Assignment #1 Descriptive Statistics

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School

University of North Carolina, Chapel Hill *

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Course

210

Subject

Statistics

Date

Apr 3, 2024

Type

docx

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1. Broadly speaking, what do descriptive statistics tell us? Descriptive statistics provide an overall summary of the main aspects of a dataset. Descriptive statistics can also reveal what central tendencies, distribution, and variability is like. These tools can be very beneficial when trying to draw initial conclusions on any data. 2. What is the mean, median, and mode for each variable? Do all these measures make sense, given the values of the variable? If not, which ones don’t have meaning or are not useful information? The mean, median, and mode vary between each variable. The Ethnic category has a median of 2, mean of 1.85, and a mode of 1. The stress variable has a mean of 4.34, median of 4, and a mode of 5. The drinks variable has a mean of 4.75, median of 4, and a mode of 6. All the measurements make sense because the mean, median, and mode represent the average data point. 3. Which measure(s) of central tendency is the best to use for each variable and why? (This is a good place to specify what type of variable you considered stress to be!) What evidence did you use to answer this question? The best measurement of central tendency to use for the ethnic group is mode because it represents the largest ethnic group (which is African Americans) taking the survey. The best measurement of central tendency for stress would be the mean. The mean can represent the average stress level for all ethnic groups. When seeking the central tendency for drinks, looking at the mean is the best measurement for this data, because you can see how the number of drinks is correlated to stress level. 4. Without looking at a skew value or a graph, try to answer the following question: Are any of these variables heavily skewed? What did you use to help you determine the answer? The drink variable was heavily skewed due to the outliers within the data set. I used the median and mean to determine the answer, because I know the median is closer to the average number of drinks than the mean would because of the outliers.

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