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Tuesday, February 18 thPowerPoint Presentation

Tuesday, February 18 th

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**beryl** - Follow User

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Grades

Hand in!

Review

#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
- 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

#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?

- 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

#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?

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!

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.

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

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

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 Make a Frequency Chart to display the data below:

- 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.

90, 85, 78, 55, 64, 94, 68, 83, 84, 71, 74, 75, 99, 52, 98, 84, 73, 96, 81, 58, 97, 75, 80, 78

6

7

2

3

6

Creating a Histogram

Don’t forget little things…like labels and equal intervals!

10

Math Test Scores

8

6

Frequency

4

2

90-99

80-89

50-59

70-79

60-69

100-109

Test Scores

The table below shows the number of hours students watch TV in one week Make a histogram of all the data.

Step 1 in one week Make a histogram of all the data.

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

Step 2 in one week Make a histogram of all the data.

- 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.

Step 3 in one week Make a histogram of all the data.

- 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

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