POS 401 Quiz 2

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Arizona State University *

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401

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Mathematics

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Apr 3, 2024

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6

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Score for this attempt: 11 out of 11 Submitted Mar 24 at 7:23pm This attempt took 2 minutes. Question 1 1 / 1 pts This type of variable is qualitative in nature, and its different values are not ordered. Correct! Categorical By qualitative, we mean that it is not quantified in any way and that it cannot be manipulated through math. Ordinal Question 2 1 / 1 pts These variables take only on integer values but can be manipulated through math Correct! Count variables Ordinal variables Question 3 1 / 1 pts
Continuous variables must be able to take on any value on the real line. True Correct! False Continuous variables could take on an infinite number of values within their range. Question 4 1 / 1 pts Statistical distributions are: Correct! A tally of how many times a variable takes on each of its possible values In other words, distributions describe the frequencies of each value a variable can take. A graph showing the frequencies of each of the values of a variable The maximum and minimum values a variable can take Question 5 1 / 1 pts What is a histogram?
No answer text provided. Correct! A graph that groups potential values of a variable into bins, and show the proportion of observations that fall into each bin An alternative to histograms is density plots. Density plots are used for continuous variables since they operate like histograms with tiny bins and can therefore show the variation of a continuous variable with more detail. A graph that shows the distribution of the data generating process Question 6 1 / 1 pts Why is it important to examine the distribution of a variable? For this question, you need to select multiple correct answers. Pick all that apply. Correct! Because the distribution contains all the information of a variable Because it tells us how to analyze the data Correct! Checking the distribution can help us track changes in a variable across time Correct!
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Because it can let us know if we are dealing with outliers Question 7 1 / 1 pts We use these two quantities to summarize a distribution. Pick all that apply. Range Correct! Location Location is a measure of where in the possible values of a variable we find most variables Correct! Scale The scale of a variable is a measure of how widespread is our data within the range of a variable. Question 8 1 / 1 pts This is a measure of central tendency that is susceptible to outliers Correct! Mean
Recall also that the mean is just the average: the sum of all observations divided by the number of observations. Median Standard deviation Question 9 1 / 1 pts This measure of the scale of a variable tells us how far away the typical observation is from the mean. Interquartile range Correct! Standard deviation Please remember that the standard deviation tells us the distance to the mean , not the median . This is what makes it susceptible to outliers. Question 10 1 / 1 pts In statistics, we normally assume that our data comes from a theoretical distribution (i.e. the data generating process). One of those distributions is the normal. Which quantities do we use to describe this distribution? A median and an interquartile range Correct!
A mean and a standard deviation You may wonder about the name ‘standard deviation’. It is deviation because it is measuring distance from the mean. It is standard because it is in the units of the original variable. Question 11 1 / 1 pts Why is the normal distribution so common in statistical analyses? Select all that apply. Because it is convenient. Correct! Because it is common in nature We observe the normal distribution in nature because it is the distribution things take when they are the result of several forces or fluctuations that combine across time. Quiz Score: 11 out of 11 Previous Next
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