Percentiles and Standard Scores in ACT Data

First, read CHAPTER 7 Percentiles and Percentile Ranks from An Introduction to Statistical Reasoning in Quantitative Research Percentiles and percentile ranks are measurement of position within a reference group. Chances are that you scored above the 85th percentile of your high school graduating class. Lets say, for arguments sake, that you were listed as scoring at the 90th percentile. What does that mean In the RSH Data Set, look specifically at the variable Composite ACT Score Second Attempt. Determine the frequency of each ACT score. This can be done by viewing the number counts from a histogram. Report the frequency of each ACT second attempt score in the data set. (5 pt) Create a cumulative frequency table consisting of each X value (ACT score). Reference p. 66 as needed. (4 pt) What is the percentile rank for students scoring 23 on the ACT second attempt? (3 pt) What is the percentile rank for students scoring 27 on the ACT second attempt? (3 pts) Statistics Homework Five (15 pt) The Concept of Standard Scores. On page 95-99 of the required text, there is a section called the concept of standard scores. An example of a standard score is the Z-score. Z-scores are standard score translations of raw scores often used when interpreting a score within a distribution of scores (p. 96). In the RSH Data Set, look specifically at the variables Composite ACT Score First Attempt and Composite ACT Score Second Attempt. For each ACT datum point, calculate and report the respective Z-score (5 pt). What is the percentile rank for an individual with a Composite ACT First Attempt Score of 24? Use the Z table for the area under the curve on page 181 from the text (5 pt) What is the percentile rank for an individual with a Composite ACT Second Attempt Score of 24? Use the Z table for the area under the curve on page 181 from the text (5 pt)