Download Vocabulary

Mean, Median, Mode, & Range
Lesson 3-1
Pg. # 88-90
CA Content Standards
Statistics, Data Analysis, and Probability 1.1:
I can compute the range, mean, median, and mode of
data sets.
Statistics, Data Analysis, and Probability 1.4:
I know why a specific measure of central tendency
(mean, median, mode) provides the most useful
information in a given situation.
Math Reasoning 1.0:
I make decisions about how to approach problems.
Vocabulary:
MEASURES OF CENTRAL
TENDENCY
 Measuring tools (such as mean, median,
and mode) that show what is typical or
common in a set of data.
Vocabulary: MEAN
 The sum (+) of all the items in a data set
divided by the number of items.
 AKA the Average
Vocabulary:
MEDIAN
 The middle number when data are
arranged in order from least to greatest.
 AKA the Middle Number
Vocabulary:
MODE
 The number or numbers that occur most
often in a set of data.
 AKA the Most Popular Number
Vocabulary:
RANGE
 The difference (-) between the greatest
and least numbers in a set of data.
Objective
Compute the mean, median, mode,
and range of sets of data.
Math Link: You know how to order,
add, subtract, and divide whole
numbers and decimals. Now you will
learn how to use these skills to find the
mean, median, mode, and range of a
set of data.
Example 1.
This table shows the number of hours of math
homework 7 of my students do per night.
Number of Hours of Homework: 7 Students
Student
A
B
C
D
E
F
G
No. of
Hours
1
4
3
5
4
2
2
Find the mean, median, mode, and range of this
data.
To find the mean:
Add all the values together:
1 + 4 + 3 + 5 + 4 + 2 + 2 = 21
 And divide by the number of students (values
you added together):
21/ 7 = 3
This calculation shows us that Miss Flores’
students spend an average of 3 hours doing
math homework each night.
To find the median:
 Arrange the values in the table from least to greatest:
1
2
2
3
4
4
5
 And find the middle number (if the set has an odd
number of values)…
3
 This calculation shows us that Miss Flores’ students
spend an average of 3 hours doing math homework
each night.
To find the mode:
Look for the number that repeats most often:
1
2
2
3
4
4
5
Sometimes there is no mode or there may be
more than one mode. In this case, both 2 and
4 repeat twice, so they are our modes.
To find the range:
 The range can tell you if the data are spread far apart
or clustered. To find the range, identify the smallest
and largest value.
1
2
2
3
4
4
5
 Subtract the least number from the greatest number.
5-1=4
 A small range shows us that all the values are pretty
close together. This must mean that most students
spend about the same amount of time doing
homework every night.
The Moral of the Story:
Mean, median, and mode are all
statistical measures of the typical value
or central tendency of a group. The
range describes how closely the data
are clustered together.
Whateverville’s Temp.- One Week
Day
Temperature (°C)
Sunday
50
Monday
62
Tuesday
90
Wednesday
106
Thursday
10
Friday
50
Saturday
0
Whateverville’s Temp.- Ten More Days
Day
Temperature (°C)
Sunday
48
Monday
45
Tuesday
63
Wednesday
51
Thursday
101
Friday
69
Saturday
55
Sunday
62
Monday
53
Tuesday
57