Numeracy Test - Have they made an error?

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#1
I was answering a question in Numeracy practice test 2 online about mode, median and range. One of the questions asks:

True or False? Some pupils in the class scored less than 12%
From the table the data states the RANGE = 60%. The MEDIAN = 50% and the MODE=72%

The answer is then given as FALSE. And the reasoning is : The mode is 72%, meaning at least one pupil got 72% The range minus the mode = the minimum score. 72-60 = 12% So no pupil scored below 12%

My issue is that the MODE is surely the 'most popular' score. So in fact pupils could have scored above or below this mark. So the range could span from 40% to 100% or 20%-80% etc My only clue is the median (middle value) is 50% So could I say that 30% above and 30% below is the 60% range? Or is this incorrect visualisation?

Please note I have dyslexia, so tend to see things differently to other people. Can anyone explain where I'm going wrong?
0
7 years ago
#2
If that's the question
The answer can not be true (as there's not enough information)

Did it tell you the number of students?

Mode is the most occurring answer
Median - middle number if all written out in a incremental fashion
Mean - add them all up and divide by number if values

Range - top number - lowest value
Nothing says 72 is the highest value

Posted from TSR Mobile
0
7 years ago
#3
The answer is false. Assume that the highest mark is the mode - 72. If the range is 60, 72-60 = 12, the lowest possible scorw. Of course people could have scored more, meaning that the lowest would be higher than 12 but couldn't be lower than it
0
7 years ago
#4
It's right although the justification isn't well explained. The mode is the most popular score, however for someone to have got less than 12% with a range of 60% then the maximum value must be less than 72% (for example if the lowest score was 11% then the maximum score would be 71%,) as at least one person has got 72% since it is the mode, therefore it is impossible for there to be a score of less than 12%, otherwise the range would be more than 60%.
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