analysing data - mean, mode, median and range help please!?

Question

have a maths question thats very important please help i'd really appreciate it -
I have to statistically analyze wages of two salons - and show what these mean for the company. i did this by calculating the mean, mode, median and range the results were:
salon 1 mean = £287.50 mode = £300 median = £300 range = £450
salon 2 mean = £305.00 mode = £300 median = £300 range = £450
this is where i got stuck i don't know what to write about these results and what they show for the salons?? Like what does the median, mode and range show as they are the same?? and what does this mean for the salon? thanks!

Answer 1

Are you sure of the data? Range is the difference between the maximum and the minimum. Mode is the value of the peak in the distribution. Median is that value which divides the population into half above and half below the median.

Mean is the arithmetical average of the data distribution. With the median, mode and the range being the same, how the mean is different? If possible, pl. send the raw data separately to me after emailing me.

Answer 2

Standard deviation is a measure of the spread of a series of observations. Range is the difference between the largest value in a series from the lowest value. Standard deviation and range give an idea of the variation there is in the results. The other three are variations of averages, although the term average is often used to be equivalent to mean, as we do not use modes and medians in everyday life much. Mean (or more properly the arithmetic mean as there are actually other types of mean) is the sum of the observations divided by the number of observations. It is the value which is the most likely to be closest to the next observation. The median is the value in a series of observations which, if the observations are placed in order, is the middle of the observations, i.e. the same number of observations which have a higher value than the median than a lower value. If there are an even set of observations the median will not be unique, there will be two of them and it is normal practice if the two values are different to take the mean of the two to form the median. The mode is the value which occurs most often in a series of observations. You may prefer to use a mean in a series of values which vary infinitely, i.e. are not just integer numbers, e.g. the mean of the concentration of salt in the sea. You may prefer to use the mode if you have a large number of similar observations with integer numbers and want to find out what result is most likely to occur for the next observation. If you look at the mean family size, it may be 2.4 children, but no single family can have 2.4 kids. The greatest number of families will have the mode or modal value, 2 children. However the mode does not give the sense that there are more families which have more than 2 kids than less than 2. The median is often calcuated to find out how much it differs from the mean or mode. This gives an indication of whether there are more higher values than lower values in the series of observations.