Mean, Median. Mode

Mean, Median, Mode

Objective: Derive and understand the mean, median and mode given a set of data.

​Vocabulary

​Central Tendency: A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.

​

​Example: Your grade for the marking period is a measure of central tendency of ALL your grades together.

Mean

• A measure of the central tendency of a data set

• Also called the average

• Add together all of the numbers, then divide by the number of numbers

​

​Example:

​Find the mean of the following data values: 12, 9, 5, 10, 6, 13, 9, 8

Fill in the Blank

Find the mean of these numbers:
2, 57, 38, 42, 6

Median

• A measure of central tendency

• The middle number in a data set

• Order all of the numbers from least to greatest

• If there is an odd number of numbers, find the middle number

• If there is an even number of numbers, find the mean of the two middle numbers

​Examples

Find the median of the following data values: 13, 11, 2, 13, 3, 14, 7, 5

​

​

​

​Find the median of the following data values: 100, 2, 34, 75, 6, 83, 12

​

Fill in the Blank

What is the median?

5, 22, 81, 16, 15, 22

Fill in the Blank

Find the median of these numbers: 2, 57, 38, 42, 6

Mode

• A measure of central tendency

• Tells us which number occurs most often

• Find the number that repeats the most in the data set

• There can be more than one mode if multiple numbers repeat the same number of times

• There can be no mode if none of the numbers repeat

​

​Example:

​Find the mode of the following data values: 12, 10, 9, 5, 10, 6, 11, 1 3, 9, 8, 12, 9

Fill in the Blank

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.

12, 10, 10, 10, 13, 12, 11, 13, 10

Range

• Tells us how spread out the data is

• Subtract the smallest number from the largest number

​

​Example:

​Find the range of the following data values: 13, 11, 2, 13, 3, 15, 7, 6

Fill in the Blank

Find the Range: 98, 74, 67, 98, 99, 102, 95

Multiple Choice

The mean of a data set is the...

• Middle Number

• Average

• Biggest minus smallest

• Number that appears most ofen

Multiple Choice

The mode of a data set is the...

• Middle Number

• Average

• Biggest minus smallest

• Number that appears most ofen

Multiple Choice

The median of a data set is the...

• Middle Number

• Average

• Biggest minus smallest

• Number that appears most ofen

Multiple Choice

True or False - Before finding the median, you need to order the data from least to greatest.

• True

• False

Multiple Choice

What is the mean of the data set:

0, 0, 0, 5, 15

• 0

• 4

• 5

• 15

Multiple Choice

What is the median of the data set:

0, 0, 0, 5, 15

• 0

• 4

• 5

• 15

Multiple Choice

What is the range of the data set:

0, 0, 0, 5, 15

• 0

• 4

• 5

• 15

Multiple Choice

What is the mode of the data set:

0, 0, 0, 5, 5, 5, 15

• 0

• 5

• 0 AND 5

• There is no mode

Fill in the Blank

What's the average of 0, 7, and 11?

Fill in the Blank

What's the median of the data set:

0, 7, 11

Multiple Choice

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

• 13

• 12

• 11

• 10

Multiple Choice

Find the mean of these numbers:
2, 57, 38, 42, 6

• 29

• 38

• 50

• 145

Multiple Choice

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9

• 8

• 12

• 18

Multiple Choice

Find the Mean of:
8, 14, 32, 6, 15

• 15
• 175
• 75
• 12

Multiple Choice

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

• 9

• 5

• 3

• 7

Multiple Choice

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9
• 8
• 12
• 18

Multiple Choice

The number of miles that Kiki cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Kiki cycled?

• 24

• 36

• 39

• 52

Multiple Choice

Your basketball team plays 5 games. Your team scores 10 points in the first game, 3 points in the second game, 2 points in the third game, 5 points in the fourth game, and 0 points in the fifth game. What was the MEAN number of points your team scored for all 5 games?

• 3 points

• 5 points

• 10 points

• 4 points

Multiple Choice

What is the mode in this set of numbers: 7, 14, 20, 3, 7, 14, 2, 14, 7

• 7

• 20

• 7 & 14

• none of the above

Multiple Choice

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

• 58

• 59

• 60

• 118

Multiple Choice

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1

• 6

• 4.5

• 4

Multiple Choice

Lizzy had test scores of:   72, 94, 108, 60 What is the RANGE of her test scores?

(highest # - lowest #)

• 12

• 72

• 48

• 98

Multiple Choice

Median:
67, 74, 95, 98, 98, 99, 102

• 102
• 67
• 98
• 90.4

Multiple Choice

Find the range of the data set
1.43,1.05,34,56,89,1.1

• 87.9

• 87.57

• 87.95

• 89

Multiple Choice

The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

• 99 was the highest score on the test.
• More students received a 94 than any other score
• No student scored below a 50
• A score of 91 was slightly below average.

Multiple Choice

Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?

• 3

• 7

• 12

• 11

Multiple Choice

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1

• 6

• 4.5

• 4

Multiple Choice

What is the mode?

• # happening the most

• the middle #

Multiple Choice

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1
• 6
• 4.5
• 4

Multiple Choice

Find the median of these numbers:
4,2,7,4,3

• 2
• 5
• 7
• 4

Multiple Choice

Find the mean of these numbers:
2, 57, 38, 42, 6

• 29

• 38

• 50

• 145

Multiple Choice

To find the mean of a set of numbers, add up all the items and divide by...

• 2
• The minimum
• The maximum
• The number of items

Multiple Choice

In order to find the median, the data must be sorted from least to greatest first.

• True
• False

Multiple Choice

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9
• 8
• 12
• 18

Multiple Choice

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

• 2

• 4

• 6

• 2.4

Multiple Choice

Find the median of these numbers:
4,2,7,4,3

• 2
• 5
• 7
• 4

Multiple Choice

Find the mean of these numbers:
2, 57, 38, 42, 6

• 29
• 38
• 50
• 145

Multiple Choice

A data set can have more than one median?

• True
• False

Multiple Choice

Find the mean of these numbers:
2, 57, 38, 42, 6

• 29

• 38

• 50

• 145

Multiple Choice

A data set can have more than one mode

• True
• False

Multiple Choice

To find the ______ you put all the numbers in order from least to greatest and then see which number you have the most of.

• Mean

• Median

• Mode

• Range

Multiple Choice

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

• Mean

• Median

• Mode

• Range

Multiple Choice

Range measures what?

• Center

• Cuteness

• Variability

• Weight

Multiple Choice

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?

• 193

• 127

• 60

• 66

Multiple Choice

Find the median of these numbers:

4, 2, 7, 4, 3

• 2

• 5

• 7

• 4

Multiple Choice

What is the mean?

• the number that occurs the most

• the number in the middle

• the greatest minus the least

• the average

Multiple Choice

What is the median?

• the greatest minus the least

• average

• the middle number

• the number that occurs the most

Multiple Choice

What is the mode?

• the number that occurs the most

• the average

• the greatest minus the least

• the middle number

Multiple Choice

To find the average (mean) of a set of numbers, add up all the items and divide by...

• 2.

• The smallest number

• The largest number

• The number of items in the set.

Multiple Choice

Find the mean:
28, 18, 19, 18, 17

• 20

• 18

• 11

• 19

Multiple Choice

On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99. What was the average (mean) score for these students? _________

• 91

• 273

Multiple Choice

When finding the median, what do you do if there are two middle numbers?

• Add them together and divide by 2

• Write them both as the answer

• Give up

• Pick one

Multiple Choice

What is the mode of this data set?

6, 5, 5, 9, 8, 7, 9

• 9 and 6

• 5

• 9

• 5 and 9