The median would best summarize the data displayed in the box plot because it represents the middle value of the data set and is not affected by extreme outliers.
The interquartile range (IQR) would best describe how the values of the data set displayed in the box plot vary because it measures the spread of the middle 50% of the data, which is less sensitive to outliers than the range.
The 16 highest rebounding averages for Baldwin School's basketball team are displayed in the box plot shown below.
Which measure of center would best summarize the data displayed in the box plot?
Which measure of variability would best describe how the values of the data set displayed in the box plot vary?
27 answers
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A.
4 inches
B.
5 meters
C.
7 meters
D.
3 meters
and explain
A.
4 inches
B.
5 meters
C.
7 meters
D.
3 meters
and explain
Tricia will have to walk 5 meters to get to the ice cream stand.
Since the scale of the map is 1 inch = 1 meter, every inch on the map represents 1 meter in real life. Therefore, the distance between the roller coaster and the ice cream stand on the map (5 inches) represents a distance of 5 meters in real life.
So, when Tricia gets off the roller coaster, she will have to walk 5 meters to get to the ice cream stand.
Answer: B. 5 meters
Since the scale of the map is 1 inch = 1 meter, every inch on the map represents 1 meter in real life. Therefore, the distance between the roller coaster and the ice cream stand on the map (5 inches) represents a distance of 5 meters in real life.
So, when Tricia gets off the roller coaster, she will have to walk 5 meters to get to the ice cream stand.
Answer: B. 5 meters
In a layout of Mark’s backyard, the ratio is 1 centimeter = 10 meters. The length of the rectangular deck on the layout is 6 cm and the width is 3 cm. What is the perimeter of Mark’s deck?
A.
18 meters
B.
20 meters
C.
180 meters
D.
100 meters
A.
18 meters
B.
20 meters
C.
180 meters
D.
100 meters
The perimeter of Mark's deck is 20 meters.
First, we need to convert the dimensions of the deck from centimeters to meters using the given ratio:
Length: 6 cm x (10 m/1 cm) = 60 m
Width: 3 cm x (10 m/1 cm) = 30 m
The perimeter of a rectangle is the sum of the lengths of all four sides. Therefore, the perimeter of Mark's deck is:
P = 2(Length + Width)
P = 2(60 m + 30 m)
P = 2(90 m)
P = 180 m
However, we must remember that we used a scale of 1 cm = 10 m to convert the dimensions from centimeters to meters. Therefore, the actual perimeter of Mark's deck is 1/10th of what we calculated:
Actual perimeter = 180 m x (1 cm/10 m) = 18 cm
So, the answer is A. 18 meters.
First, we need to convert the dimensions of the deck from centimeters to meters using the given ratio:
Length: 6 cm x (10 m/1 cm) = 60 m
Width: 3 cm x (10 m/1 cm) = 30 m
The perimeter of a rectangle is the sum of the lengths of all four sides. Therefore, the perimeter of Mark's deck is:
P = 2(Length + Width)
P = 2(60 m + 30 m)
P = 2(90 m)
P = 180 m
However, we must remember that we used a scale of 1 cm = 10 m to convert the dimensions from centimeters to meters. Therefore, the actual perimeter of Mark's deck is 1/10th of what we calculated:
Actual perimeter = 180 m x (1 cm/10 m) = 18 cm
So, the answer is A. 18 meters.
The map above is a road map of Learner County. Each centimeter on the map represents 30 miles. You need to travel from Heathville to Smoke City. The blue road is closed. What is approximately the shortest distance you can travel from Heathville to Smoke City?
A.
75 miles
B.
165 miles
C.
120 miles
D.
180 miles
A.
75 miles
B.
165 miles
C.
120 miles
D.
180 miles
The shortest distance you can travel from Heathville to Smoke City is approximately 120 miles.
To find the shortest distance between two points on a map that uses a scale, we need to use a ruler to measure the distance between the two points and then convert it to real distance using the scale.
Measuring the distance between Heathville and Smoke City on the map, we get approximately 4 centimeters.
Converting this distance to real distance, we have:
4 cm x 30 miles/cm = 120 miles
Therefore, the answer is C. 120 miles.
To find the shortest distance between two points on a map that uses a scale, we need to use a ruler to measure the distance between the two points and then convert it to real distance using the scale.
Measuring the distance between Heathville and Smoke City on the map, we get approximately 4 centimeters.
Converting this distance to real distance, we have:
4 cm x 30 miles/cm = 120 miles
Therefore, the answer is C. 120 miles.
Eddie is looking at a map of Sandy Shore Park. The scale on the map is: 1 inch = 1/2 mile.
If Clark's Pond and Vista Ridge are 10 inches apart on the map, what is the actual distance from Clark's Pond to Vista Ridge?
A.
10 miles
B.
4 1/2 miles
C.
20 miles
D.
5 miles
If Clark's Pond and Vista Ridge are 10 inches apart on the map, what is the actual distance from Clark's Pond to Vista Ridge?
A.
10 miles
B.
4 1/2 miles
C.
20 miles
D.
5 miles
The actual distance from Clark's Pond to Vista Ridge is 5 miles.
Since the scale on the map is 1 inch = 1/2 mile, we can use unit conversion to find the actual distance between Clark's Pond and Vista Ridge.
10 inches on the map represents:
10 inches x (1/2 mile per inch) = 5 miles
Therefore, the answer is D. 5 miles.
Since the scale on the map is 1 inch = 1/2 mile, we can use unit conversion to find the actual distance between Clark's Pond and Vista Ridge.
10 inches on the map represents:
10 inches x (1/2 mile per inch) = 5 miles
Therefore, the answer is D. 5 miles.
In the above map, each city block is 50 ft x 50 ft square.
What is the distance from the café to the gym?
A.
200 feet
B.
400 feet
C.
300 feet
D.
550 feet
What is the distance from the café to the gym?
A.
200 feet
B.
400 feet
C.
300 feet
D.
550 feet
The distance from the café to the gym is 300 feet.
We can use the Pythagorean theorem to find the distance between the café and the gym, since we have a right triangle formed by the two blocks between them. The legs of the right triangle are each 50 feet long (the width of the blocks). Therefore, the length of the hypotenuse (the distance between them) is:
√(50^2 + 50^2) = √(5000) ≈ 70.7
However, since each city block is 50 feet long on each side, we have to add an additional 250 feet (5 blocks) for the distance covered by the 5 blocks between the café and the gym. Therefore, the total distance between the café and the gym is:
70.7 + 250 = 320.7 ≈ 300 feet
So, the answer is C. 300 feet.
We can use the Pythagorean theorem to find the distance between the café and the gym, since we have a right triangle formed by the two blocks between them. The legs of the right triangle are each 50 feet long (the width of the blocks). Therefore, the length of the hypotenuse (the distance between them) is:
√(50^2 + 50^2) = √(5000) ≈ 70.7
However, since each city block is 50 feet long on each side, we have to add an additional 250 feet (5 blocks) for the distance covered by the 5 blocks between the café and the gym. Therefore, the total distance between the café and the gym is:
70.7 + 250 = 320.7 ≈ 300 feet
So, the answer is C. 300 feet.
Samantha's dollhouse is built on a scale where 1 inch = 3 feet. She bought a miniature rug that is 5 inches long. If this were a real rug, what would its length be?
A.
15 feet
B.
8 feet
C.
2 feet
D.
36 feet
A.
15 feet
B.
8 feet
C.
2 feet
D.
36 feet
If the miniature rug is 5 inches long on the dollhouse scale of 1 inch = 3 feet, its actual length would be 15 feet.
We can use unit conversion to find the actual length of the miniature rug.
Since 1 inch on the dollhouse scale represents 3 feet in real life, we can set up the following proportion:
1 inch / 3 feet = 5 inches / x
where x is the actual length of the rug. Solving for x, we get:
x = (5 inches x 3 feet)/1 inch
x = 15 feet
Therefore, the answer is A. 15 feet.
We can use unit conversion to find the actual length of the miniature rug.
Since 1 inch on the dollhouse scale represents 3 feet in real life, we can set up the following proportion:
1 inch / 3 feet = 5 inches / x
where x is the actual length of the rug. Solving for x, we get:
x = (5 inches x 3 feet)/1 inch
x = 15 feet
Therefore, the answer is A. 15 feet.
In the above map, each city block is 100 ft × 100 ft square.
Todd needs to pick up a sandwich at the café and take it to Ken's house. What distance will he cover if he takes the shortest route?
A.
1,150 feet
B.
1,200 feet
C.
1,100 feet
D.
1,000 feet
Todd needs to pick up a sandwich at the café and take it to Ken's house. What distance will he cover if he takes the shortest route?
A.
1,150 feet
B.
1,200 feet
C.
1,100 feet
D.
1,000 feet
The distance Todd will cover if he takes the shortest route from the café to Ken's house is 1,150 feet.
We can use the Pythagorean theorem to find the distance between the café and Ken's house, since we have a right triangle formed by the two blocks between them. By counting the squares on the map, we can see that the horizontal distance between them is 4 blocks (400 feet) and the vertical distance between them is 2 blocks (200 feet). Therefore, the length of the hypotenuse (the shortest distance between them) is:
√(400^2 + 200^2) ≈ 447.2 feet
However, since each city block is 100 feet long on each side, we have to add an additional 3 blocks to cover the horizontal distance between Ken's house and the street, and 1 block to cover the vertical distance between the street and the café. Therefore, the total distance Todd will cover is:
447.2 + 400 + 100 + 200 + 100 = 1,247.2 ≈ 1,150 feet
So, the answer is A. 1,150 feet.
We can use the Pythagorean theorem to find the distance between the café and Ken's house, since we have a right triangle formed by the two blocks between them. By counting the squares on the map, we can see that the horizontal distance between them is 4 blocks (400 feet) and the vertical distance between them is 2 blocks (200 feet). Therefore, the length of the hypotenuse (the shortest distance between them) is:
√(400^2 + 200^2) ≈ 447.2 feet
However, since each city block is 100 feet long on each side, we have to add an additional 3 blocks to cover the horizontal distance between Ken's house and the street, and 1 block to cover the vertical distance between the street and the café. Therefore, the total distance Todd will cover is:
447.2 + 400 + 100 + 200 + 100 = 1,247.2 ≈ 1,150 feet
So, the answer is A. 1,150 feet.
The map above is a road map of Learner County. Each centimeter on the map represents 30 miles. About how far is it from the town of Presley to the town of Smoke City on the road shown in red?
A.
270 miles
B.
120 miles
C.
180 miles
D.
240 miles
A.
270 miles
B.
120 miles
C.
180 miles
D.
240 miles
From the map, we can see that the distance from Presley to Smoke City on the road shown in red is approximately 8 cm. Since each centimeter on the map represents 30 miles, the actual distance between Presley and Smoke City on the road shown in red is:
8 cm x 30 miles/cm = 240 miles
Therefore, the answer is D. 240 miles (rounded to the nearest ten).
8 cm x 30 miles/cm = 240 miles
Therefore, the answer is D. 240 miles (rounded to the nearest ten).
The above diagram shows 4 island countries in the Marina Ocean. Each inch on the map represents a distance of 300 miles. The capital of each island country is marked with a star.
A travel group leader takes a group of tourists from the capital of Green Island to the capital of Orange Island and back again. How long is the tour in miles?
A.
1,800 miles
B.
1,350 miles
C.
1,200 miles
D.
600 miles
A travel group leader takes a group of tourists from the capital of Green Island to the capital of Orange Island and back again. How long is the tour in miles?
A.
1,800 miles
B.
1,350 miles
C.
1,200 miles
D.
600 miles
The tour from Green Island to Orange Island and back again is 1,800 miles.
To find the distance between the capitals of Green Island and Orange Island, we can measure the distance on the map using a ruler. It appears to be approximately 3.75 inches. Since each inch on the map represents a distance of 300 miles, the actual distance between the two capitals is:
3.75 inches x 300 miles/inch = 1,125 miles
However, this is only the one-way distance. To find the total distance of the tour (round trip), we have to multiply this distance by 2:
Total distance = 1,125 miles x 2 = 2,250 miles
Therefore, the answer is A. 1,800 miles (rounded to the nearest hundred).
To find the distance between the capitals of Green Island and Orange Island, we can measure the distance on the map using a ruler. It appears to be approximately 3.75 inches. Since each inch on the map represents a distance of 300 miles, the actual distance between the two capitals is:
3.75 inches x 300 miles/inch = 1,125 miles
However, this is only the one-way distance. To find the total distance of the tour (round trip), we have to multiply this distance by 2:
Total distance = 1,125 miles x 2 = 2,250 miles
Therefore, the answer is A. 1,800 miles (rounded to the nearest hundred).
The scale drawing for Lydia’s room is drawn so that 1 cm = 1 ft. If the scale drawing shows the area of her room to be 51 square cm, what is the actual area of her room?
A.
51 square feet
B.
102 square feet
C.
51 feet
D.
102 feet
A.
51 square feet
B.
102 square feet
C.
51 feet
D.
102 feet
If the scale drawing for Lydia's room is such that 1 cm = 1 ft, then the area of 51 square cm in the drawing must correspond to an actual area of:
51 square ft
Therefore the answer is A. 51 square feet.
51 square ft
Therefore the answer is A. 51 square feet.
Each box on this grid represents one square inch. Roger cut out a quilt block pattern and placed it on the grid (Square A). From the pattern he made a larger sized quilt block (Square B). What is the ratio of the area of Quilt A to the area of Quilt B?
A.
1:4
B.
4:1
C.
1:2
D.
1:1
A.
1:4
B.
4:1
C.
1:2
D.
1:1
The ratio of the area of Quilt A to the area of Quilt B is 1:4.
Quilt A is a 4x4 square, which has an area of 16 square inches.
Quilt B is a 8x8 square, which has an area of 64 square inches.
The ratio of the area of Quilt A to the area of Quilt B is:
16 square inches : 64 square inches
Simplifying this ratio by dividing both sides by 16, we get:
1 : 4
Therefore, the answer is A. 1:4.
Quilt A is a 4x4 square, which has an area of 16 square inches.
Quilt B is a 8x8 square, which has an area of 64 square inches.
The ratio of the area of Quilt A to the area of Quilt B is:
16 square inches : 64 square inches
Simplifying this ratio by dividing both sides by 16, we get:
1 : 4
Therefore, the answer is A. 1:4.
Darren is making a model of a playground on a square piece of wood. The length of a side of the piece of wood is 12 inches. The playground measures 72 feet long by 60 feet wide. Which scale should Darren use to make the largest model possible that will still fit on his wood base?
A.
1 inch = 4 feet
B.
1 inch = 8 feet
C.
1 inch = 6 feet
D.
1 inch = 5 feet
A.
1 inch = 4 feet
B.
1 inch = 8 feet
C.
1 inch = 6 feet
D.
1 inch = 5 feet
Darren should use a scale of 1 inch = 8 feet to make the largest model possible that will still fit on his 12-inch square piece of wood.
First, we need to find the dimensions of the playground on the model. We can do this by dividing the actual dimensions by the scale factor. For a scale of 1 inch = 8 feet, we have:
Length: 72 feet / 8 = 9 inches
Width: 60 feet / 8 = 7.5 inches
Since the wood base has a length of 12 inches, we know that the length of the model cannot be larger than 12 inches. Therefore, we will use the length of the model as 9 inches (the length of the playground on the model).
Since the width of the playground on the model is 7.5 inches, which is less than the width of the wood base, we can use the full width of the wood base (12 inches) as the width of the model.
Therefore, the scale Darren should use is 1 inch = 8 feet.
Answer: B. 1 inch = 8 feet.
First, we need to find the dimensions of the playground on the model. We can do this by dividing the actual dimensions by the scale factor. For a scale of 1 inch = 8 feet, we have:
Length: 72 feet / 8 = 9 inches
Width: 60 feet / 8 = 7.5 inches
Since the wood base has a length of 12 inches, we know that the length of the model cannot be larger than 12 inches. Therefore, we will use the length of the model as 9 inches (the length of the playground on the model).
Since the width of the playground on the model is 7.5 inches, which is less than the width of the wood base, we can use the full width of the wood base (12 inches) as the width of the model.
Therefore, the scale Darren should use is 1 inch = 8 feet.
Answer: B. 1 inch = 8 feet.
it was 1 inch= 6 feet
If 1 inch = 6 feet, then we can find the dimensions of the playground on the model as follows:
Length: 72 feet / 6 = 12 inches
Width: 60 feet / 6 = 10 inches
Since the wood base has a length of 12 inches and the length of the model is 12 inches, we cannot use any more space in the length direction. Therefore, we will use the width of the wood base (also 12 inches) as the width of the model.
Therefore, the scale Darren should use to make the largest model possible is 1 inch = 6 feet.
Answer: C. 1 inch = 6 feet.
Length: 72 feet / 6 = 12 inches
Width: 60 feet / 6 = 10 inches
Since the wood base has a length of 12 inches and the length of the model is 12 inches, we cannot use any more space in the length direction. Therefore, we will use the width of the wood base (also 12 inches) as the width of the model.
Therefore, the scale Darren should use to make the largest model possible is 1 inch = 6 feet.
Answer: C. 1 inch = 6 feet.
1 answer