(a) To find the median of the data set, we first need to arrange the waiting times in ascending order:
13, 15, 20, 21, 23, 23, 23, 24.
The median is the middle value in the data set. Since there are 8 data points, the median will be the average of the 4th and 5th values: (21 + 23) / 2 = 22.
Therefore, the median of this data set is 22.
(b) To find the mean of the data set, we add up all the waiting times and divide by the number of data points:
(13 + 15 + 20 + 21 + 23 + 23 + 23 + 24) / 8 = 162 / 8 = 20.25.
Therefore, the mean of this data set is 20.25.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, there is no value that appears more than once.
Therefore, the data set has zero modes.
Customers waiting at Ellerton Bank have been complaining about the amount of time they must wait in line. Managers at the bank, beginning to investigate the problem, have recorded sample waiting times for
8
customers at the bank. Here are the
8
waiting times (in minutes).
23
,
15
,
13
,
20
,
23
,
21
,
24
,
23
Send data to calculator
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
9 answers
Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by
10
adults.
25
,
18
,
16
,
12
,
17
,
23
,
20
,
13
,
13
,
19
Send data to calculator
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
10
adults.
25
,
18
,
16
,
12
,
17
,
23
,
20
,
13
,
13
,
19
Send data to calculator
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
(a) To find the mean of the data set, we add up all the numbers of animals listed and divide by the number of adults:
(25 + 18 + 16 + 12 + 17 + 23 + 20 + 13 + 13 + 19) / 10 = 176 / 10 = 17.6.
Therefore, the mean of this data set is 17.6.
(b) To find the median of the data set, we first need to arrange the numbers in ascending order:
12, 13, 13, 16, 17, 18, 19, 20, 23, 25.
The median is the middle value in the data set. Since there are 10 data points, the median will be the average of the 5th and 6th values: (17 + 18) / 2 = 17.5.
Therefore, the median of this data set is 17.5.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the value 13 appears twice, which is more than any other value.
Therefore, the data set has one mode, which is 13.
(25 + 18 + 16 + 12 + 17 + 23 + 20 + 13 + 13 + 19) / 10 = 176 / 10 = 17.6.
Therefore, the mean of this data set is 17.6.
(b) To find the median of the data set, we first need to arrange the numbers in ascending order:
12, 13, 13, 16, 17, 18, 19, 20, 23, 25.
The median is the middle value in the data set. Since there are 10 data points, the median will be the average of the 5th and 6th values: (17 + 18) / 2 = 17.5.
Therefore, the median of this data set is 17.5.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the value 13 appears twice, which is more than any other value.
Therefore, the data set has one mode, which is 13.
Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by
9
adults.
22
,
21
,
11
,
24
,
23
,
10
,
17
,
20
,
25
Send data to calculator
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
9
adults.
22
,
21
,
11
,
24
,
23
,
10
,
17
,
20
,
25
Send data to calculator
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
(a) To find the median of the data set, we first need to arrange the numbers in ascending order:
10, 11, 17, 20, 21, 22, 23, 24, 25.
The median is the middle value in the data set. Since there are 9 data points, the median will be the value in the 5th position, which is 21.
Therefore, the median of this data set is 21.
(b) To find the mean of the data set, we add up all the numbers of animals listed and divide by the number of adults:
(22 + 21 + 11 + 24 + 23 + 10 + 17 + 20 + 25) / 9 = 173 / 9 = 19.2.
Therefore, the mean of this data set is 19.2.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, there are no values that appear more than once.
Therefore, the data set has zero modes.
10, 11, 17, 20, 21, 22, 23, 24, 25.
The median is the middle value in the data set. Since there are 9 data points, the median will be the value in the 5th position, which is 21.
Therefore, the median of this data set is 21.
(b) To find the mean of the data set, we add up all the numbers of animals listed and divide by the number of adults:
(22 + 21 + 11 + 24 + 23 + 10 + 17 + 20 + 25) / 9 = 173 / 9 = 19.2.
Therefore, the mean of this data set is 19.2.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, there are no values that appear more than once.
Therefore, the data set has zero modes.
Here are the numbers of calls received at a customer support service during
8
randomly chosen, hour-long intervals.
8
,
10
,
24
,
15
,
11
,
6
,
20
,
6
Send data to calculator
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
8
randomly chosen, hour-long intervals.
8
,
10
,
24
,
15
,
11
,
6
,
20
,
6
Send data to calculator
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
(a) To find the mean of the data set, we add up all the numbers of calls received and divide by the number of intervals:
(8 + 10 + 24 + 15 + 11 + 6 + 20 + 6) / 8 = 100 / 8 = 12.5.
Therefore, the mean of this data set is 12.5.
(b) To find the median of the data set, we first need to arrange the numbers in ascending order:
6, 6, 8, 10, 11, 15, 20, 24.
The median is the middle value in the data set. Since there are 8 data points, the median will be the average of the 4th and 5th values: (10 + 11) / 2 = 10.5.
Therefore, the median of this data set is 10.5.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the values 6 and 24 both appear twice, which is more than any other value.
Therefore, the data set has two modes, which are 6 and 24.
(8 + 10 + 24 + 15 + 11 + 6 + 20 + 6) / 8 = 100 / 8 = 12.5.
Therefore, the mean of this data set is 12.5.
(b) To find the median of the data set, we first need to arrange the numbers in ascending order:
6, 6, 8, 10, 11, 15, 20, 24.
The median is the middle value in the data set. Since there are 8 data points, the median will be the average of the 4th and 5th values: (10 + 11) / 2 = 10.5.
Therefore, the median of this data set is 10.5.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the values 6 and 24 both appear twice, which is more than any other value.
Therefore, the data set has two modes, which are 6 and 24.
The following list contains the average annual total returns (in percentage points) for
9
mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.
8
,
33
,
21
,
30
,
8
,
30
,
35
,
30
,
8
Send data to calculator
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
9
mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.
8
,
33
,
21
,
30
,
8
,
30
,
35
,
30
,
8
Send data to calculator
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes: and
(a) To find the median of the data set, we first need to arrange the average annual total returns in ascending order:
8, 8, 8, 21, 30, 30, 30, 33, 35.
The median is the middle value in the data set. Since there are 9 data points, the median will be the value in the 5th position, which is 30.
Therefore, the median of this data set is 30.
(b) To find the mean of the data set, we add up all the average annual total returns and divide by the number of mutual funds:
(8 + 33 + 21 + 30 + 8 + 30 + 35 + 30 + 8) / 9 = 203 / 9 = 22.6.
Therefore, the mean of this data set is 22.6.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the value 8 appears three times, which is more than any other value.
Therefore, the data set has one mode, which is 8.
8, 8, 8, 21, 30, 30, 30, 33, 35.
The median is the middle value in the data set. Since there are 9 data points, the median will be the value in the 5th position, which is 30.
Therefore, the median of this data set is 30.
(b) To find the mean of the data set, we add up all the average annual total returns and divide by the number of mutual funds:
(8 + 33 + 21 + 30 + 8 + 30 + 35 + 30 + 8) / 9 = 203 / 9 = 22.6.
Therefore, the mean of this data set is 22.6.
(c) To determine the mode(s) of the data set, we look for the value(s) that appear most frequently. In this case, the value 8 appears three times, which is more than any other value.
Therefore, the data set has one mode, which is 8.