1. Tuesday, February 18th What is the range of the upper 75%?
What number represents Q1

2. EOCT Week 5-#2 What class has the highest pulse rates? Class 1 Class 2

3. All absent/missing work is due THURSDAY!!!
Reminder
Friday: Test #2-Statistics Part 1
All absent/missing work is due THURSDAY!!!

4. CW
Grades

5. HW
Hand in!

6. Whiteboard
Review

7. #1
Which is NOT a measure of central tendency?
Mean
Mode
MAD
Median

8. #2
Which is NOT a measure of spread?
IQR
Outlier
MAD
Range

9. #3
When do you use the median for the BEST measure of central tendency?
When you want the average of the data
When you want the data value that occurred the most
When there is an outlier in the data set
None of the above

10. #4
If you use the mean as the best measure of central tendency, what measure of spread would you use?
IQR
Median
MAD
Outlier

11. #5
If you use the median as the best measure of central tendency, what measure of spread would you use?
IQR
Range
MAD
Outlier

12. #6 Group A has greater mean: Group A greater variation
MAD
GROUP A
3.5
1.5
GROUP B
4.5 .5
Group A has greater mean: Group A greater variation
Group B has greater mean: Group B greater variation
Group A has greater mean: Group B greater variation
Group B has greater mean: Group A greater variation

13. #7 What are the measures of central tendency?
Mean Mode Median

14. #8 How do you find the mode?
The number(s) that occur the most

15. The average distance between each data value and the mean.
#9 Explain the MAD
The average distance between each data value and the mean.

16. Subtract the mean from each data value
#10 How do you find the MAD?
Find the mean
Subtract the mean from each data value
Find the mean of the new data values

17. #11 How do you find the IQR? Put the data in numerical order.
Find the median.
Find the median of the lower quartile (Q1).
Find the median of the lower quartile (Q3).
Q Q1

18. How many different values must you find for a box and whisker?
#12
How many different values must you find for a box and whisker?

19. What is another name for the “box” in a box plot?
#13
What is another name for the “box” in a box plot?

20. Today’s Goal
Dot Plots
&
Histograms

21. Center it represents: Mode
DOT PLOT
Center it represents: Mode

22. Definition
A data display in which each data item is shown as a dot above a number line
In a dot plot a cluster shows where a group of data points fall.
A gap is an interval where there are no data items.

23. Steps to Create a Dot Plot
Order numbers from least to greatest.
Draw a number line.
Label the number line with the minimum and the maximum then all the numbers that fall between them.
Put a dot above each number on the number line for each data entry in your set.
Don’t forget a title and labels!

24. Display the data in a dot plot.
You try it!
In an airline training program, the students are given a test in which they are given a set of tasks and the time it takes them to complete the tasks is measured. The following is a list of the time (in seconds) for a group of new trainees.
61, 61, 64, 67, 70, 71, 71, 71, 72, 73, 74, 74, 75, 77,
79, 80, 81, 81, 83
Display the data in a dot plot.

25. Airline Training Program Test
Answer!
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

26. Airline Training Program Test
What is the Mode?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
71 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

27. Airline Training Program Test
What is the Range?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
22 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

28. Finding Measures of Central Tendency
Use the dot plot to find the three measures of central tendency for this sample.
There are seven data values, so the fourth data value is the median. Counting in four values from either end, the median is 65 in.
The mean is
The mode is 65 in., the height that occurs most frequently.

29. HISTOGRAM
Center it represents: Mode for a range of numbers

30. Histogram
Histogram is a bar graph that shows the frequency of data within equal intervals.
There is no space in between the bars.

31. Frequency Chart
A Frequency Chart is a table that breaks data down into equal intervals and then counts the amount data in each interval.
A Frequency Chart is often used to sort a list of data to make a Histogram.
Make a Frequency Chart to display the data below:
90, 85, 78, 55, 64, 94, 68, 83, 84, 71, 74, 75, 99, 52, 98, 84, 73, 96, 81, 58, 97, 75, 80, 78
Interval
50-59
60-69
70-79
80-89
90-99
Frequency of Data 3 2 7 6 6

32. Don’t forget little things…like labels and equal intervals!
Creating a Histogram
Don’t forget little things…like labels and equal intervals!
Interval
50-59
60-69
70-79
80-89
90-99
Frequency of Data 3 2 7 6 10
Math Test Scores 8 6
Frequency 4 2
50-59
60-69
70-79
80-89
90-99
Test Scores

33. You Try!

34. Number of hours of TV III 6 II 1 IIII - IIII 7 IIII 2 8 3 9 IIII - I 4
The table below shows the number of hours students watch TV in one week Make a histogram of all the data.
Number of hours of TV
III 6 II 1
IIII - IIII 7
IIII 2 8 3 9
IIII - I 4
IIII - III 5

35. Step 1 Frequency 15 1-3 17 4-6 16 7-9 Number of hours of TV III 6 II 1
Make a frequency table of the data. Be sure to use equal intervals
Frequency
Number of hours of TV 15
1-3 17
4-6 16
7-9
Number of hours of TV
III 6 II 1
IIII - IIII 7
IIII 2 8 3 9
IIII - I 4
IIII - III 5

36. Step 2
Choose an appropriate scale and interval for the vertical axis. The greatest value on the scale should be at least as great as the greatest frequency.
Frequency
Number of hours of TV 15
1-3 17
4-6 16
7-9

37. Step 3
Draw a bar for each interval. The height of the bar is the frequency for that interval. Bars must touch but not overlap.
Label the axes and give the graph title
Frequency
Number of hours of TV 15
1-3 17
4-6 16
7-9