Question

In: Statistics and Probability

The ages of the members of a legislature from a particular state are listed below. Find...

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.

61, 41 ,38,44,55,44,36,57,48

Find the mean age. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The mean age is

​(Round to one decimal place as​ needed.)

B.

There is no mean age.

The median age is.

​(Round to one decimal place as​ needed.)

B.

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.

A.The​ mode(s) of the ages is​ (are)

​(Round to one decimal place as needed. Use a comma to separate answers as​ needed.)

B.

There is no mode.

Solutions

Expert Solution

Data for the ages of the members of a legislature is given as:

Median: When the number of data in the data set is ODD the formula to calculate the median is term.

There are total number n=9 data in the given data set.

The median is the 5th term of the data set.

So first in order to find the median, we need to write value of data set in an ordered way.

The 5th of the above data set is 44. Hence the median for the given data set is 44

Mode: It is the value in the data set that occurs most frequently.

So for the given data set the value 44 is comes two times. So the Mode for this data set is 44

The calculated values of mean, median and mode for the given data set is

orchestra answered 1 year ago
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