Measures of Central Tendency

1
Measures of Central Tendency
2
Objectives

• Calculate the mean of a set of data.
• Calculate the median of a set of data.
• Calculate the mode of a set of data.

3
Vocabulary

• central tendency
• summation notation
• mean
• median
• mode
• outlier

4
Formulas
mean of ungrouped data
mean of grouped data
5
Fran Tarkenton holds the all-time record in
professional football for throwing touchdown
passes. The number of touchdown passes (TDs) for
each of his seasons is given in the table. Find
the mean, median, and mode of the number of
touchdown passes per year thrown by Tarkenton
6
(No Transcript)
7
Todd Booth, an avid jogger, kept detailed records
of the number of miles he ran per week during the
past year. The frequency distribution summarizes
his records. Find the mean, median, and mode of
the number of miles per week that Todd ran.
8
(No Transcript)
9
If your scores on the first four exams in a class
are 73, 67, 83, and 81, what score do you need on
the next exam for your overall mean to be at
least 70?
10
The mean salary of ten employees is 28,000, and
the median is 25,000. The highest paid employee
gets a 5,000 raise. a. What is the new mean
salary of the ten employees? b. What is the new
median salary of the ten employees?