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Statistics: Analyzing Quantitative Data Review of Histograms Do Now: 1. Describe the histogram using SOCS 2. How many extra curricular activities do you participate in? 1. Designate one person from your table group to come to the board and document each group member’s answer. Overview • Grades/Quiz • Homework tonight: Journal • Overview of this week Homework from Friday • Questions on just the part involving histograms? Histograms: • What is the biggest difference between a histogram and a bar graph? Histograms: • The bars are always touching • Used to describe Quantitative Data – Whereas Bar graphs are used to describe Categorical Data • When creating a histogram: – I will never penalize you for what you choose as a “bin width” (within reason) – You need to have a title and label your axis. Histogram of Extra Curricular Activities • Let’s create it! • First– what’s the context for this data? – – – – – – Who? What? When? Where? Why? How? • What kind of variables do we have? Create a histogram Example B: • The Cornell Lab or Ornithology holds an annual Christmas Bird Count, in which birdwatchers at various locations around the country see how many different species of birds they can spot. Here are some of the counts reported from sites in Texas during the 1999 event. 178 206 156 186 177 153 162 175 153 206 167 152 166 162 228 a. Create a histogram of the data b. Write a brief description of the data 163 160 183 160 181 157 Describing Histograms: • SOCS: – Shape: Modal + Symmetric vs. Skewed – Outliers? – Center – Spread Example One: Follow Up: • Would you expect the mean to be larger or smaller than the median? – Why? Example Two: Frequency Temperature in the Bahamas over the course of a year Temperature Follow Up Question • In the last example, would you expect the mean to be larger or smaller than the median? – Why? Example Three: • What’s wrong with this histogram? Practice Problems • Try some in your table groups! Exit Ticket Use SOCS to describe the histogram below