MAT 142 Lecture Video Series

Measures of Central Tendency

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.

Vocabulary central tendency summation notation mean median mode outlier

Formulas mean of ungrouped data (here x is the data point) mean of grouped data (here x is the midpoint of a group)

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

YearTDsYearTDs

Tom Ball, 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 Tom ran.

Miles run per week Number of weeks

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?

AgeNumber of Women 15 ≤ x  20442, ≤ x  251,081, ≤ x  301,812, ≤ x  35950, ≤ x  40499, ≤ x  45105, ≤ x  507,000 The ages of the women who gave birth in the United States in 2006 are given in the table below. Find the mean age of these women.

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?

Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University