POGIL Lab Module: Statistics

Mean, Median, & Mode


OBJECTIVE: Calculating the Mean, Median and Mode by using a simple experiment.

Introduction

There are 3 main measures of central tendency: the mean, the median, and the mode.

MEAN
The mean of a collection of numbers is their arithmetic average, computed by adding them up and dividing by their number.

MEDIAN
The median is the midpoint in a collection of numbers; half the data values are above the median, and half are below.

MODE
The mode is the most frequently occurring value in a collection of numbers.


Let's calculate mean, median and mode in the following experiment.

There are 9 students in Mrs. Green's class.

Mrs. Green wants to know the average or mean time it takes them to divide a deck of 52 cards into 2 equal piles each containing 26 cards, regardless of color or suit. Let us calculate this with her. She will use a stopwatch to time the students.



Answer the following questions in the boxes provided. After you complete each answer, click the "Check Answer" button for feedback.


1. What would be the average or mean time it took the students to deal a deck of 52 cards into two piles?


Give a try!

2. What would be the median?

Drag the scores in descending order to find the median:




Highest score
Second to highest
Third to highest
Fourth to highest
Middle score
Fourth to lowest
Third to lowest
Second to lowest
Lowest




3. What would be the mode?


Give a try!