Box & Whisker
Trig Ratios
Stats Questions
Stats Questions 2
Find Missing Component
Word Problems
100
Looking at a box and whisker plot; what percentage of the data is above the upper quartile(Q3)?
25%
100
What ratio is opposite/hypotenuse?
Sine
100
Find the mean of the following scores on a chemistry test:
91, 87, 75, 82, 64, 96
x̅ = 82.5
100
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
100
Calculate the length of the hypotenuse:
26
100
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?
200
Looking at a box and whisker plot; what fraction of the data is above the median?
1/2 of the data, 50%
200
What ratio is opposite/adjacent?
Tangent
200
What percentage of data lies between 1σ and -1σ?
68%
200
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%
200
Find the missing side: Theta = 32 Adjacent = 13 Opposite = x.
What is 8.1?
200
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°?
300
Where can you find the extreme values on a box and whisker plot?
The dots at the end of the whiskers
300
What ratio is adjacent/hypotenuse?
Cosine
300
Calculate the standard deviation of the following history test scores using your calculator:
78, 100, 83, 94, 72, 89
Sx = 10.37
300
What percentage of data lies above 2σ?
2.5%
300
Find Theta:
Hypotenuse = 9 Adjacent = 6
What is 48.2°?
300
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?
400
What is the interquartile range?
The difference between the lower and upper quartiles (Q3 - Q1)
400
The formula needed when a side length is missing from a right triangle.
What is the Pythagorean Theorem?
a2+b2= c2
400
What does standard deviation mean?
A measure of how far away a data point is from the mean.
400
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).
400
Find the missing side: Theta = 50.1 Adjacent = 5 Opposite = x
What is 6?
400
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°
500
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
500
Soh-Cah-Toa only applies to which triangles?
Right triangles
500
Find joint relative frequency that the student surveyed is a girl and plays basketball?
16/100 = 0.16 = 16%
500
Find the conditional relative frequency a person likes skateboards, given they do not like snowmobiles.
45/55 = 0.8181 = 81.8%
500
Find Theta:
Opposite = 4, Adjacent = 13
What is 17.1 degrees?
500
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