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Unit 4- Statistics HW 7C and 7D Due Wednesday– 30 points

Unit 4- Statistics HW 7C and 7D Due Wednesday– 30 points. Section 7C- Grouped Quantitative Discrete Data. Grouped Quantitative Discrete Data. You can group data values if there are many different data values with low frequencies. Grouping data  class intervals

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Unit 4- Statistics HW 7C and 7D Due Wednesday– 30 points

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  1. Unit 4- StatisticsHW 7C and 7D Due Wednesday– 30 points Section 7C- Grouped Quantitative Discrete Data

  2. Grouped Quantitative Discrete Data • You can group data values if there are many different data values with low frequencies. • Grouping data  class intervals • You still have a modal class, which means what?? • Compare these two Tables: • Data values: Frequency Table • Vs

  3. Column graph for grouped data is the same • Just have the intervals on the x-axis • Most likely you will have grouped intervals for your data. • How would you group GPA? • How would you group ages of students at GWHS

  4. Stem and Leaf Plots • Stem and Leaf plots is a method of writing data in groups without losing information about the actual data value • For numbers with 2 digits • The first digit is the STEM • The second digit is the LEAF • So, in the number 27, 2 is the stem and 7 is the leaf • Examples:

  5. Back to Back Stem and Leaf Plots • A back to back stem and leaf plots allows us to compare sets which are related. • The example is times for the 100 meter freestyle recorded by members of a swimming team • Name two descriptions of the data

  6. Done with Exercise 7C, now it’s your turn to complete a questionOne partner should complete the Zinc half of a stem and leaf, and the other partner should complete the Lead part

  7. Answers to example 7C

  8. This is how I feel

  9. Section 7D- Quantitative CONTINUOUS Data • When we measure data that is continuous, we cannot write down an exact value. Instead we write down an approximation which is only as accurate as the measuring device. • Quantitative Continuous Data is measured using a FREQUENCY HISTOGRAM or just a HISTOGRAM • There are no gaps between the columns • And the modal class is the ______ bar • **** to choose intervals, us the squareroot of the number of data points. For large data sets, we use more classes than less****

  10. Done with Exercise 7D, now it’s your turn to complete a question

  11. Answers to Example 7D

  12. Section 7E- Measuring the Centre of Data • Mean- average • Mean for entire population is μ mu • Mean for sample population is Ë “x bar” • Median- middle value, or average of the two middle values • Mode- value that occurs the MOST, there can be two modes • The calculator will find the mean and median for you • Examples of mean • The average height of adult females is 5 feet 5 inches • The average height of adult females in this class is 5 feet 3 inches • which is the mean for the entire population? • Which is the mean for the sample population?

  13. Find the mean, median, and mode

  14. Answers • Mean = sum of all data/ number of data = 127/18 =7.06 • Median= middle data = 7 • Mode = most frequent data value =there are 5 “5’s” There are three “8’s” There are three “10’s” So, the mode is 5

  15. Find the mean, median, and mode using a calculator Step 1: put data into the calculator -Stat -Enter, Edit -Clear L1 by highlighting L1 and hitting CLEAR and ENTER -Done, so 2nd Quit Step 2: have the calculator find the mean and median for you -Stat - Go right, Calc Enter, for 1-variable Stat Enter

  16. Done with Exercise 7E- Now it’s your turn to do an Example

  17. Answers to Example 7E

  18. Effects of Outliers…central tendency means mean, median, mode

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