When summarizing a data set, we often want to produce a single number that best represents all numbers in the data set. One way to do this is to find the mean of the data set. The mean can be considered the "center" of the data set.
To compute the mean, we add all the data points and divide the sum by the number of data points.
To demonstrate, let's compute the mean of the data set below:
First, we add up all the data points:
Then, we divide by the number of data points. Since there are data points, we have
Therefore, the mean of the data set is
What is the mean of the following data set?
First, notice that our data set contains numbers.
Now, let's add all the numbers together:
Finally, we divide the sum by the number of data points:
Therefore, the mean of the data set is
What is the mean of the following data set? \[ 9, \: 4, \: 3, \: 9, \: 12, \: 5, \: 6, \: 8 \]
|
a
|
$7$ |
|
b
|
$8.5$ |
|
c
|
$9$ |
|
d
|
$8$ |
|
e
|
$6.3$ |
What is the mean of the following data set? \[ 5, \: 8, \: 11, \: 10, \: 12 \]
|
a
|
$10$ |
|
b
|
$9.2$ |
|
c
|
$9$ |
|
d
|
$10.5$ |
|
e
|
$9.5$ |
A student obtained the following grades on her last chemistry quizzes:
What was the student's mean score?
First, notice that our data set contains numbers.
Now, let's add all the numbers together:
Finally, we divide the sum by the number of data points:
Therefore, the student's mean score is
A student got the following grades on their last $5$ math quizzes:
\[ 6, \: 8, \: 9, \: 9, \: 8 \] What is the student's mean score?
|
a
|
$5$ |
|
b
|
$7$ |
|
c
|
$8$ |
|
d
|
$9$ |
|
e
|
$6$ |
In their last $6$ games, the New York Yankees scored the following number of home runs: \[ 5, \: 6, \: 4, \: 7, \: 11, \:6 \] What is the mean number of runs scored by the Yankees?
|
a
|
$6.3$ |
|
b
|
$7$ |
|
c
|
$6$ |
|
d
|
$6.5$ |
|
e
|
$7.5$ |