Measures of Center

Measure of Center

Measure of Center

Order the data. For a set with an odd number of values, the median is the middle value. For a set with an even number of values, the median is the mean of the two middle

values.

Median

• Order the data. For a set with an odd number of values,

  the median is the middle value. For a set with an even

  number of values, the median is the mean of the two middle

  values.

Example of Median

5, 8, 9, 12, 14

The Median is 9

2, 3, 5, 7, 10, 11

The Median is 6

Multiple Choice

Find the Median

10, 13, 9, 4, 7, 10, 12, 11

• 4

• 9

• 10

• 11

Multiple Choice

Find the Median

51, 45, 47, 48, 48, 50, 52, 53

• 48

• 49

• 50

• 51

Multiple Choice

Find the Median

82, 68, 54, 100, 78, 92, 74

• 78

• 68

• 74

• 54

Multiple Choice

Find the Median

2.8, 3.6, 3.8, 4.1, 2.8, 3.7, 4.3

• 3.3

• 3.5

• 3.6

• 3.7

Mode

The mode of a data set is the value or values that occur most often. Data can have one mode, more than one mode, or no mode. When all values occur only once, there is no mode.

Mode Example

11, 13, 15, 15, 18, 21, 24, 24

The modes are 15 and 24

Multiple Choice

M, L, K, K, L, L, M, M, M, K, M, M, K, M, K, L

• K

• L

• M

Multiple Choice

red, red, blue, green, green, blue, red, red, blue, blue, red, green

• red

• blue

• green

Outlier

• An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Outlier Example

• 76, 92, 84, 12, 78, 88, 85

• 12 is the outlier because it does not fit in with this data

Multiple Choice

Find the outlier in this set of data.

71, 75, 24, 64, 71, 66, 70

• 71

• 64

• 24

• 66

Fill in the Blank

Find the Outlier in this set of data.

80, 95, 157, 95, 80, 75, 95, 75

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the Mode of the above data?

• 29

• 31

• 34

• 36

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the Median without the outlier?

• 32

• 33

• 34

• 36

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the Median with the outlier?

• 29

• 30

• 31

• 32

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the mode of the data without the outlier?

• 36

• 34

• 29

• 5

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the mode of the data with the outlier?

• 36

• 34

• 26

• 5

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the mean of the data without the outlier?

• 29

• 31

• 32

• 33

Multiple Choice

Seven students complete 29, 31, 32, 5, 34, 36, and 36 math problems in a math competition. Find the mean, median, and mode of the data with and without the outlier.

What is the mean of the data with the outlier?

• 29

• 30

• 31

• 32