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1. The coordinator for the Student Support Program administered a standardized, norm-referenced assessment to students who attend a study skills program in the center. Higher scores reflect strong study skills, while low scores reflect weak skills. She needs to prepare a report that describes the performance of five students who are being considered for an experimental work-study program. She presents you with her distribution of the test scores.

Name Score (X) f cf cf %
Sheldon 56 1 25 100%
Robin 55 1 24 96%
Lily 53 1 23 92%
Barney 50 2 22 88%
Leonard 49 2 20 80%
Marshal 48 1 18 72%
Leslie 45 2 17 68%
Howard 44 1 15 60%
Stuart 43 3 14 56%
Michael 40 1 11 44%
Dwight 39 2 10 40%
Jim 38 1 8 32%
Andy 36 1 7 28%
Erin 35 1 6 24%
Ryan 33 1 5 20%
Angela 32 1 4 16%
Kristen 29 1 3 12%
Toby 28 2 2 8%

Refer to the mean, standard deviation, and ranges for performance based on the normal curve also describe the performance for the five students based on the cf % above.


2. You've agreed to take a part-time evening position tutoring students at the local Sylvania Learning Center. The center has gathered assessment information from the students' schools regarding their reading, writing, and math performance. You need to review the results and determine which students need to be tutored in which subject areas. Using the data below decide which students are below average in each subject area.

Reading - %ile rank Writing - t score Math - z score
Paul 17 36 -0.6
Tamara 61 57 +0.4
Danielle 3 19 -0.8
Vivian 10 57 +1.6
Chris 58 49 -2.1
Yakima 37 41 -0.4
Marnie 19 33 +.2
Jason 47 52 +2.3
Leon 92 19 -0.7
Russell 26 51 +1.2

Which students are below average in Reading?

Which students are below average in Writing?

Which students are below average in Math?

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Solution Summary

The Word file contains the solutions to the questions, finding the mean, standard deviation and ranges, and averages, as needed.

Solution provided by:
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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