Mean median mode range definition12/9/2023 ![]() Maths has a median score of \(78\) and a range of \(10\) so all the results were close to the mean and the median. ![]() The largest value in the list is, the smallest is, and their difference is, so the range is. The mode is the number that is repeated most often, but all the numbers in this list appear only once, so there is no mode. 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. So the median of this list is, a value that isnt in the list at all. This is far greater than the range of scores in the Maths which is \(10\). The range of scores in English is \(35\). Standard deviation measures how far the data 'deviates' from the center, on average. Range is the span between the smallest value and largest value. The mode is the value or values that occur most frequently. The mean and median indicate the 'center' of the data points. The range is not an average, but a measure of the spread of the values (or marks in this case). Each of the five measures can be calculated with simple arithmetic. 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 3rd sheet involves decimals and negative numbers. The 2nd sheet involves the use of decimals to 1dp. The first sheet involve finding the mean, median, mode and range of some positive whole numbers. As stated in, we do not need to know all the exact values to. These printable mean median mode range worksheets have been carefully graded to ensure a progression in the level of difficulty. 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. The median is known as a measure of location that is, it tells us where the data are. This is partly true, but there are also some much higher scores. Question 2: The value of the mean of five numbers is observed to be 18. The largest value in the list is 21, and the smallest is 13, so the range is 21 13 8. There are two middle numbers ( (4) and (6)), so we find the mean of these two numbers. The medians, \(73\) and \(78\) suggest that the students generally scored less well in English. The mode is the number that is repeated more often than any other, so 13 is the mode. It is calculated by subtracting the lowest value from the highest value. However, looking at the actual scores, you can see that this is not the case. It is a measure of how spread out the values are. This suggests that the scores of the students are similar in English and Maths. The mean score in each subject is \(78\).
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