So with football, for example, you would take how many goals were scored but in gymnastics, the gymnast would do a routine and then there are a number of judges that will give that routine a score. Steph: So, one thing I learned is that sports have different scoring systems. And then I got into watching sports in my local area and on TV, where I watched things like the Football World Cup and the Olympics.īobby: What did you learn from watching things like the Olympics? Steph: So, I played loads of sports growing up, all kinds of sports. the average.īobby: You’re a sports coach, but how did you get into sports? This would make the average higher or lower than would be expected. An average could be skewed because of an unusually high or low value. that could skew close skew If a set of data is skewed, it is not evenly spread out. The average used needs to take into account any outliers close outlier A value that is an unusual result that lies well beyond the rest of the data. The most appropriate average to use depends on the data values, and what conclusions need to be made.Īn average is meant to reflect a typical value. Together with the range, averages are used to summarise data. It is calculated by subtracting the lowest value from the highest value. It is a measure of how spread out the values are. The range close range The difference between the highest and lowest values in a set of numbers. The mode can have one value, more than one value, or no value. and mode close mode A type of average calculated by finding the value that occurs most often. If there are two middle numbers, the median is the mean of those two numbers. To calculate the mean, add the values together and divide the total by the number of values., median close median A type of average calculated by finding the middle value of a set of numbers in ascending order. They are called the mean close mean The most commonly used measure of average. Maths has a median score of \(78\) and a range of \(10\) so all the results were close to the mean and the median.An average is a single ‘typical’ value that is used to represent a set of values. 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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