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

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

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

CW Grades

HW Hand in!

Whiteboard Review

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

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

#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

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

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

#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

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

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

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

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

#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). Q3 - Q1

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?

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

Today’s Goal Dot Plots & Histograms

Center it represents: Mode DOT PLOT Center it represents: Mode

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.

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!

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.

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

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

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

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.

HISTOGRAM Center it represents: Mode for a range of numbers

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

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

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 90-99 100-109 Test Scores

You Try!

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

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

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

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