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

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