Central Tendencies Including Range and Outliers

Which measure of central tendency is MOST EASILY affected by outliers?

• mean

• median

• mode

• IQR

The dot plot shown below represents the number of pets owned by students in a class. If a student moved in that lived on a farm with 20 pets, how would this change the data

Choose all the statements that are true:

• The median would increase

• The median would stay the same

• The mean would increase

• The data would contain no outliers.

• The standard deviation would stay the same

Find the MEAN, MEDIAN, MODE, and RANGE for the following dataset:

• 5.55

• MEAN

• 5.14

• MEDIAN

• 7.62

• RANGE

• 2.33

• MODE

Find the median, mean and range:  3, 5, 7, 9, 14, 8, 3

• median = 7  

  mean = 7

  range = 11

• median = 9

  mean = 7

  range = 0

• median = 7

  mean = 49

  range = 11

Calculate the range of the dataset: 18, 22, 19, 25, 21.

• 4

• 5

• 6

• 7

Answer explanation

The range of a dataset is calculated by finding the difference between the maximum and minimum values. In this case, the range is 25 - 18 = 7. Therefore, the correct answer is 7.

Kayte took a sample of 50 pieces of data.  She added up all of the pieces of data and then divided by 50.  What measure of center is she working on?

• Mean

• Median

• Mode

• Range

What is the range of the set of data?

• 70

• 65

• 80

• 55

Is the point in red an outlier?

• Yes

• No

Identify any outliers.

• Outlier at x = 18

• Outlier at x = 12

• Outlier at x = 6

• There aren't any outliers in this graph.

Identify any outliers.

• Outlier at x = 10

• Outlier at x = 15

• Outlier at x = 30

• There aren't any outliers in this graph.