Looking at a box and whisker plot; what percentage of the data is above the upper quartile(Q3)?
25%
What ratio is opposite/hypotenuse?
Sine
Find the mean of the following scores on a chemistry test:
91, 87, 75, 82, 64, 96
x̅ = 82.5
Find the mean number of people in an American household.
5, 3, 2, 4, 4, 7, 10, 1
36/8 = 4.5 people per household
4 people
Calculate the length of the hypotenuse:
26
Find the maximum height that a 20 foot ladder can reach safely, if we follow the suggestion that the ladder should not make an angle greater that 75 degrees with the ground.
Sin (75°) = x/20
20sin(75) = x
What is 19.32 ft?
Looking at a box and whisker plot; what fraction of the data is above the median?
1/2 of the data, 50%
What ratio is opposite/adjacent?
Tangent
What percentage of data lies between 1σ and -1σ?
68%
Here are the most popular drinks bought at Starbucks (in a sample of 50 orders):
- Coffee: 21 - Latte: 14
- Frappuccino: 9 - Hot Chocolate: 6
Find the relative frequency of customers who bought lattes.
14/50 = 0.28 --> 28%
Find the missing side: Theta = 32 Adjacent = 13 Opposite = x.
What is 8.1?
Find the angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
Tan (theta) = 7.6/18.2
tan-1(7.6/18.2) = theta
What is 22.6°?
Where can you find the extreme values on a box and whisker plot?
The dots at the end of the whiskers
What ratio is adjacent/hypotenuse?
Calculate the standard deviation of the following history test scores using your calculator:
78, 100, 83, 94, 72, 89
Sx = 10.37
What percentage of data lies above 2σ?
2.5%
Find Theta:
Hypotenuse = 9 Adjacent = 6
What is 48.2°?
Find the length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.
Sin(24.4) = 1100/x
x = 1100 / sin(24.4)
What is 2663 ft?
What is the interquartile range?
The difference between the lower and upper quartiles (Q3 - Q1)
The formula needed when a side length is missing from a right triangle.
What is the Pythagorean Theorem?
a2+b2= c2
What does standard deviation mean?
A measure of how far away a data point is from the mean.
When looking at a distribution, where would the points have to lie if the standard deviation was large?
A) the middle
B) the tails
C) evenly distributed
B) The tails. If most of the data lied in the tails, the standard deviation has to be larger to reach there (whereas if the data was all in the center, it wouldn't have super long tails).
Find the missing side: Theta = 50.1 Adjacent = 5 Opposite = x
What is 6?
You are 200yds from a river, rather than walking to the river, you walk 400 yards along a straight path to the rivers edge. Find the angle between the path and the rivers edge
Sin (x) = 200/400
Sin-1(200/400) = x
x = 30°
Find Q1, Q2(median) and Q3 of the following data: 10, 17, 8, 13, 6, 10, 16, 19
Q1: 9 Q2: 11.5 Q3: 16.5
Soh-Cah-Toa only applies to which triangles?
Right triangles
Find joint relative frequency that the student surveyed is a girl and plays basketball?
16/100 = 0.16 = 16%
Find the conditional relative frequency a person likes skateboards, given they do not like snowmobiles.
45/55 = 0.8181 = 81.8%
Find Theta:
Opposite = 4, Adjacent = 13
What is 17.1 degrees?
The maximum angle of elevation for a rescue ladder is 72°. If the fire department's longest ladder is 110 feet, how far is the base of the ladder from the building?
Cos(72) = x / 110
110 cos(72) = x
x = 33.9 feet