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Mathematics & Economics
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English (U.S.)
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Topic:

Different Numerical Measures for Describing Data

Essay Instructions:

In the discussion for this unit, you will investigate different numerical measures for describing data. You will use the Excel spreadsheet given in the instructions below to perform these calculations.
Choose one of the links to locate a data set or create your own by finding a set of data. For this discussion, your data set must be quantitative. If you choose a data set that has two variables, you may use one variable for this discussion, and in an upcoming unit (Unit 4), you may use both variables. Some good sites to obtain data are:
Data.gov
Once on this site, there is a search bar that will automatically populate categories for some data sets. You can also type in your own category for the data you are interested in.
Major League Baseball Statistics
This site contains Major League Baseball statistics.
Pro Football Reference
This site contains professional football statistics.
In addition to the sites above, you can use the internet to create your own set of data. Some other ideas for data sets include:
Prices of homes for sale in your town or city
Costs of flights by one airline to different locations
Interest rates from banks
Distances to favorite vacation destinations, or distances of brightest stars
Numbers of letters in words used for a spelling contest
Enrollment rates at a college or university
Prices of cars at a dealership
There is no end to the list of possible data sets for this activity, so get creative! Whichever dataset you use, be sure to include a description or reference of where you found the data.
Be sure your data set includes more than 25 data items, but less than 40 data items. If you locate a data set that has more than 40 items, you may choose to use any number of items between 25 and 40. If your chosen data set includes 25 or fewer data items, you may make up enough or repeat some of the items to have more than 25 data items. Enter the data into this spreadsheet (also located in Course Resources). Post your data into column B to show the calculations for the mean, median, mode, and standard deviation.
For your post, name the population which this data set represents. Which measure of center (mean, median, or mode) best represents your data? Explain why you think so. Remember to attach your Excel spreadsheet to your discussion post

Essay Sample Content Preview:

Different Numerical Measures for Describing Data
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I used the Students Performance in Exams dataset from Kaggle.com. The dataset contains marks secured in various subjects by high school students in the US. I chose to analyze the math scores of 40 students marked out of a total score of 100.
The dataset I choose represents a population of all high school students in the US. A population is a distinct group of objects, observations, or individuals with a common characteristic (Australian Bureau of Statistics, n.d.). It is the entire group of individuals or things from which a sample is drawn for a particular study
Data can be expressed numerically by various statistical measures often grouped in 3 categories: measures of dispersion, position, and center (GeeksforGeeks, 2019). Measures of center describe an entire dataset with a single value representing the center or the middle of its distribution. The most common measures of location or center are mode, median, and mean.
The mode is the most frequent value in a dataset. It is not the most appropria...
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