1. Do Now

2. Chapter 5 Section E and F

3. Vocabulary Relative frequency- frequency expressed as a fraction of the total frequency Cumulative frequency- sum of the frequency up until the event. Cumulative relative frequency- sum of the relative frequency up until the event.

4. CategoryFrequencyCumulative Frequency Relative Frequency Cumulative Relative Frequency Rap4 Country3 Rock6 Classical2 Total

5. CategoryFrequencyCumulative Frequency Relative Frequency Cumulative Relative Frequency 0-13 1.01 - 25 2.01- 32 3.01 -410 Total

6. Create a frequency bar graph and draw the frequency polygon

7. Create a cumulative frequency graph

8. Summarizing Data Given : 3, 6, 5, 4, 5, 5, 6, 7, find the mean, median and mode.

9. Given a frequency chart; find mean, median, and mode. DataFreq.(F )( x) 31 41 53 67 715 88 95 Total40

10. Do Now- Reminder DataFrequency 101 154 202 254 303 357 403 Find the mean, median, and mode for this data

11. Given a grouped frequency chart; find the mean DataFreq.(F )( x) 2-31 3-41 4-53 5-67 6-715 7-88 8-95 Total40

12. Given a grouped frequency chart; find the median Test MarkNumber of Students 30-396 40-4920 50-5964 60-6987 70-7951 80-8919 90-9910

13. Quartiles Lower Quartile (Q1) = 25% of total frequencies Median Value (Q2) = 50% of total frequencies Upper Quartile (Q3) = 75% of total frequencies. Ex: 1,2,3,3,3,4,5,6,6,6,7,8,9,9,10,12

14. Quartiles with Cumulative Frequency Charts

15. Measuring the Spread Maximum= Highest Number Minimum= Lowest Number Range= Maximum – Minimum Interquartile Range = Q3 – Q1 Ex: For the data set 1,1,1,2,2,3,4,6,6,7,8,8,8,9,10,find the a. median b. lower quartile c. upper quartile d. interquartile range

16. Practice 1.Find the interquartile range. 2.Find the 40% percentile.

17. Plot what you now know in a Box-and Whisker Plot

18. Example For the data set: 2,3,4,4,4,5,5,5,6,6,6,7,8,9,9,10, Create a Box-and-whisker plot.

19. Outlier Test Using Boundaries Upper boundary = Q3 + 1.5 x IQR “any data larger than this is an outlier” Lower boundary = Q1 – 1.5 x IQR “any data smaller than this is an outlier” This is designated with an asterik. Whiskers extend to the last value that is not an outlier

20. Example 1,1,1,2,2,2,3,3,3,3,5,5,8,9,25

21. Measuring Dispersion So far we have range and IQ that measure dispersion. Variance- average distance of the square of each data from the mean. Standard Deviation- square root of the variance. How far each value is from the mean

22. Steps Find the mean Subtract each value from the mean Square the differences Find the average of the squares Take the square root

23. Example 15, 20, 30, 35

24. Calculator steps STAT, Edit (enter) Clear List 1 and enter data into L1 Press keys: stat, >(calc), 1:1-var stats, 2 nd L1, enter (or stat, calc, enter, enter) Ex: 5,10,10, 15,15,20,30,35,35,40,40,45