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## Welcome to IRSC

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### Welcome to IRSC s LIVE Virtual Lesson on: Mean, Median, Mode, and Range. Instructor: Mrs. DiMartino – PowerPoint PPT presentation

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Title: Welcome to IRSC

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Welcome to IRSCs LIVE Virtual Lesson on
• Mean, Median, Mode, and Range
• Instructor Mrs. DiMartino

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How to participate in this session
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What you will learn today
• How to define and compute
• a) the mean
• b) the median
• c) the mode
• d) the range of a set of data.

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Why learn these skills?
• We use statistics such as the mean, median, mode,
and range to obtain information about a
population (group) from our sample set of
observed values (data).

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Mean
• The mean is the average of a set of numbers.
•

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How to find the mean?
• Add up all the numbers.
• 2. Then, divide by how many numbers there are.
• In other words, it is the sum divided by the
count.

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Example 1 Finding the Mean
• What is the mean of these numbers?
• 6, 11, 7
• Add the numbers
• 6 11 7 24
• Divide by how many numbers there are (3)
• 24 / 3 8
• The Mean is 8

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Example 2 Finding the Mean
• What is the mean of these numbers?
• 94, 88, 100, 65, 89, 70
• Add the numbers
• 94 88 100 65 89
70 506
• 2. Divide by how many numbers there are (6)
• 506 / 6 84.3
• The mean is 84.3

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Example 3 Finding the Mean
• What is the mean of these numbers?
• 24.00, 16.00, 18.00, 34.00
• 1. Add the numbers.
• 24.00 16.00 18.00 34.00 92.00
• 2. Divide the total by how many there are.
• 92.00/4 23.00
• The mean is 23

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Median
• The median is the
• "middle number"
• in a list of numbers that have been sorted by
value.

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How to find the median?
• 1. Place the numbers you are given in value
order.
• 2. Find the middle number.

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Example 1 Finding the Median
• Find the median of
• 6, 3, 7, 9, 4
• Place the numbers you are given in value order.
3, 4, 6, 7, 9
• Find the middle number.
• 3, 4, 6, 7, 9
• The median is 6

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Example 2 Finding the median
• Find the median of
• 12, 2, 6, 9, 7, 8
• Place the numbers you are given in value order.
2, 6, 7, 8, 9, 12
• Find the middle number.
• 2, 6, 7, 8, 9,
12
• Wait a minute! There isnt a middle
number!!!

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Median (Ex2 continued)
• When there are two numbers in the middle
• Locate the two middle numbers. (7 and 8)
• Add them together. 8 7 15
• Divide that number by 2. 15 / 2 7 ½
• The median is 7 ½

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Example 3 Finding the Median
• Find the median of
• 4, 9, 5, 13, 7
• Place the numbers you are given in value order.
4, 5, 7, 9, 13
• Find the middle number.
• 4, 5, 7, 9, 13
• The median is 7

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Mode
• The mode is simply
• the number that
• appears
• most often.

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How to Find the Mode?
• First, put the numbers in order.
• Then count how many there are of each number.
• Find the most frequently occurring number.

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Example 1 Finding the Mode
• Find the mode of these numbers
• 3, 6, 7, 8, 7, 3, 2, 7, 9
• First, put the numbers in order.
• 2, 3, 3, 6, 7, 7, 7,
8, 9
• Then count how many there are of each number.
Which number occurred most frequently? 2, 3,
3, 6, 7, 7, 7, 8, 9
• The mode is 7

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Example 2 Finding the Mode(when there is more
than 1 mode)
• Find the mode of these numbers
• 3, 3, 2, 3, 6, 4, 8, 6, 6, 4
• First, put the numbers in order.
• 2, 3, 3, 3, 4, 4, 6, 6,
6, 8
• Then count how many there are of each number.
Which number occurred most frequently?
2, 3, 3,
3, 4, 4, 6, 6, 6, 8
• The modes are 3 and 6

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Example 3 Finding the Mode
• Find the mode of these numbers
• 12, 9, 11, 6, 4, 3, 12, 8, 9, 12
• First, put the numbers in order.
• 3, 4, 6, 8, 9, 9, 11,
12, 12, 12
• Then count how many there are of each number.
Which number occurred most frequently?
• 3, 4, 6, 8, 9, 9, 11,
12, 12, 12
• The mode is 12

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Range
• The "range" is the
• difference between
• the largest and smallest values (numbers)
• of a set.

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How to find the range?
• First, put the numbers in order.
• Locate the largest number and the smallest
number.
• Then subtract them to find the range.

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Example 1 Finding the Range
• Find the range of this set of numbers
• 4, 2, 6, 9, 7, 15, 3, 5, 6
• First, put the numbers in order.
• 2, 3, 4, 5, 6, 6, 9,
7, 15
• 2. Locate the largest number and the smallest
number. 15 and 2
• 3. Then subtract them to find the range. 15-2
13

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Example 2 Finding the range
• Find the range of this set of numbers
• 22, 16, 17, 8, 12
• First, put the numbers in order.
• 8, 12, 16, 17,
22
• 2. Locate the largest number and the smallest
number. 22 and 8
• 3. Then subtract them to find the range. 22-8
14

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Example 3 Finding the Range
• Find the range of this set of numbers
• 1, 3, 9, 4, 20, 6
• First, put the numbers in order.
• 1, 3, 4, 6, 9,
20
• 2. Locate the largest number and the smallest
number. 20 and 1
• 3. Then subtract them to find the range. 20-1
19

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Word Problem Practice
• A marathon race was completed by 5 runners.
What is the range of times given in hours below?

• 2.7 hr,  8.3 hr,  3.5 hr,  5.1
hr,  4.9 hr
• Solution
• 1. Order the data from least to greatest.
• 2.7,  3.5,  4.9,
5.1,  8.3
• 2. Subtract the highest and lowest.
• 8.3 hr - 2.7 hr 5.6
hr
• Answer   The range of times is 5.6 hrs.

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Word Problem Practice
• On a frigid, winter day in February, the
temperature for 8 cities in Maine was recorded.
What is the mode of these temperatures?
• -8,  0,  -3,  4,  12,  0,
-1,  0
• Solution
• 1. Order the data from least to greatest.
•   -8,  -3,  -1,  0,  0,  0,
4,  12
• Count how many there are of each number. Then,
find the most frequently occurring number.
• -8,  -3,  -1,  0,  0,  0,
4,  12
• Answer   The mode of these temperatures is 0.

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Word Problem Practice
• In the first 9 weeks of school, Sarahs test
scores in math were 94, 88, 89, 78, and
100. What is her test average (mean)?
• Solution
• Order the data from least to greatest.
• 78, 88, 89, 94, and
100
• Add the numbers.
• 78 88 89 94 100
449
• Divide the total by how many there are (5).
• 449 / 5 89.8   Answer
The mean is 89.8

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Word Problem Practice
• Jimmy's phone calls lasted 20 min., 7 min.,
9 min., 12 min., and 8 min. He took data to show
how long his phone calls typically were. Find the
median value of his set of data.
• Solution
• Order the data from least to greatest.
• 7 min., 8min., 9 min., 12
min., and, 20 min.
• 2. Find the middle number.
• 7 min., 8min., 9 min., 12
min., and, 20 min.
• The median is 9 min.

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Any Questions?
• Type your questions in the chat
• window please for whiteboard practice.

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Print your participant Window.
• Why? To email to your instructor as proof of
attendance. To get 1 hour of credit towards your
10 hours this week.
• How? Place your cursor and left click your mouse
on the participant window. On your keyboard, hold
down the SHIFT and PRINT SCREEN keys. Then open a
Word document and paste (Ctrl V). Last, attach
your word document to an email and send it to

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• This session has been recorded for you to play
back and view at any time.
• If you have any questions regarding this topic at
a later time, dont hesitate to contact your
instructor.
• Dont forget to use the Smarthinking tutor
feature within your class site. A tutor is
available to you 24 hours a day.

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Thank you for coming!
• I hope you will take advantage of our future
LIVE virtual lessons and will attend some of
those sessions as well.
• Have a great day!