Using the response data from your student survey, create Z-Scores for Math Anxiety Levels. On a scale of 1 to 10 rate your anxiety that you have with math: (Here are the 20 responses) 3, 8, 8, 10, 7, 9, 1, 10, 3, 7, 2, 3, 5, 2, 9, 4, 6, 7, 6, 1 a. Set up the variable in SPSS and copy the data from the survey into SPSS and do the following:  Use SPSS to convert the scores to z-scores  Create a frequency table and a graph for BOTH the raw scores and the Z scores  Calculate the mean, mode, median, variance, range, and standard deviation, for BOTH the raw scores and Z scores of the selected variable.  Copy and paste your data for the Z scores as well as the requested output directly into the document. b. Provide a narrative description of the raw data followed by a general description of the Z score. What patterns do you see in the data based on the distribution? c. If you did not already address these points in your narrative description, please answer the following questions about your data analysis:  Present and Explain Measures of Central Tendency including the Mean, Mode, and Median for both the raw data. What do these terms mean?  Are there outliers? Given the distribution of the data, which measure is best to report and what conclusions can you draw for the research question and variable presented?  Z-scores - What are the mean and standard deviations for the Z-scores? Are these normal? If so, why?  In terms of Z-scores how do we define outliers? Based on the Z-Scores, what scores are outliers?  Present and Explain Measures of Variability including Range, Variance, and Standard Deviation. What do these terms mean?  Given the data what conclusions can you draw for the research question and variable presented?  Is there any other striking information that stands out and should be addressed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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Question

Using the response data from your student survey, create Z-Scores for Math Anxiety Levels.

On a scale of 1 to 10 rate your anxiety that you have with math: (Here are the 20 responses)

3, 8, 8, 10, 7, 9, 1, 10, 3, 7, 2, 3, 5, 2, 9, 4, 6, 7, 6, 1

a. Set up the variable in SPSS and copy the data from the survey into SPSS and do the
following:
 Use SPSS to convert the scores to z-scores
 Create a frequency table and a graph for BOTH the raw scores and the Z scores
 Calculate the mean, mode, median, variance, range, and standard deviation, for
BOTH the raw scores and Z scores of the selected variable.
 Copy and paste your data for the Z scores as well as the requested output directly
into the document.
b. Provide a narrative description of the raw data followed by a general description of
the Z score. What patterns do you see in the data based on the distribution?
c. If you did not already address these points in your narrative description, please
answer the following questions about your data analysis:
 Present and Explain Measures of Central Tendency including the Mean, Mode,
and Median for both the raw data. What do these terms mean?
 Are there outliers? Given the distribution of the data, which measure is best to
report and what conclusions can you draw for the research question and variable
presented?
 Z-scores - What are the mean and standard deviations for the Z-scores? Are these
normal? If so, why?
 In terms of Z-scores how do we define outliers? Based on the Z-Scores, what
scores are outliers?
 Present and Explain Measures of Variability including Range, Variance, and
Standard Deviation. What do these terms mean?
 Given the data what conclusions can you draw for the research question and
variable presented?
 Is there any other striking information that stands out and should be addressed?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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