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?
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.
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
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
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
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.
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
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.
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
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.
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