The ages of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 60 46 37 47 51 47 39 55 48 D
The ages of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 60 46 37 47 51 47 39 55 48 D
The ages of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 60 46 37 47 51 47 39 55 48 D
Transcribed Image Text:The ages of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data, explain
why.
60 46 37 47 51 47 39 55 48 D
Find the mean age. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The mean age is
(Round to one decimal place as needed.)
O B. There is no mean age
Does the mean represent the center of the data?
O A. The mean represents the center.
O B. The mean does not represent the center because it is the smallest data value.
O C. The mean does not represent the center because it is the largest data value.
O D. The mean does not represent the center because it is not a data value.
O E. There is no mean age
Find the median age. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The median age is.
(Round to one decimal place as needed.)
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Transcribed Image Text:The anes of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data
explain why.
O D. The mean does not represent the center because it is not a data value.
O E. There is no mean age.
Find the median age. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The median age is
(Round to one decimal place as needed.)
O B. There is no median age.
Does the median represent the center of the data?
O A. The median represents the center.
O B. The median does not represent the center because it is the largest data value.
O C. The median does not represent the center because it is the smallest data value
O D. The median does not represent the center because it is not a data value.
O E. There is no median age.
Find the mode of the ages. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The mode(s) of the ages is (are)
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Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.
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