Sue played four games of golf. For these games her modal score was 98 and her mean score was 100. Her range of scores was 10.
What were her scores for the four games?
Write her scores left to right in ascending order.
___, ___, ___, ___
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If the modal score is 98 then there must be two games where she scored 98.
If 98 is the lowest then the highest would have to be 108(this doesnt work) so we know it is _ 98 98 __
The mean is the total of all of her scores divided by the number of games so the scores must add to 400 to have a mean of 100
98+98+x+y=400
x+y= 204
Because the range is 10 and we know that x is the lowest and y is the highest we can say that:
y=x+10
x+x+10=204
2x+10=204
2x=194
x=97
97+10= 107
THEREFORE THE ASCENDING ORDER IS 97 98 98 107.
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