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3: Center, Variance, and Distributions

Students calculate mean, median, standard deviation, and variance, convert values to z-scores, and determine percentile ranks from sorted data.

Matching Measures of Center to Definitions

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Match each of the following measures of center with their corresponding definitions.
Note: Each choice will be used exactly once.

Your Choice Prompt
Drop Your Choice Here 1. Midrange
Drop Your Choice Here 2. Mode
Drop Your Choice Here 3. Median
Drop Your Choice Here 4. Mean

Drag one of the choices below:

  • A. The most common data point(s) within a set.
  • B. The value located at the midpoint of an ordered data set, or the average of two middle values for an even set.
  • C. A central tendency measure determined by the total sum of values divided by how many values there are.
  • D. The midpoint between the smallest and largest values in the data set.
 

Measures of Center from Definitions

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Which one of the following measures of center correspond to the definition 'The value that appears with the greatest frequency in the set.'.

 

Descriptive Statistics Using Google Sheets

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Purpose: This assignment will help you practice making your own copy of a Google Sheet template and using with for statistical calculations. Throughout this course, we will use Google Sheets regularly. Take some time to look at the formulas in the sheet and notice how they work.
Follow these steps carefully:
(1) Open the Google Sheet Template: Google Sheet Template
(2) Go to File → Make a copy to create your own version.
(3) Enter the following numbers into the Raw Data column:
34
54
57
27
10
72
34
40
93
59

(4) Once the data is entered, look at the Descriptive Statistics column and enter the following values here:

  • Mean
  • Median
  • Mode
  • Range

Important: Report each answer as a whole number only (no decimals).