HOMEWORK: DATA ORGANIZATION AND DESCRIPTIVE STATISTICS ASSIGNMENT INSTRUCTIONS
OVERVIEW
This Homework: Data Organization & Descriptive Statistics Assignment is designed to assess your understanding of the concepts and applications covered thus far in this course. In this module, you have looked at how to organize data and describe it in terms of central tendency, dispersion, and shape of distribution. You also have covered cover how to standardize a distribution of data in order to see how a single score compares to other scores. These topics are covered conceptually as well as how to calculate them by hand and in SPSS. These concepts and applications are fundamental to understanding and evaluating data as a consumer in a data-laden world, a consumer of data within our field, and producer of research in our field.
INSTRUCTIONS
Be sure you have reviewed this module’s Learn section before completing this Homework: Data Organization & Descriptive Statistics Assignment. This Homework: Data Organization & Descriptive Statistics Assignment is worth 60 points. Each question is worth 3 points each. Six points are awarded for mechanics/structure.
• Part I contains general concepts from this module’s Learn section.
• Part II requires use of SPSS. You will have to take screen shots and/or copy and paste from your SPSS to place answers within this file. Make sure you only insert relevant and legible images.
• Part III is the cumulative section. These may include short answer and/or use of SPSS but will review material from previous module(s).
• Directions for each subsection are provided in the top of each table (in the blue shaded areas).
• Answers should be placed where indicated (wherever there is “ANSWER”).
• Submit the file as a WORD document (.doc or .docx). Make sure the filename of your submission includes your full name, course and section.
o Example: HW4_JohnDoe_510B01
Make sure to check the Homework Grading Rubric before starting this Homework: Data Organization & Descriptive Statistics Assignment.
Part I: General Concepts
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These questions are based on the concepts covered in this module’s assigned readings and presentations.
31 47 53 57 61 67
40 49 55 58 62 68
41 50 56 58 64 69
1. The following data represents 18 emotional intelligence test scores. Organize these data into a class interval frequency distribution using 3 intervals with frequency (f) and relative frequency (rf) columns.
ANSWER: Fill in the yellow cells:
Class Intervals (use whole numbers) f rf (round to 2 decimals)
31-43 3 0.17
44-56 7 0.39
57-69 8 0.44
N = 18
2. What is the class width?
What is the upper class limit of the first interval? ANSWER
Class width = (69 - 31) / 3 = 38 / 3 ≈ 12.67 (13 rounded)
Upper class limit = 43
Answer the following question related to your assigned readings and presentations.
3.
What do the following symbols represent?
a. Nb. µ b. N: represents the total number of individuals in a population.
b. µ: represents the population mean, which is the sum of all the data points in a population divided by the number of data points.
Use the following five (5) numbers to calculate the following by hand (must show all work and do NOT round)
3 3 4 5 9
4. Calculate all measures of central tendency. Label each one. ANSWER
Mean = 4.8 (equation: (3 + 3 + 4 + 5 + 9) / 5 = 24 / 5 =?)
Median = 4
Mode = 3
5. Is this data best described as normal, positively skewed, or negatively skewed? How does your previous answer confirm this? ANSWER
The data is positively skewed as the tail is longer on the right side due to the 9 being farther from the mean than the other values), and the mean is greater than the median.
6. Calculate the range and average deviation. Show all work. ANSWER
Range = 6
Equation: 9-3
Average Deviation = 1.44
Equation: (3-4.8) + (3-4.8) + (4-4.8.) + (5-4.8) + (9-4.8) / 5
7.
Calculate the standard deviation using the formula from ch.5 . Show all work. ANSWER
8.
State two ways the standard deviation differs from the average deviation. ANSWER
Students in the psychology department consume an average of 5 cups of coffee per day with a standard deviation of 1.75 cups. The number of cups of coffee consumed is normally distributed. Make sure you do NOT round when answering any of these questions. When applicable, show ALL work for full points.
9. Nancy drank 6 cups of coffee. What proportion of students drank FEWER cups of coffee than Nancy? (do not round and use the table in the appendix of the Jackson e-book)
ANSWER
Z = (X - µ) / σ
Z = (6 - 5) / 1.75 ≈ 0.57
The value associated with a z-score of 0.57 is approximately 0.7157.
71.57% of students drank fewer cups of coffee than Nancy.
10. Which of the following curves (A, B, or C) best illustrate where Nancy’ s data would be? ANSWER
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