![]() Math definitions generally give only the specific technical sense of words your use of "range from this to that" is a common-language sense, which can be found in ordinary dictionaries, and doesn't need a special definition. I answered, starting with a definition from a standard American English dictionary: Thanks for writing to Dr. The anonymous student finds only this definition, as a noun, in math dictionaries why don’t they say what it means as a verb? And isn’t the fact that the values range from 72 to 94 more important than the mere difference? (If you think that’s wrong, we’ll get to that soon …) If the only definition of range is the difference, why do we say "They range."? We are always talking about "They range in age from, or they range in height, or they range in weight, or they range in size, etc.". I can find only one definition of range in the math dictionaries - the difference between the smallest and the largest number in a set. I’ll start with a question from 2003: Definitions of Range What is range? Mathematical and other usage Is “range” defined as the interval containing the data, or the difference between largest and smallest values, or 1 more than that? Yes! All three are used, and are useful. Maths has a median score of \(78\) and a range of \(10\) so all the results were close to the mean and the median.A recent question about two interpretations of the range of a data set in statistics leads us into some older questions and some mysteries. In summary, both English and Maths have a mean score of \(78\) however English has a median score of \(71\) and a range of \(35\) as some students scored much higher than others. This is far greater than the range of scores in the Maths which is \(10\). The range of scores in English is \(35\). The range is not an average, but a measure of the spread of the values (or marks in this case). However, in order to highlight the differences in the marks scored and to give maximum information, a combination of the median and the range would be best. The mean is usually the best measure of the average, as it takes into account all of the data values. ![]() It depends on the context in which the result is to be used. The modal score for each subject \(96\) and \(78\) suggests that the students did better in English however this is only considering the two top marks in English and you have no information about the scores of the other students. The median is only a measure of the middle value, as there will be the same number of values above and below this middle value. This is partly true, but there are also some much higher scores. The medians, \(73\) and \(78\) suggest that the students generally scored less well in English. However, looking at the actual scores, you can see that this is not the case. This suggests that the scores of the students are similar in English and Maths. The mean score in each subject is \(78\). ![]() If you were to compare the scores in the two subjects, which measure of average would you use and why?
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