Section 1



Section 2.2 – Organizing Quantitative Data: The Popular DisplaysWhat is the first step in summarizing quantitative data?What are classes?Identify Objective 1:Example: Constructing Frequency and Relative Frequency Distribution from Discrete Data.The following data represent the number of available cars in a household based on a random sample of 50 households. Construct a frequency and relative frequency distribution.30121112024222122024113241212233212203222321221135Number of CarsTallyFrequencyRelative Frequency012345Identify Objective 2:A histogram is constructed by drawing rectangles for each ______________________ of data.What does the height of each rectangle in a histogram represent?What is important to know about the width of each rectangle?Example: Construct a frequency histogram and a relative frequency histogram using the data from the previous example.Identify Objective 3:How are categories created for continuous data?AgeNumber (in thousands)25 – 342,13235 – 443,92845 – 544,53255 – 645,108This table is a typical frequency distribution made from data that represent the number of U.S. residents between the ages of 25 and 74 who have earned a bachelor’s degree. The data are based on the current population survey conducted in 2003.What is the first class?__________________ How many classes are there?_______________What is the lower class limit and how is it found for the first class?What is the upper class limit and how is it found for the first class? What is the class width and how is it found for the data in this table?Example: Organizing Continuous Data into a Frequency and Relative Frequency Distribution.The following data represent the time between eruptions (in seconds) for a random sample of 45 eruptions at the Old Faithful Geyser in Wyoming. Construct a frequency and relative frequency distribution of the data.Class IntervalsTallyFrequencyRelative Frequency670 – 679680 – 689690 – 699700 – 709710 – 719720 – 729730 – 739What are the guidelines for determining the lower class limit of the first class and class width:Give the formula for computing the class width:Identify Objective 4:Example: Construct a frequency and relative frequency histogram of the data from the previous example.Identify Objective 5:What is a stem-and-leaf plot?Example: Constructing a Stem-and-Leaf Plot.An individual is considered to be unemployed if they do not have a job, but are actively seeking employment. The following data represent the unemployment rate in each of the fifty United States plus the District of Columbia in June, 2008. Steps to Constructing a Stem-and-Leaf plotStep 1: The _______________ of a data value will consist of the digits to the ____________________. The _______ of the data value will be the __________________.Step 2: Write the stems in a vertical column in _________________ order. Draw a vertical line to the right of the stems.Step 3: Write each leaf corresponding to the stems to the _______________ of the vertical line.Step 4: Within each stem rearrange the leaves in __________________________order.When would we use split stems?What is an advantage of stem-and-leaf diagrams over histograms?Identify Objective 6:How is a dot plot drawn?Example: Drawing a Dot Plot.The following data represent the number of available cars in a household based on a random sample of 50 households. Draw a dot plot of the data. 30121112024222122024113241212233212203222321221135Identify Objective 7:a.b.c.d.Example: Identifying the Shape of the Distribution.Identify the shape of the following histogram which represents the time between eruptions at Old Faithful. ................
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