When collecting data, we sometimes find values that are much larger or much smaller than all the other values in the data set. We call these values outliers.
For example, consider the following data set, which records the heights (in feet) of a group of saplings:
Let's begin by writing our data set in ascending order:
In this data set, the value is an outlier because it is much smaller than all other values.
What is the outlier of the data set given below?
An outlier is a value that is either much larger or much smaller than all other values of a data set.
Let's begin by writing our data set in ascending order:
In the given data set, the value is much larger than all other values. So, is an outlier.
What is the outlier of the data set given below? \[ 12, \quad 5, \quad 9, \quad 6, \quad 79, \quad 11 \]
|
a
|
$12$ |
|
b
|
$11$ |
|
c
|
$6$ |
|
d
|
$5$ |
|
e
|
$79$ |
A music enthusiast recorded the duration, in minutes, of all of the albums that he bought last year. He collected the following data: \[ 45, \quad 42, \quad 45, \quad 2, \quad 52, \quad 50, \quad 47, \quad 52 \] What is the outlier of this data set?
|
a
|
$50$ |
|
b
|
$42$ |
|
c
|
$47$ |
|
d
|
$52$ |
|
e
|
$2$ |
What are the outliers of the data set given below?
An outlier is a value that is either much larger or much smaller than all other values of a data set.
Let's begin by writing our data set in ascending order.
In the given data set, the value is much smaller than all of the other values, and the value is much larger than all other values. So, and are outliers.
What are the outliers of the data set given below? \[ 16, \quad 284, \quad 3, \quad 9, \quad 492, \quad 16, \quad 12, \quad 11, \quad 7, \quad 20 \]
|
a
|
$492$ only |
|
b
|
$20$ only |
|
c
|
$284$ and $492$ only |
|
d
|
$3$ and $7$ only |
|
e
|
$3$ only |
A movie critic recorded how many movies she watched per month last year. She obtained the following data: \[ 1, \quad 14, \quad 17, \quad 19, \quad 13, \quad 15, \quad 15, \quad 16, \quad 16, \quad 17, \quad 17, \quad 101 \] What are the outliers of this data set?
|
a
|
$15$ and $101$ only |
|
b
|
$15$ only |
|
c
|
$1$ and $101$ only |
|
d
|
$1$ only |
|
e
|
$14$ only |