1. Measures of Central Tendency
Measures of Central Tendency (MAT 142)
Measures of Central Tendency

2. Measures of Central Tendency (MAT 142)
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. Measures of Central Tendency (MAT 142)
Vocabulary
central tendency
summation notation
mean
median
mode
outlier

4. Measures of Central Tendency (MAT 142)
Formulas
mean of ungrouped data
mean of grouped data

5. Measures of Central Tendency (MAT 142)
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. Year
TDs
1961 18
1970 19
1962 22
1971 11
1963 15
1972
1964
1973
1965
1974 17
1966
1975 25
1967 29
1976
1968 21
1977 9
1969 23
1978

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. Miles run
per week
Number
of weeks 5 1 4 2 10 3 9 7 6

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. Measures of Central Tendency (MAT 142)
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?