Tuesday, February 18th

1. What is the range of the upper 75%?

2. What number represents Q1

EOCT WEEK 5-#2

What class has the highest pulse rates?

A. Class 1 B. Class 2 C. Class 3 D. Class 4

REMINDER Friday: Test #2-Statistics

Part 1

All absent/missing work is due THURSDAY!!!

CW Grades

HWHand in!

Whiteboard Review

#1Which is NOT a measure of central tendency?

a. Meanb. Modec. MADd. Median

#2Which is NOT a measure of spread?

a. IQRb. Outlierc. MADd. Range

#3When do you use the median for the BEST measure of central tendency?a. When you want the average of the datab. When you want the data value that

occurred the mostc. When there is an outlier in the data setd. None of the above

#4If you use the mean as the best measure of central tendency, what measure of spread would you use?a. IQRb. Medianc. MADd. Outlier

#5If you use the median as the best measure of central tendency, what measure of spread would you use?a. IQRb. Rangec. MADd. Outlier

#6

a. Group A has greater mean: Group A greater variation

b. Group B has greater mean: Group B greater variation

c. Group A has greater mean: Group B greater variation

d. Group B has greater mean: Group A greater variation

MEAN MADGROUP A 3.5 1.5GROUP B 4.5 .5

#7 WHAT ARE THE MEASURES OF CENTRAL TENDENCY?

MeanMode Median

#8 HOW DO YOU FIND THE MODE?

The number(s) that occur the most

#9 EXPLAIN THE MAD

The average distance between each data value

and the mean.

#10 HOW DO YOU FIND THE MAD?

1.Find the mean2.Subtract the mean from

each data value3.Find the mean of the

new data values

#11 HOW DO YOU FIND THE IQR?1. Put the data in numerical order.

2. Find the median.3. Find the median of the lower quartile (Q1).4. Find the median of the lower quartile (Q3).

5. Q3 - Q1

#12

How many different values must you find

for a box and whisker?

#13

What is another name for the “box”

in a box plot?

TODAY’S GOALDot Plots

&Histograms

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 PLOT1. Order numbers from least to greatest.2. Draw a number line.3. Label the number line with the minimum

and the maximum then all the numbers that fall between them.

4. Put a dot above each number on the number line for each data entry in your set.

5. Don’t forget a title and labels!

YOU TRY IT! A. 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.

ANSWER!Airline Training Program Test

New Trainees = 1 person

Time in Seconds61

83

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

WHAT IS THE MODE? Airline Training Program Test

New Trainees = 1 person

Time in Seconds61

83

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

71 seconds

WHAT IS THE RANGE? Airline Training Program Test

New Trainees = 1 person

Time in Seconds61

83

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

22 seconds

Use the dot plot to find the three measures of central tendency for this sample.

FINDING MEASURES OF CENTRAL TENDENCY

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

HISTOGRAMHistogram 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, 78Interval 50-59 60-69 70-79 80-89 90-99

Frequency of Data 3 2 7 6 6

CREATING A HISTOGRAMInterval 50-59 60-69 70-79 80-89 90-99

Frequency of Data 3 2 7 6 6

Test Scores

Freq

uenc

y

Math Test Scores

50-59 60-69 70-79 80-89 90-99 100-109

2

4

6

8

10

Don’t forget little things…like labels and

equal intervals!

You Try!

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

III 8 IIII - IIII 3

IIII 9 IIII - I 4

IIII - III 5

STEP 1 Make a

frequency table of the data. Be sure to use equal intervals

Number of hours of TVIII 6 II 1IIII - IIII 7 IIII 2III 8 IIII - IIII 3IIII 9 IIII - I 4

IIII - III 5

Frequency Number of hours of TV

15 1-317 4-616 7-9

STEP 2

Frequency Number of hours of TV

15 1-317 4-616 7-9

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.

0

4

8

12

16

20

1-3 4-6 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

Hours of Television Watched

0

4

8

12

16

20

1-3 4-6 7-9Hours

Num

ber o

f stu

dent

s

Frequency Number of hours of TV

15 1-317 4-616 7-9