Module 4 Unit 2 Notes by kccervenka

VIEWS: 21 PAGES: 23

									                                           November 30, 2012




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PROBLEM OF THE WEEK!
November 30, 2012
                                                                                                                   November 30, 2012

 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
   The table below shows how many cars of each color were parked at
   a shopping mall at 10 AM on a Saturday.

             Color of Car                           Tally                             Frequency

             Red                 1111 1111 1111 11
             Blue                1111 1111 1111 1111 1
             Gray                1111 1111 1111 1111 1111 1111 1
             Gold                1111 1111 1
             Green               1111 1111
             Black               1111 1111 1111 1111

     1. Create a frequency table by writing the numbers for each frequency.

 You can organize the frequency numbers using a stem-and-leaf plot. For
 example, the stem for 17 (the number of red cars) will be 1, the leaf will be 7.
    2. Complete the stem-and-leaf plot. For each
    stem, order the leaves from least to greatest.                           Stems      Leaves

                                                                                  0        9
                                                                                  1

                                                                                  2

                                                                                  3

Example 1:                                                                                 Key:

  The list shows the average high temperatures for 20 cities on one February day. Make a
  cumulative frequency table of the data. How many cities had average high temperatures
  below 59 degrees?

         69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2


                                    February Temperatures in 20 Cities
                         Average Highs             Frequency          Cumulative Frequency




                     __________cities had average high temperatures below 59 degrees.

Example 2:

    The data shows the number of years coached by the top 15 leaders in alltime NFL
    coaching victories. Make a stem-and-leaf plot of the data. Then find the number of
    coaches who coached fewer than 25 years.
                     33, 40, 29, 33, 21, 23, 23, 22, 19, 21, 18, 23, 15, 15, 15




   Example 3:
      Make a line plot of the data. How many hours per day did Morgan babysit
      most often?

             M       T      W      Th         F    S      Su
 Wk 1        0       6       4      6     5        8        2
 Wk 2        2        7      7      7         0    6        8
 Wk 3        0       6       8      5         6    1        2
 Wk 4        4       8       4      3         3     6       0


                                                                       0    1     2    3       4   5   6   7   8
November 30, 2012
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                                                                                                                                   November 30, 2012

    Mean, Median, Mode, and Range Notes

              Mean-­‐	
  ______________of	
  the	
  values	
  _____________________by	
  total	
  numbers

              Median-­‐	
  _________________________number

              Mode-­‐	
  value	
  occurs	
  the	
  _____________________	
  (most	
  popular)

              Range-­‐	
  difference	
  between	
  the	
  largest	
  and	
  the	
  _______________________________values

              Outlier-­‐	
  an	
  _______________________	
  value	
  (number	
  that	
  does	
  not	
  fit	
  in	
  with	
  the	
  rest	
  of	
  the	
  data)



     Example	
  1:	
  	
  
          Find	
  the	
  mean,	
  median,	
  mode,	
  and	
  range	
  of	
  the	
  data	
  set.
                            4,	
  	
  	
  7,	
  	
  	
  8,	
  	
  	
  2,	
  	
  	
  1,	
  	
  	
  2,	
  	
  	
  4,	
  	
  	
  2

           Mean:                                                                                                                   Mode:




          Median:                                                                                                                   Range:




Example	
  2:	
  	
  
    The	
  line	
  plot	
  shows	
  the	
  number	
  of	
  miles	
  each	
  of	
  the	
  17	
  members	
  of	
  the	
  cross-­‐country	
  team	
  ran	
  in	
  
    a	
  week.	
  	
  Which	
  measure	
  of	
  central	
  tendency	
  best	
  describes	
  these	
  data?	
  	
  JusMfy	
  your	
  answer.



                                                                     X
                                                                     X                                                                   X
                                                                     X       X                                                           X X
                                                                     X       X X                                                         X X
                                                                     X       X X                                                       X X X


                                                                     4            6            8           10           12        14    16


  Example	
  3:	
  	
  
       The	
  data	
  shows	
  Sara’s	
  scores	
  for	
  the	
  last	
  5	
  math	
  tests:	
  	
  88,	
  90,	
  55,	
  94,	
  and	
  89.	
  	
  IdenMfy	
  the	
  outlier	
  in	
  the	
  data	
  set.	
  	
  
       Then	
  determine	
  how	
  the	
  outlier	
  affects	
  the	
  mean,	
  median,	
  and	
  mode	
  of	
  the	
  data.	
  	
  Then	
  tell	
  which	
  measure	
  of	
  
       central	
  tendency	
  best	
  describes	
  the	
  data	
  with	
  the	
  outlier.

           Outlier:

                                               With	
  the	
  outlier                                                             Without	
  the	
  outlier
         Mean:                                                                                                         Mean:




          Median:                                                                                                        Median:

          Mode:                                                                                                          Mode:

          Range:                                                                                                          Range:




   Example	
  4:	
  	
  
                  Find	
  the	
  mean,	
  median,	
  mode,	
  range,	
  and	
  outlier	
  of	
  the	
  data	
  set.
                                                        November 30, 2012




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Put your homework on the top left corner of your desk

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PROBLEM OF THE WEEK!
                                                                                                                             November 30, 2012
 Bar Graphs and Histograms Notes

Example 1:
  Use the bar graph to answer each question.


                       Most Widely Spoken Language

                English
               Hindi
             Mandarin
               Spanish
                          0   200      400    600    800      1,000
                              Number of speakers (millions)


  A.      Which language has the least number of native speakers?

  The bar for__________ is the shortest, so______________has the least number of native speakers.




  B.      About how many more people speak Hindi than Spanish?

  About________________more people speak Hindi than Spanish.



 Example 2:

       The table shows the highway speed limits on interstate roads within three states.
       Make a double-bar graph of the data.

                                                      State           Urban                     Rural
                                                    Florida       65 mi/h                     70 mi/h
                                                    Texas         70 mi/h                     70 mi/h
                                                    Vermont       55 mi/h                     65 mi/h




Example 3:
       The table below shows the number of hours students watch TV in one week. Make a
       histogram of the data.



                                                                       Number of Hours of TV
                                                                  1     ll                          6 lll
                                                                  2     lll                         7 llll	
  	
  	
  llll
         Number of Hours of TV Frequency
                                                                  3     llll	
  	
  llll            8 lll
                                                                  4     llll	
  	
  l               9 llll
                                                                  5     llll	
  	
  	
  lll
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                        November 30, 2012
    Reading and Interpreting Circle Graph Notes

 Example 1:

            Use the circle graph to answer each question.




   A.         Which group of echinoderms includes the fewest
             number of species?




  B.          Approximately what percent of echinoderm species are brittle stars and basket stars?




  C.         Which group is made up of a greater number of species, sea cucumbers or sea stars?




Example 2:
    Leon surveyed 30 people about pet ownership. The circle graph shows his results. Use the graph to
    answer each question.


       A.      How many people own dogs only?




       B.      How many people own both cats and dogs?




Check It Out!
1.   Use the circle graph to answer the question. Approximately what percent of
cars were midsize?




 2. Fifty students were asked which instrument they could play. The circle graph
 shows the responses. Use the graph to answer the question. Ten students said
 they play the piano. How many play the flute?




3. Decide whether a bar graph or circle graph would best display the information. Explain your
answers.

The percent of people buying a certain color of a new vehicle




  Example 3:

            Decide whether a bar graph or circle graph would best display the information. Explain
            your answers.


   A.         the percent of U.S. population living in the different states




   B.         the number of tickets sold for each night of a school play
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                 November 30, 2012

Box-and-Whisker Plots Notes
       Vocabulary

       box-and-whisker plot


       lower quartile


       upper quartile


        interquartile range


 Example 1:

             Use the data to make a box-and-whisker plot.
                  Heights of Basketball Players (in.)

                  73, 67, 75, 81, 67, 75, 85, 69




Example 2:

  Use the box-and-whisker plots to answer each question below.




       A.      Which set of heights of players        B.     Which players have a greater
              has the greater median?                       interquartile range?




       C.    Which group of players has more predictability in their height?




  Check It Out!

  1.        Use the data to make a box-and-whisker plot.
                   42, 22, 31, 27, 24, 38, 35




  2.        Use the box-and-whisker plots below to answer the question. Which shoe store has a
            greater interquartile range?
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                             November 30, 2012

Line Graphs Notes
Example 1:

      Make a line graph of the data in the table. Use the graph to determine during which 2-hour
      period did the temperature change the most.




Example 2:

           Use the graph to estimate the population of Florida in 1950.




     Example 3:

       The table shows stock prices for two stocks in one week. Make a double-line graph of the data.




 Check It Out!

 1.         Make a line graph of the data in the table. Use the graph to determine between which two
            months was the increase in number of homes sold the greatest.




      2.      Use the graph to estimate the population of Florida in 1970.




3.         This table shows stock prices for two stocks in one week. Make a double-line graph of the data.
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                       November 30, 2012

Choosing an Appropriate Display Notes

Example 1:
      A.     The students want to create a display to show each species of butterfly as a
             percentage of all species in the butterfly family. Which type of graph would they use?
             Explain.
                                                             Each listed species is______________of

                                                             the______________population.


                                                             A_______________shows how a set of data

                                                             is divided into parts.




 B.        The students want to create a display to show the relationship between the species of
           butterflies in the park. Choose the type of graph that would best represent the data.
           Explain.



              A_____________________shows species do not__________________________ but

              are in the butterfly family.



Example 2:
       The table shows the number of visitors to
       the butterfly park during a four-month period.

       Explain why each kind of display below would
       or would not appropriately represent the data.




A. Circle Graph                               B. Bar Graph




                                                  D. Line Graph
 C. Line Plot




 Check It Out!

 1.        The students want to create a display to show the total number of roses in the garden and
           see which ones occurred more frequently. Which type of graph should they use? Explain.




      2.     The table shows the weights of 4 animals at the Animal Sanctuary. Does the line graph
             below appropriately represent the same data? Explain.
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                            November 30, 2012

 Populations and Samples Notes
          Vocabulary

          population


                sample


                random sample

                convenience sample


                biased sample


     Example 1:
            Determine which sampling method will better represent the entire population. Justify
            your answer.




Example 2:

     Determine whether each sample may be biased. Explain.

     A.       The mayor surveys 100 supporters at a rally about the most important issues to be addressed
             by the city council.




     B.      The principal sends out questionnaires to all of the students to find out what kind of music
            students prefer at dances.




Example 3:
      A principal of a school with 1,500 students estimates that about 400 students will attend a
      band festival on Saturday. A random sample of 25 students showed that 6 of them will attend.
      Determine whether the principal’s estimate is likely to be accurate.


            Set up a proportion to predict the total number of students that will attend.


                   students attending in sample         students attending in population

                         size of sample                       size of population




Check It Out!
1.        Determine which sampling method will better represent the entire population. Justify your
          answer.

                       Sampling Method                                   Results
     Pedro surveys the offense on his football team         87% said the quarterback was the
     on who was the team's more valuable player             most valuable player.

     Chad surveys 5 players from the offense and 5
                                                      65% said the quarterback was the
     players from the defense on his football team on
                                                      most valuable player.
     who was the team's most valuable player.




     2.      Determine whether the sample may be biased. Explain. The owner of a record shop
             surveys only customers over the age of 18 who shop at his store.




 3.         The owner of a large chain restaurant with 1,200 employees estimates that about 250
            employees will ask for winter vacation. A random sample of 40 employees showed that 8
            of them will ask for the time off. Determine whether the owner’s estimate is likely to be
            accurate.
November 30, 2012
                                                                                               November 30, 2012

Scatter Plots Notes

Example 1:
  Use the data to make a scatter plot. Describe the relationship between the data sets.




 Example 2:
    Write positive correlation, negative correlation, or no correlation to describe
    each relationship.




                                           A. Population increase with area.



                                           B. Height and number of vacation days




 Check It Out!
    1. Use the data to make a scatter plot. Describe the relationship between the data sets.




  2. Write positive correlation, negative correlation, or no correlation to
      describe each relationship.
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                  November 30, 2012

Misleading Graphs Notes
Example 1:
         Which graph could be misleading? Why?




 Example 2:
       Explain how you could redraw the graphs so it would not be misleading.




Check It Out!




  2.      Explain how you could redraw the graph so it would not be misleading.
                                                        November 30, 2012




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