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Teaching and classroom

Class average calculator

Class average calculator

The mean, median, highest and lowest of a set of marks, plus the share at or above a pass mark you enter.

How this is calculated

Mean = sum of the marks / number of marks. Median is the middle value of the sorted list, or the average of the two middle values when the count is even. The pass share is the number of marks at or above the pass mark divided by the number of marks.

  • The median is printed next to the mean because one very high or very low mark moves the mean and barely moves the median. On a small class the two can disagree by several marks, and which one describes the class is a judgement, not an arithmetic fact.
  • Only the marks you paste are counted. Absent students and papers not yet marked are not zeros unless you enter them as zeros.

A class list reduced to the figures a report needs: how many marks, the mean, the median, the range and the share at or above a pass mark you supply.

Two averages, because they answer different questions

The mean adds every mark and divides by the count; the median sorts the list and takes the middle. On a small class one very high or very low mark moves the mean and barely moves the median, so seeing both is a check on whether a single paper is carrying the average. The highest and lowest are printed beside them because a tight range and a wide one are different classes even at the same mean.

The pass share counts marks at or above the figure you enter, divided by the count. The pass mark is a field rather than a default because it is set by a board, a school or a paper, and a page that chose one would be answering for a rule it does not know. Absent students and unmarked papers are not zeros here unless you type them as zeros.

Questions readers ask

Which average should a report card use?

That is a school decision, not an arithmetic one. The mean uses every mark; the median resists a single outlier; a board may prescribe one or the other. The page shows both so the choice can be made with the numbers in front of you.

Can I paste marks separated by commas?

Yes. The list is split on commas, semicolons and whitespace as well as line breaks, and anything that is not a number is ignored. A mark written as a fraction such as 85/100 is not read as a number; enter the mark alone.

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