FAMILY FUN NIGHT
Anilu Mendiola | Math 115 | Final Project

Learning objectives
• Find the median, mode, mean, range, and midrange of a set of data.
• Learn how to find and use the Five Number Summary of a data set.
• Construct and understand Box-and-Whisker Plots

What is Mean, Median, Mode, Range &
Midrange?
• Mean : Used to calculate the average. It is found by adding up all the values
in a set of data, then dividing that total by the number of values there were in
the data set.
• Median:The median is the middle number of a set of values
• Mode:The mode is the most common number in a data set.
• Range:The range is the difference (subtraction) between the largest
number and smallest number of a data set.
• Midrange:The average of the largest and smallest data points.To find the
midrange, add together the least and greatest values and divide by two.

Playing Cards Challenge
Let’s use these deck of cards as our example:
• Step 1:We must sort them in order from least
to greatest.Which I have already done-
3,3,4,6,6,7,8
• Step 2: Find the mean-find the sum of the 7
cards and divide the result by 7 (the total by
the number of values)
3+3+4+6+6+7+8
7
=
37
7
= 5.2
• Step 3: Find the Median- flip over the cards
over until you reach the middle number of a
set of values. 6 is our Median (middle value)
• Step 4: Find the mode- the most
common value in a data set (if there is
one) In this case we have two modes.
3 & 6
• Step 5: Find the Range- find the
difference between the highest and
lowest value. In this case 8-3= 5
• Step 6: Find the Midrange- Add the
highest and lowest value and divide
by two.
8+3
2
=
11
2
= 𝟓. 𝟓

Card Challenge Station
Get your cards and partner!
Now it’s time for you to practice!
• Start by getting a partner and each one draw 7 cards
from the deck and sort them in order from least to
greatest- A’s will equal to 1 (Remove Jokers, Q, K and
J from the deck)
• Practice finding the Mean, Median, Mode, Range and
Midrange
• Remember to use the previous example and follow
the steps. Use this format to write down your data
Data: _________________________
Mean: _____ Median: ______ Mode: ______ Range:
_______ Midrange: _____
Practice! Practice!

The Five Number Summary & Box-and
Whisker Plot
• The Five Number Summary gives a way to describe a distribution using only 5
numbers. (Minimum, 1st Quartile, 2nd Quartile (Median), 3rd Quartile, and
Maximum)
• Box-and-Whisker plot gives a visual representation of the Five Number Summary
• Box &Whisker Plot shows how your data is spread out and it’s also useful because
it shows outliers within a dataset.
• Using the 1.5*IQR Rule you can determine if your data has any outliers

Football Team Weight-In
Five Number Summary for FootballTeamWeight
130, 139, 140,146, 154, 154, 154, 155, 180, 192, 192
• Minimum is the smallest number in the data set:
130
• 1st Quartile: Is the median of the bottom half: 140
• 2nd Quartiles (Median): is the middle data value: 154
• 3rd Quartile: Is the median of the larger half : 180
• Maximum is the largest number in the data set: 192
• The football season has began and the coach has
started weighing his team this is the data that
the coach collected from 11 players.
The Data: 154 lbs., 139 lbs., 154 lbs., 192 lbs., 180
lbs., 192 lbs., 140 lbs., 155 lbs., 154lbs., 130 lbs.,
146 lbs.
Let’s practice our knowledge and find the Mean:
158 Median: 154 Mode: 154 & 192 Range: 62
Midrange: 161
Data: 130, 139, 140,146, 154, 154, 154, 155, 180,
192, 192,

Five Number Summary Data:
130, 139, 140,146, 154, 154, 154, 155, 180, 192, 192
• Find the minimum and maximum values
• Minimum: 130 Maximum : 192
• Calculate the first quartile (Q1), Median and third
quartile (Q3)
• Draw a line between the minimum and the
maximum
• Draw a box between Q1 and Q3
• Mark the median in the box
154- Median
130- Minimum
192- Maximum
140- Q1
180- Q3
How to create a
Box-and Whisker Plot

Team Group Station
Now it’s time for you to practice!
• Start by getting a scale and your group of 4-5 . Each
one will weight themselves and gather the data.Then
you will each be responsible of creating your groups
Box-and-Whiskers plot and finding the following data:
• Student 1:
• Student 2:
• Student 3:
• Student 4:
• Student 5:
Data: _________________________
Mean: _____ Median: ______ Mode: ______ Range:
_______ Midrange: _____
Write the five number summary of
your group data:
Minimum: _____Q1: ______ Q2:
____
Q3: _____ Maximum: ______
Make box-and-whisker plot for the
given data.

Mini Quiz Exit Slip
answer the questions and show your work
Mini Quiz:
Question 1
Find the Mean, Median Mode, Range and
Midrange of the given data
83, 93, 77, 33, 62, 28, 23
Mean: _____ Median: ______ Mode: ______
Range: _______ Midrange: _____
Question 2
Write the five number summary of the set data:
72, 60, 64,75,79,63,70,61,78
Minimum: _____Q1: ______ Q2: ____
Q3: _____ Maximum: ______
Question 3
Make box-and-whisker plot for the given data.
58, 67, 44, 72, 51, 42, 60, 46, 69
Minimum: _____Q1: ______ Q2: ____
Q3: _____ Maximum: ______

Answer Key
Question 1
Find the Mean, Median Mode, Range and
Variant of the given data
83, 93, 77, 33, 62, 28, 23
Mean: 52 Median: 62 Mode: none Range: 70
Midrange: 60.5
Question 2
Write the five number summary of the set data:
72, 60, 64,75,79,63,70,61,78
Minimum: 60 Q1: 62 Q2: 70 Q3: 76.5
Maximum: 79
Question 3
Make box-and-whisker plot for the given
data.
58, 67, 44, 72, 51, 42, 60, 46, 69
Minimum: 42 Q1:45 Q2:58 Q3:68
Maximum: 72