The store that has a greater variety of numbers of wristbands sold is the store whose box plot has a greater IQR value.
<h3>How do we Determine Variability in a Box Plot?</h3>
- Variability of a data distribution that is represented by a box plot can be determined by the interquartile range (IQR) = Upper Quartile (Q3) - Lower Quartile (Q1).
- See the diagram attached below to understand how to get the Q3 and Q1 of the data distribution.
In conclusion, variability is a measure of IQR. The greater the IQR of a box plot, the greater the variety. Thus, the store that has a greater variety of numbers of wristbands sold is the store whose box plot has a greater IQR value.
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<h3>
Answers: Choice B and Choice C</h3>
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Explanation:
The symbol or mu represents the population mean, which is a parameter.
The symbol or sigma represents the population standard deviation, which is also a parameter. The same goes for the symbol p, without any hat on top, as it is the population proportion.
If something represents a population data item, then it's automatically a parameter. It might help to think both words "population" and "parameter" start with the letter P.
Based on those previous paragraphs, we can rule out choices A, D and E. Those three items are parameters. This leaves <u>choices B and C</u> as our final answers.
or xbar is a sample statistic, and it represents an estimate of the population mean. Similarly, or p-hat is the sample proportion and it represents an estimate of the population proportion. These are considered unbiased estimators.
Another example of an unbiased estimator is the variable s which represents the sample standard deviation and it estimates the value of sigma. All of these estimators have one thing in common: they are based on a sample, which in turn tries to predict what the corresponding population value is. In other words, the statistic's job is to estimate the parameter.
Below is a reference table for all of the items mentioned.
The quotations which support the central idea that brutus thinks caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
<h3>Who was Julius Caesar?</h3>
Julius Caesar was a Roman politician who was known for his conspirator against Julius Caesar.
The act 2, scene 1, of the Julius Caesar is given in the problem. In this scene, Brutus paces back and forth in the garden.
In this scene, he thinks Caesar is dangerous and needs to be killed. The quotations provided in option A, D and E suggest the central idea for the same.
Thus, the quotations which support the central idea that Brutus thinks Caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
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while the speaker appreciates the warmer climate at first
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