The following is a list of
5
measurements.
18
,
5
,
11
,
8
,
6
Send data to calculator
Suppose that these
5
measurements are respectively labeled
x1
,
x2
,
…
,
x5
. Compute the following.
Σ=i15xi
To compute the sum of the measurements, Σ(xi), we sum up all the values provided:
Σ(xi) = 18 + 5 + 11 + 8 + 6 = 48
The following is a list of
5
measurements.
5
,
17
,
13
,
17
,
6
Send data to calculator
Suppose that these
5
measurements are respectively labeled
x1
,
x2
,
…
,
x5
. Compute the following.
Σ=i15xi2
To compute the sum of the squared measurements, Σ(xi^2), we square each measurement and then sum up the squared values:
Σ(xi^2) = (5^2) + (17^2) + (13^2) + (17^2) + (6^2)
= 25 + 289 + 169 + 289 + 36
= 808
The following is a list of
5
measurements.
6
,
13
,
10
,
19
,
10
Send data to calculator
Suppose that these
5
measurements are respectively labeled
x1
,
x2
,
…
,
x5
. Compute the following.
Σ=i15xi
To compute the sum of the measurements, Σ(xi), we sum up all the values provided:
Σ(xi) = 6 + 13 + 10 + 19 + 10 = 58
Here are the numbers of children in 16 elementary school classes.
20
,
17
,
18
,
19
,
16
,
17
,
17
,
20
,
18
,
16
,
18
,
20
,
17
,
20
,
19
,
18
Send data to calculator
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
To find the modes of a data set, we look for the values that appear most frequently.
In this case, the modes of the data set {20, 17, 18, 19, 16, 17, 17, 20, 18, 16, 18, 20, 17, 20, 19, 18} are:
17, 18, and 20
These three values appear most frequently in the data set.
The following list gives the number of public libraries in each of 13 cities.
11
,
8
,
7
,
8
,
7
,
11
,
10
,
9
,
9
,
7
,
7
,
8
,
9
Send data to calculator
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
To find the modes of the data set {11, 8, 7, 8, 7, 11, 10, 9, 9, 7, 7, 8, 9}, we need to determine the values that occur most frequently.
In this case, the modes of the data set are:
7 and 8
Both of these values appear most frequently, so they are considered the modes of the data set.
The test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The mean score is
103
and the range of scores is
39
.
Class B: The mean score is
106
and the range of scores is
41
.
Class C: The mean score is
112
and the range of scores is
43
.
Class D: The mean score is
111
and the range of scores is
48
.
(a) Based on the information above, which class has the highest scores on average?
Class A
Class B
Class C
Class D
(b) Based on the information above, which class's scores have the most variability?
Class A
Class B
Class C
Class D
(a) Based on the information provided, Class C has the highest scores on average with a mean score of 112.
(b) Based on the information provided, Class D has the most variability in scores with a range of 48.
The ages of the members of four teams are summarized below. Answer the questions about them.
Team A: The range of ages is
13
and the mean age is
50
.
Team B: The range of ages is
20
and the mean age is
57
.
Team C: The range of ages is
15
and the mean age is
52
.
Team D: The range of ages is
11
and the mean age is
58
.
(a) Based on the information above, which team has the youngest members on average?
Team A
Team B
Team C
Team D
(b) Based on the information above, which team's ages have the most variability?
Team A
Team B
Team C
Team D
(a) Based on the information provided, Team A has the youngest members on average with a mean age of 50.
(b) Based on the information provided, Team B has the most variability in ages with a range of 20.
The salaries of the employees at four companies are summarized below. Answer the questions about them.
Company A: The mean salary is
$24,000
and the range of salaries is
$59,000
.
Company B: The mean salary is
$26,000
and the range of salaries is
$58,000
.
Company C: The mean salary is
$33,000
and the range of salaries is
$51,000
.
Company D: The mean salary is
$29,000
and the range of salaries is
$50,000
.
(a) Based on the information above, which company's salaries have the least variability?
Company A
Company B
Company C
Company D
(b) Based on the information above, which company has the lowest salaries on average?
Company A
Company B
Company C
Company D
(a) Based on the information provided, Company C has the least variability in salaries with a range of $51,000.
(b) Based on the information provided, Company A has the lowest salaries on average with a mean salary of $24,000.