled Scores on Quizzes.

What value does 75% of the data lie below? Find the value.
The lower quartile (Q1), and it is 75
The lower quartile (Q1), and it is 79
The upper quartile (Q3), and it is 82
The upper quartile (Q3), and it is 84
Question 3
(Multiple Choice Worth 2 Points)
(Perimeter and Area on the Coordinate Plane MC)


What is the perimeter, in centimeters, of a rectangle with vertices located at (−20, 14), (8, 14), (−20, −4), and (8, −4)?
260 cm
92 cm
72 cm
46 cm
Question 4
(Multiple Choice Worth 2 Points)
(Volume of Rectangular Prisms MC)


A rectangular prism is shown in the image.

A rectangular prism with dimensions of 5 yards by 5 yards by 3 and one half yard.

What is the volume of the prism?
twenty eight and one half yd3
forty one and one fourth yd3
eighty seven and one half yd3
166 yd3
Question 5
(Multiple Choice Worth 2 Points)
(Surface Area of Rectangular Prisms and Pyramids MC)


A geologist has a rock that is shaped like a rectangular pyramid that she would like to give as a gift. A model of the rock is shown.

A rectangular pyramid with base dimensions of 5 inches by 4 inches. The large triangular face has a height of 5 inches. The small triangular face has a height of 5.2 inches.

How much wrapping paper is needed without overlapping?
32.9 in2
65.8 in2
85.8 in2
131.6 in2

Answer 1

Q1: The data has a possible range of 19, which is a wide spread. This might mean that there is a large difference in the number of water-skiing trips taken by the students.
(Reason: min ≈ 6, max ≈ 25 → range = 25 − 6 = 19.)

Q2: The upper quartile (Q3), and it is 82.
(75% of the data lie below Q3, which is at 82 on the boxplot.)

Q3: 92 cm.
(Width = 8 − (−20) = 28, height = 14 − (−4) = 18; perimeter = 2(28+18) = 92.)

Q4: eighty seven and one half yd^3 (87.5 yd^3).
(Volume = 5 × 5 × 3.5 = 87.5.)

Q5: 65.8 in^2.
(Area = base 5×4 = 20; two triangles with base 5 and slant height 5: 2 × (1/2·5·5)=25; two with base 4 and slant height 5.2: 2 × (1/2·4·5.2)=20.8; total = 20+25+20.8 = 65.8.)