Measures of Center and Shapes of Distribution

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease
• The median will decrease
• The mean will increase
• The median will increase

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

• 7
• 23
• 31
• 34

What measure of center is best to use when we have outliers?

• mean

• median

• mode

• range

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

• Median: 54

  First Quartile: 49

  Third Quartile: 67

  IQR: 18

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 21

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 22

• Median: 54

  First Quartile: 49

  Third Quartile: 69

  IQR: 20

Quartiles break the data set into _____ equal parts each representing 25% of the data.

• 1

• 2

• 3

• 4

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

What is the percentile rank of 74 in the following group of 15 data values? 35, 65, 68, 100, 23, 69, 74, 70, 61, 90, 85, 55, 30, 65, 80

• 73rd

• 90th

• 75th

• 27th

Which of these could be a cumulative frequency graph?

• 
• 

Find the cumulative frequencies.

• 28, 56, 84, 100

• 28, 58, 70, 72, 74, 76

• 33%, 37%, 20%, 7%, 7%, 7%

• 28, 30, 12, 2, 2, 2