Then determine the mean, median, mode and rage of the given data set.
#Median mode and how to
Maths has a median score of \(78\) and a range of \(10\) so all the results were close to the mean and the median. How To Play Use the mouse to drag or touch and drag the numbers to sort them in ascending order (from smallest to largest). 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.
If two numbers are in the middle, then we simply average those numbers. Unlike mean, median is not amenable to further mathematical calculation and hence is not used in many statistical tests. This is far greater than the range of scores in the Maths which is \(10\). The median is the middle number of an ordered list. Measures of Central Tendency Now, let’s talk about the real deal We define a measure of central tendency as a single value that is used to explain a set of data by locating the central position within the said set of data.
To calculate the mean, add the values together and divide the total by the number of values. The range of scores in English is \(35\). The mean, median, mode, and range are some of the typically used measures of central tendency. Maths Averages Mean The mean is the most commonly used measure of average. 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 \(78\).
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