They are all forms of average.
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Average is a synonym for mean (the mathematical term not the adjective)
The mode is a statistical term that refers to the value that appears most frequently in a data set. It is one of the measures of central tendency, alongside the mean and median. In cases where multiple values appear with the same highest frequency, the data set is considered multimodal. If no number repeats, the data set is said to have no mode.
For a set of data. Mean is the correct way of saying Average. Median is the absolute mid point of the terms in rank order. Mode is the term that occurs most often. Here is a set of data 1,2,3,3,5 It is rank order from lowest to highest/ Mean = ( 1+2+3+3+5) / 5 = 14/5 = 2 3/5 = 2.8 Median ; is '3' it is the absolute middle term in the set of data Mode is also '3' , because it occurs twice ( most often) , whereas all the other terms only occur once.
First of all place the numbers in rank order. Hence 46,57,68,72,72,93. RANGE; is the difference between the highest and lowest numbers, which is 93-46 = 47 MEDIAN: is the absolute mid-point. Since there is no absolute mid-point, we take the two middle numbers , add them and divide by '2'. Hence. ( 68+72)/2 = 70 MODE: is the term that occurs most frequently. In this case '72'. as there are two of them , but only one each of the other terms. MEAN; Add all the terms and divide by the number of terms. (46+57+68+72+72+93) / 6 = 408/6 = 68
100,90,85, 90,80,75,80.90. Rearrange the terms in rank order. 75,80,80,85,90,90,90,100. MEAN : Add all the terms together and divide by the number of terms. Hence:- (75+80+80+85+90+90+90,+100)/8 => 690/8 = 86.25 MEDIAN : Is the Absolute middle term. Since there are an even number of terms, we take the two middle terms, which are 85 & 90. (NB This leaves three terms to the left of '85' and three terms to the right of '90'. ). Add these two terms and divide by '2'. Hence (85+90) / 2 = 87.5 MODE : Is the most frequent term. The one term that appears most often. In this case it is '90', as there are three lots of '90', but only two lots of 80, and only one each of the remaining terms. = 90. .