Chapter 2 (Intro and 2

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Southern New Hampshire University *

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Statistics

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Feb 20, 2024

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docx

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Chapter 2 – Organizing and Summarizing Data OUTLINE 2.1 Organizing Qualitative Data 2.2 Organizing Quantitative Data: The Popular Displays 2.3 Additional Displays of Quantitative Data 2.4 Graphical Misrepresentations of Data Putting It Together Chapter 1 discussed how to identify the research objective and collect data. We learned that data can be obtained from either observational studies or designed experiments. When data are obtained, they are referred to as raw data . The purpose of this chapter is to learn how to organize raw data into a meaningful form so that we can understand what the data are telling us. The first step in determining how to organize raw data is to determine whether the data is qualitative or quantitative.
Section 2.1 Organizing Qualitative Data Objectives Organize Qualitative Data in Tables Construct Bar Graphs Construct Pie Charts Objective 1: Organize Qualitative Data in Tables O BJECTIVE 1, P AGE 1 1) What is used to list each category of data and the number of occurrences for each category of data? A frequency distribution lists each category of data the number of occurrences for eachcatagory of data. O BJECTIVE 1, P AGE 2 Example 1 Organizing Qualitative Data into a Frequency Distribution A physical therapist wants to determine types of rehabilitation required by her patients. To do so, she obtains a simple random sample of 30 of her patients and records the body part requiring rehabilitation. (See Table 1.) Construct a frequency distribution of location of injury. Table 1 Back Back Hand Wrist Back Back Groin Elbow Back Back Back Groin Shoulder Shoulder Hip Knee Hip Shoulder Neck Knee Knee Shoulder Shoulder Neck Back Back Back Back Knee Back Data from Krystal Catton, student at Joliet Junior College Back IIIIIIIIIIII12 Hand II 2 Wrist II 2 Groin I 1 Elbow I 1 Shoulder IIII 4 Hip II 2 Knee IIIII 5 Neck I 1 O BJECTIVE 1, P AGE 3 2) In any frequency distribution, it is a good idea to add up the frequency column. What should the total be equal to? Spring 2024
The frequemcy colum should equal 30 in this case. O BJECTIVE 1, P AGE 6 3) Define the relative frequency of a category. Relative frequency is the proportion (or percent) of observations within a category and is foundusing the formula: Relative frequency = Frequency/ sum of all frequencies. 4) What is a relative frequency distribution? A relative frequency distribution lists each category of data together with the relative frequency. O BJECTIVE 1, P AGE 7 Example 2 Constructing a Relative Frequency Distribution of Qualitative Data Using the summarized data in Table 2, construct a relative frequency distribution. Table 2 Body Part Frequency Back 12 Hand 2 Wrist 2 Groin 1 Elbow 1 Shoulder 4 Hip 2 Knee 5 Neck 1
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