Give an example of each of the following situations explain your choices 1. where the mean provides the most useful information 2. where the median provides the most useful information 3. where the mode provide the most useful information

1. When determining the average change in a data set
2. When the data is skewed. You'll need to relocate your central station of data. Because the skewed data is dragging all your data away from its true typical value.(If the data is correct then the answers of mean, median, and mode should almost be identical.)
3. Determining the most common category, typically based on data points or a graph (example: transport)

Hope this helps!!  :)

The answer is given below.

Step-by-step explanation:  The examples are as follows:

(1) When we are to calculate the average of the marks scored in all the subjects, then the mean (average) of our scores will provide the most important information.

(2) When we are to find the middle value of the ages when arranged in the ascending order, then the median of the ages of the population will provide the most important information.

(3) When we are to find the amount most of the people of our company are getting paid, then the MODE of the salaries in our company will provide the most important information.

Hence answered.

Therefore x=9

Step-by-step explanation:

Give that,

log x+ log (x-3) = log 54

log x(x-3) =log 54             [       ]

x(x-3) = 54

Now expand the above equation to get a quadratic equation

x²-3x=54

⇒x²-9x+6x-54=0

⇒x(x-9)+6(x-9)=0

⇒(x-9)(x+6)=0

⇒x-9=0  or, x+6=0

⇒x=9,-6

Now putting x= -6 in the given expression,

log(-6)+log(-6-9)=log 54.

Since log (-6) does not exist.

Therefore x=9