The student will compare and contrast empirical data from a random number generator with the uniform distribution.
Collect the data
Use a random number generator to generate 50 values between zero and one (inclusive). List them in
[link] . Round the numbers to four decimal places or set the calculator MODE to four places.
Complete the table.
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Calculate the following:
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s = _______
first quartile = _______
third quartile = _______
median = _______
Organize the data
Construct a histogram of the empirical data. Make eight bars.
Construct a histogram of the empirical data. Make five bars.
Describe the data
In two to three complete sentences, describe the shape of each graph. (Keep it simple. Does the graph go straight across, does it have a V shape, does it have a hump in the middle or at either end, and so on. One way to help you determine a shape is to draw a smooth curve roughly through the top of the bars.)
Describe how changing the number of bars might change the shape.
Theoretical distribution
In words,
X = _____________________________________.
The theoretical distribution of
X is
X ~
U (0,1).
In theory, based upon the distribution
X ~
U (0,1), complete the following.
μ = ______
σ = ______
first quartile = ______
third quartile = ______
median = __________
Are the empirical values (the data) in the section titled
Collect the Data close to the corresponding theoretical values? Why or why not?
Plot the data
Construct a box plot of the data. Be sure to use a ruler to scale accurately and draw straight edges.
Do you notice any potential outliers? If so, which values are they? Either way, justify your answer numerically. (Recall that any DATA that are less than
Q1 – 1.5(
IQR ) or more than
Q3 + 1.5(
IQR ) are potential outliers.
IQR means interquartile range.)
Compare the data
For each of the following parts, use a complete sentence to comment on how the value obtained from the data compares to the theoretical value you expected from the distribution in the section titled
Theoretical Distribution .
minimum value: _______
first quartile: _______
median: _______
third quartile: _______
maximum value: _______
width of
IQR : _______
overall shape: _______
Based on your comments in the section titled
Collect the Data , how does the box plot fit or not fit what you would expect of the distribution in the section titled
Theoretical Distribution ?
Discussion question
Suppose that the number of values generated was 500, not 50. How would that affect what you would expect the empirical data to be and the shape of its graph to look like?
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?